TY  - CONF
AU  - Jović, Biljana
AU  - Čučaković, Aleksandar
AU  - Marković, Marija
AU  - Cvijić, Katarina
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2268
AB  - A sustainable design based on biomimicry can still fulfill the functional needs of humans and be
visually satisfying by representing man's connection to nature. Biomorphic means life, living forms,
it’s often associated with organic shapes and patterns and it has its wide use in landscape
architecture. In the past few decades, there has been a great deal of progress in the study of natural systems as a means of developing contemporary design solutions. The biomimetic approach involves a close connection between biology and technology, which requires special attention because these are two areas that are fundamentally different. Biology is descriptive, broad, and variable, while technology is more numerical, with many guidelines and limitations. By this way, biomimetic as a design tool has so much potential that in the future it has yet to find comprehensive application in projects developed in the landscape architecture profession.
A design solution that uses biomimicry can be as highly stylized on different ways, but the
aesthetics will always be dictated by the perfect shapes of the nature. This reserch is inspired by the specific shape and unique beauty of the orchid flower. The study involves exploring the biomimetic pattern of a flower in its parametric modeling and its application in landscape design. This paper deals with the research of a species of the genus Phalaenopsis sp., it contains analysis of its natural form using a bionic pattern and parametric modeling of its flower. The result is the development of a conceptual solution for urban furniture designed for representative city areas. This part of the urban furniture is conceived as an organic and spontaneous structure of a beautiful orchid flower in the form of a unique city armchair.
The design of city furniture in urban areas plays one of the crucial roles in the process of shaping
the modern life, behavior and attitude of the contemporary urban humans towards the natural
environment. The application of biomimetic forms has a particular importance while constructing
an urban furniture, as it achieves the approach of the urban human to nature, and in some ways
restores their lost connection.
Applying a biomimetic approach could extend the role of landscape architecture like enhancing
shape, function and design processes as a primary initiator in collaborative, sustainable design.
PB  - 19th International Conference on Geometry and Graphics 2021 ISGG, São Paulo, Brazil
C3  - Book of Abstracts 19th International Conference on Geometry and Graphics 2021 ISGG, São Paulo, Brazil
T1  - Biomimetic approach to parametric flower modeling
EP  - 48
SP  - 47
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2268
ER  - 

@conference{
author = "Jović, Biljana and Čučaković, Aleksandar and Marković, Marija and Cvijić, Katarina",
year = "2021",
abstract = "A sustainable design based on biomimicry can still fulfill the functional needs of humans and be
visually satisfying by representing man's connection to nature. Biomorphic means life, living forms,
it’s often associated with organic shapes and patterns and it has its wide use in landscape
architecture. In the past few decades, there has been a great deal of progress in the study of natural systems as a means of developing contemporary design solutions. The biomimetic approach involves a close connection between biology and technology, which requires special attention because these are two areas that are fundamentally different. Biology is descriptive, broad, and variable, while technology is more numerical, with many guidelines and limitations. By this way, biomimetic as a design tool has so much potential that in the future it has yet to find comprehensive application in projects developed in the landscape architecture profession.
A design solution that uses biomimicry can be as highly stylized on different ways, but the
aesthetics will always be dictated by the perfect shapes of the nature. This reserch is inspired by the specific shape and unique beauty of the orchid flower. The study involves exploring the biomimetic pattern of a flower in its parametric modeling and its application in landscape design. This paper deals with the research of a species of the genus Phalaenopsis sp., it contains analysis of its natural form using a bionic pattern and parametric modeling of its flower. The result is the development of a conceptual solution for urban furniture designed for representative city areas. This part of the urban furniture is conceived as an organic and spontaneous structure of a beautiful orchid flower in the form of a unique city armchair.
The design of city furniture in urban areas plays one of the crucial roles in the process of shaping
the modern life, behavior and attitude of the contemporary urban humans towards the natural
environment. The application of biomimetic forms has a particular importance while constructing
an urban furniture, as it achieves the approach of the urban human to nature, and in some ways
restores their lost connection.
Applying a biomimetic approach could extend the role of landscape architecture like enhancing
shape, function and design processes as a primary initiator in collaborative, sustainable design.",
publisher = "19th International Conference on Geometry and Graphics 2021 ISGG, São Paulo, Brazil",
journal = "Book of Abstracts 19th International Conference on Geometry and Graphics 2021 ISGG, São Paulo, Brazil",
title = "Biomimetic approach to parametric flower modeling",
pages = "48-47",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2268"
}

Jović, B., Čučaković, A., Marković, M.,& Cvijić, K.. (2021). Biomimetic approach to parametric flower modeling. in Book of Abstracts 19th International Conference on Geometry and Graphics 2021 ISGG, São Paulo, Brazil
19th International Conference on Geometry and Graphics 2021 ISGG, São Paulo, Brazil., 47-48.
https://hdl.handle.net/21.15107/rcub_grafar_2268

Jović B, Čučaković A, Marković M, Cvijić K. Biomimetic approach to parametric flower modeling. in Book of Abstracts 19th International Conference on Geometry and Graphics 2021 ISGG, São Paulo, Brazil. 2021;:47-48.
https://hdl.handle.net/21.15107/rcub_grafar_2268 .

Jović, Biljana, Čučaković, Aleksandar, Marković, Marija, Cvijić, Katarina, "Biomimetic approach to parametric flower modeling" in Book of Abstracts 19th International Conference on Geometry and Graphics 2021 ISGG, São Paulo, Brazil (2021):47-48,
https://hdl.handle.net/21.15107/rcub_grafar_2268 .

TY  - JOUR
AU  - Jović, Biljana
AU  - Čučaković, Aleksandar
AU  - Grbić, Mihailo
PY  - 2021
UR  - https://www.mdpi.com/2071-1050/13/9/4662
UR  - https://www.mdpi.com/journal/sustainability
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2381
AB  - Many cities nowadays explore different circular designs as new sustainable city concepts in different urban aspects. The new trend, as part of the adaptation for climate change, is a strategy of increasing the number of urban open spaces, and circular plan design could be a sustainable approach to urban development. This paper provides a historical overview of various examples of circular objects containing built structures and open spaces from the Neolithic to the present. The Built-Up Area (BUA) and Open Space (OS) relationships are shown histogramically for 36 objects arranged chronologically. The morphospace analysis was performed to determine any possible regularity in the relationships of parts of circular objects. For the purpose of this research, three variables were chosen. First, all selected historical examples of circular objects were divided into two main categories: objects with a total diameter smaller than 300 m and objects with a total diameter bigger than 300 m. Additionally, the selected circular objects were divided by their type of open space to better understand their spatial position. The largest number of analyzed objects belongs to the Parks–Gardens category, followed by settlements, and then earth works, sacral objects and circular buildings, with the smallest number of circular objects being in the category of allotments and plazas. The second variable was Jam area and % of Jam. The buildings are of different sizes up to several hundred m2, and the areas range up to several hundred ha. The total area to OS ratio ranges from 0% (for Large Serdab) to 100% (for multiple objects). There is a similar situation with the diameter ratios (total and “jam”). Additionally, the final variable was the historical position of the selected circular objects. Circular objects belong to all historical periods from the Neolithic to the present. The aim of this research was to explore the relationship between OS and BUA in various circular objects with different diameters of open spaces and find out if there was any regularity in this relationship. The morphospace analysis of this research indicates that there is no clear regularity in the relationship between the built-up area and the open space, but the aspects and research results shown here contribute to sustainability since the circular design approach could play a key role in future circular design processes.
PB  - MDPI
T2  - Sustainability
T1  - Circle in Space—Space in Circle: A Study of Ratio between Open Space and Built-Up Area in Historical Circular Objects
IS  - 9
SP  - 4662
VL  - 13
DO  - https://doi.org/10.3390/su13094662
ER  - 

@article{
author = "Jović, Biljana and Čučaković, Aleksandar and Grbić, Mihailo",
year = "2021",
abstract = "Many cities nowadays explore different circular designs as new sustainable city concepts in different urban aspects. The new trend, as part of the adaptation for climate change, is a strategy of increasing the number of urban open spaces, and circular plan design could be a sustainable approach to urban development. This paper provides a historical overview of various examples of circular objects containing built structures and open spaces from the Neolithic to the present. The Built-Up Area (BUA) and Open Space (OS) relationships are shown histogramically for 36 objects arranged chronologically. The morphospace analysis was performed to determine any possible regularity in the relationships of parts of circular objects. For the purpose of this research, three variables were chosen. First, all selected historical examples of circular objects were divided into two main categories: objects with a total diameter smaller than 300 m and objects with a total diameter bigger than 300 m. Additionally, the selected circular objects were divided by their type of open space to better understand their spatial position. The largest number of analyzed objects belongs to the Parks–Gardens category, followed by settlements, and then earth works, sacral objects and circular buildings, with the smallest number of circular objects being in the category of allotments and plazas. The second variable was Jam area and % of Jam. The buildings are of different sizes up to several hundred m2, and the areas range up to several hundred ha. The total area to OS ratio ranges from 0% (for Large Serdab) to 100% (for multiple objects). There is a similar situation with the diameter ratios (total and “jam”). Additionally, the final variable was the historical position of the selected circular objects. Circular objects belong to all historical periods from the Neolithic to the present. The aim of this research was to explore the relationship between OS and BUA in various circular objects with different diameters of open spaces and find out if there was any regularity in this relationship. The morphospace analysis of this research indicates that there is no clear regularity in the relationship between the built-up area and the open space, but the aspects and research results shown here contribute to sustainability since the circular design approach could play a key role in future circular design processes.",
publisher = "MDPI",
journal = "Sustainability",
title = "Circle in Space—Space in Circle: A Study of Ratio between Open Space and Built-Up Area in Historical Circular Objects",
number = "9",
pages = "4662",
volume = "13",
doi = "https://doi.org/10.3390/su13094662"
}

Jović, B., Čučaković, A.,& Grbić, M.. (2021). Circle in Space—Space in Circle: A Study of Ratio between Open Space and Built-Up Area in Historical Circular Objects. in Sustainability
MDPI., 13(9), 4662.
https://doi.org/https://doi.org/10.3390/su13094662

Jović B, Čučaković A, Grbić M. Circle in Space—Space in Circle: A Study of Ratio between Open Space and Built-Up Area in Historical Circular Objects. in Sustainability. 2021;13(9):4662.
doi:https://doi.org/10.3390/su13094662 .

Jović, Biljana, Čučaković, Aleksandar, Grbić, Mihailo, "Circle in Space—Space in Circle: A Study of Ratio between Open Space and Built-Up Area in Historical Circular Objects" in Sustainability, 13, no. 9 (2021):4662,
https://doi.org/https://doi.org/10.3390/su13094662 . .

TY  - CONF
AU  - Dragović, Magdalena
AU  - Čičević, Svetlana
AU  - Čučaković, Aleksandar
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2267
AB  - At the Faculty of Civil Engineering in Belgrade, in the Descriptive geometry (DG) course,
non-obligatory workshops named “facultative task” are held for the three generations of freshman
students with the aim to give students the opportunity to get higher final grade on the exam. The
content of this workshop was a creative task, performed by a group of three students, offering free
choice of a topic, i.e. the geometric structure associated with some real or imagery
architectural/art-work object.
After the workshops a questionnaire (composed by the professors at the course) is given to the
students, in order to get their response on teaching/learning materials for the DG course and the
workshop. During the workshop students performed one of the common tests for testing spatial
abilities, named “paper folding".
Based on the results of the questionnairethe investigation of the linkages between:students’
final achievements and spatial abilities, as well as students’ expectations of their performance on
the exam, and how the students’ capacity to correctly estimate their grades were associated with
expected and final grades, is provided. The goal was to give an evidence that a creative work,
performed by a small group of students and self-assessment of their performances are a good way
of helping students to maintain motivation and to accomplish their achievement.
The final conclusion is addressed to the benefits of additional workshops employment in the
course, which confirmhigherfinal scores-grades, achievement of creative results (facultative tasks)
and confirmation of DG knowledge adaption.
PB  - Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade
C3  - PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020
T1  - The benefits of an additional practice in descriptive geomerty course: non obligatory workshop at the Faculty of Civil Engineering in Belgrade
EP  - 480
SP  - 471
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2267
ER  - 

@conference{
author = "Dragović, Magdalena and Čičević, Svetlana and Čučaković, Aleksandar",
year = "2020",
abstract = "At the Faculty of Civil Engineering in Belgrade, in the Descriptive geometry (DG) course,
non-obligatory workshops named “facultative task” are held for the three generations of freshman
students with the aim to give students the opportunity to get higher final grade on the exam. The
content of this workshop was a creative task, performed by a group of three students, offering free
choice of a topic, i.e. the geometric structure associated with some real or imagery
architectural/art-work object.
After the workshops a questionnaire (composed by the professors at the course) is given to the
students, in order to get their response on teaching/learning materials for the DG course and the
workshop. During the workshop students performed one of the common tests for testing spatial
abilities, named “paper folding".
Based on the results of the questionnairethe investigation of the linkages between:students’
final achievements and spatial abilities, as well as students’ expectations of their performance on
the exam, and how the students’ capacity to correctly estimate their grades were associated with
expected and final grades, is provided. The goal was to give an evidence that a creative work,
performed by a small group of students and self-assessment of their performances are a good way
of helping students to maintain motivation and to accomplish their achievement.
The final conclusion is addressed to the benefits of additional workshops employment in the
course, which confirmhigherfinal scores-grades, achievement of creative results (facultative tasks)
and confirmation of DG knowledge adaption.",
publisher = "Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade",
journal = "PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020",
title = "The benefits of an additional practice in descriptive geomerty course: non obligatory workshop at the Faculty of Civil Engineering in Belgrade",
pages = "480-471",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2267"
}

Dragović, M., Čičević, S.,& Čučaković, A.. (2020). The benefits of an additional practice in descriptive geomerty course: non obligatory workshop at the Faculty of Civil Engineering in Belgrade. in PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020
Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade., 471-480.
https://hdl.handle.net/21.15107/rcub_grafar_2267

Dragović M, Čičević S, Čučaković A. The benefits of an additional practice in descriptive geomerty course: non obligatory workshop at the Faculty of Civil Engineering in Belgrade. in PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020. 2020;:471-480.
https://hdl.handle.net/21.15107/rcub_grafar_2267 .

Dragović, Magdalena, Čičević, Svetlana, Čučaković, Aleksandar, "The benefits of an additional practice in descriptive geomerty course: non obligatory workshop at the Faculty of Civil Engineering in Belgrade" in PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020 (2020):471-480,
https://hdl.handle.net/21.15107/rcub_grafar_2267 .

TY  - CONF
AU  - Čučaković, Aleksandar
AU  - Jović, Biljana
AU  - Ocokoljić, Mirjana
AU  - Marković, Isidora
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2266
AB  - The contemporary design solutions are merging the boundaries between real and virtual world. The Landscape architecture like the other interdisciplinary field stepped in a contemporary technologies area focused on that, beside the good execution of works, designer solutions has to be more realistic and “touchable”. The opportunities provided by Virtual Reality are certainly not negligible, it is common knowledge that the designs in the world are already presented in this way so the Virtual Reality increasingly used.
Following the example of the application of virtual reality in landscape architecture, this paper deals with proposals for the use of virtual reality in landscape architecture so that designers, clients and users would have a virtual sense of scope e.g. rooftop garden, urban areas, parks, roads, etc. It is a programming language that creates a series of images creating a whole, so
certain parts can be controlled or even modified in VR. Virtual reality today requires a specific gadget, such as Occulus, HTC Vive, Samsung Gear VR and similar.
The aim of this paper is to acquire new theoretical and practical knowledge in the
interdisciplinary field of virtual reality, the ability to display using virtual reality methods, and to present through a brief overview the plant species used in the design and construction of an intensive roof garden in a Mediterranean climate, the basic characteristics of roofing gardens as well as the benefits they carry.
Virtual and augmented reality as technology is a very powerful tool for landscape architects, when modeling roof gardens, parks, and urban areas. One of the most popular technologies used by landscape architects is Google Tilt Brush, which enables fast modeling. The Google Tilt Brush VR app allows modeling in three-dimensional virtual space using a palette to work with the use of a three dimensional brush.
The terms of two "programmed" realities - virtual reality and augmented reality - are often confused. One thing they have in common, though, is VRML - Virtual Reality Modeling Language.
In this paper are shown the ways on which this issue can be solved and by the way, get closer the term of Virtual Reality (VR), also all the opportunities which the Virtual reality offered us. As well, in this paper are shown the conditions of Mediterranean climate, the conceptual solution and the plant species which will be used by execution of intensive green roof on the motel “Marković”.
PB  - Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade
C3  - PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020
T1  - The contemporary visualization and modelling technologies and the techniques for the design of the green roofs
EP  - 294
SP  - 283
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2266
ER  - 

@conference{
author = "Čučaković, Aleksandar and Jović, Biljana and Ocokoljić, Mirjana and Marković, Isidora",
year = "2020",
abstract = "The contemporary design solutions are merging the boundaries between real and virtual world. The Landscape architecture like the other interdisciplinary field stepped in a contemporary technologies area focused on that, beside the good execution of works, designer solutions has to be more realistic and “touchable”. The opportunities provided by Virtual Reality are certainly not negligible, it is common knowledge that the designs in the world are already presented in this way so the Virtual Reality increasingly used.
Following the example of the application of virtual reality in landscape architecture, this paper deals with proposals for the use of virtual reality in landscape architecture so that designers, clients and users would have a virtual sense of scope e.g. rooftop garden, urban areas, parks, roads, etc. It is a programming language that creates a series of images creating a whole, so
certain parts can be controlled or even modified in VR. Virtual reality today requires a specific gadget, such as Occulus, HTC Vive, Samsung Gear VR and similar.
The aim of this paper is to acquire new theoretical and practical knowledge in the
interdisciplinary field of virtual reality, the ability to display using virtual reality methods, and to present through a brief overview the plant species used in the design and construction of an intensive roof garden in a Mediterranean climate, the basic characteristics of roofing gardens as well as the benefits they carry.
Virtual and augmented reality as technology is a very powerful tool for landscape architects, when modeling roof gardens, parks, and urban areas. One of the most popular technologies used by landscape architects is Google Tilt Brush, which enables fast modeling. The Google Tilt Brush VR app allows modeling in three-dimensional virtual space using a palette to work with the use of a three dimensional brush.
The terms of two "programmed" realities - virtual reality and augmented reality - are often confused. One thing they have in common, though, is VRML - Virtual Reality Modeling Language.
In this paper are shown the ways on which this issue can be solved and by the way, get closer the term of Virtual Reality (VR), also all the opportunities which the Virtual reality offered us. As well, in this paper are shown the conditions of Mediterranean climate, the conceptual solution and the plant species which will be used by execution of intensive green roof on the motel “Marković”.",
publisher = "Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade",
journal = "PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020",
title = "The contemporary visualization and modelling technologies and the techniques for the design of the green roofs",
pages = "294-283",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2266"
}

Čučaković, A., Jović, B., Ocokoljić, M.,& Marković, I.. (2020). The contemporary visualization and modelling technologies and the techniques for the design of the green roofs. in PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020
Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade., 283-294.
https://hdl.handle.net/21.15107/rcub_grafar_2266

Čučaković A, Jović B, Ocokoljić M, Marković I. The contemporary visualization and modelling technologies and the techniques for the design of the green roofs. in PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020. 2020;:283-294.
https://hdl.handle.net/21.15107/rcub_grafar_2266 .

Čučaković, Aleksandar, Jović, Biljana, Ocokoljić, Mirjana, Marković, Isidora, "The contemporary visualization and modelling technologies and the techniques for the design of the green roofs" in PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020 (2020):283-294,
https://hdl.handle.net/21.15107/rcub_grafar_2266 .

TY  - CONF
AU  - Bogdanović, Jelena
AU  - Dragović, Magdalena
AU  - Čučaković, Aleksandar
AU  - Pejić, Marko
AU  - Forehand, Leslie
AU  - Danilović, Dušan
AU  - Kerton, Charles
AU  - Stević, Zoran
AU  - Yeager, Travis
AU  - Gasper, Jacob
AU  - Martinenko, Anastasija
PY  - 2020
UR  - https://mong2020masbg.wordpress.com/2020/09/06/the-exhibition/
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2261
AB  - This project reveals surveying data and architectural design of the major church in the Studenica monastery complex in Serbia reflected in a variety of 3D models and the analysis of the church interior and exterior. Architecture-driven computational parametric modeling was done by using two types of data: close range photogrammetry and high precision laser scanning. The modeling, based on geometric parameters and other planimetric and volumetric analysis, is devised
during the four-year study as part of the project Parametric Research of the Studenica Church, a UNESCO Heritage Site, as a Model for Advanced Studies of Medieval Architecture. These models allow for better understanding and representation of the proportional, aesthetic and illumination qualities of the Studenica church and for prototyping procedures for examining other medieval domed churches where we lack more detailed references about their architectural design.
PB  - Faculty of Mechanical Engineering, University of Belgrade
C3  - Dimensions reflected - catalog, Accompanying program of the 7th International scientific conference ’’moNGeometrija 2020’’
T1  - Parametric Modeling of the Church in the Studenica Monastery in Serbia
EP  - 16
IS  - Dimensions Reflected – Exhibition of ideas, designs and models
SP  - 16
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2261
ER  - 

@conference{
author = "Bogdanović, Jelena and Dragović, Magdalena and Čučaković, Aleksandar and Pejić, Marko and Forehand, Leslie and Danilović, Dušan and Kerton, Charles and Stević, Zoran and Yeager, Travis and Gasper, Jacob and Martinenko, Anastasija",
year = "2020",
abstract = "This project reveals surveying data and architectural design of the major church in the Studenica monastery complex in Serbia reflected in a variety of 3D models and the analysis of the church interior and exterior. Architecture-driven computational parametric modeling was done by using two types of data: close range photogrammetry and high precision laser scanning. The modeling, based on geometric parameters and other planimetric and volumetric analysis, is devised
during the four-year study as part of the project Parametric Research of the Studenica Church, a UNESCO Heritage Site, as a Model for Advanced Studies of Medieval Architecture. These models allow for better understanding and representation of the proportional, aesthetic and illumination qualities of the Studenica church and for prototyping procedures for examining other medieval domed churches where we lack more detailed references about their architectural design.",
publisher = "Faculty of Mechanical Engineering, University of Belgrade",
journal = "Dimensions reflected - catalog, Accompanying program of the 7th International scientific conference ’’moNGeometrija 2020’’",
title = "Parametric Modeling of the Church in the Studenica Monastery in Serbia",
pages = "16-16",
number = "Dimensions Reflected – Exhibition of ideas, designs and models",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2261"
}

Bogdanović, J., Dragović, M., Čučaković, A., Pejić, M., Forehand, L., Danilović, D., Kerton, C., Stević, Z., Yeager, T., Gasper, J.,& Martinenko, A.. (2020). Parametric Modeling of the Church in the Studenica Monastery in Serbia. in Dimensions reflected - catalog, Accompanying program of the 7th International scientific conference ’’moNGeometrija 2020’’
Faculty of Mechanical Engineering, University of Belgrade.(Dimensions Reflected – Exhibition of ideas, designs and models), 16-16.
https://hdl.handle.net/21.15107/rcub_grafar_2261

Bogdanović J, Dragović M, Čučaković A, Pejić M, Forehand L, Danilović D, Kerton C, Stević Z, Yeager T, Gasper J, Martinenko A. Parametric Modeling of the Church in the Studenica Monastery in Serbia. in Dimensions reflected - catalog, Accompanying program of the 7th International scientific conference ’’moNGeometrija 2020’’. 2020;(Dimensions Reflected – Exhibition of ideas, designs and models):16-16.
https://hdl.handle.net/21.15107/rcub_grafar_2261 .

Bogdanović, Jelena, Dragović, Magdalena, Čučaković, Aleksandar, Pejić, Marko, Forehand, Leslie, Danilović, Dušan, Kerton, Charles, Stević, Zoran, Yeager, Travis, Gasper, Jacob, Martinenko, Anastasija, "Parametric Modeling of the Church in the Studenica Monastery in Serbia" in Dimensions reflected - catalog, Accompanying program of the 7th International scientific conference ’’moNGeometrija 2020’’, no. Dimensions Reflected – Exhibition of ideas, designs and models (2020):16-16,
https://hdl.handle.net/21.15107/rcub_grafar_2261 .

TY  - CONF
AU  - Dragović, Magdalena
AU  - Čučaković, Aleksandar
AU  - Bogdanović, Jelena
AU  - Čičević, Svetlana
AU  - Trifunović, Aleksandar
PY  - 2020
UR  - https://2019.smartart-conference.rs/proceedings/
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2265
AB  - The use of proportions is one of the oldest theoretical issues in architecture. However, sometimes geometry, with its specific shapes and constraints
between them, can fully describe the logic of architectural design. This paper
presents geometric proportional schemas of the Serbian medieval church of the
monastery Ljubostinja (built around 1387), the representative of so-called Morava
architectural style.
The research is partly based on Ivo Štambuk’s proportional canon, which he applied on several churches, in wider Mediterranean region during prolonged period of time (4th to 15th c.). Štambuk’s proportional canon is based on two circles and one equilateral triangle constrained to each other and set relative to characteristic points of the church plan and cross-section, above all the location of the altar and the center of the church dome. By adding principles of triangulation and dynamic rectangles, this paper demonstrates more precise proportional model of the church plan and the cross-section through the dome. Results show that the proportions of the Ljubostinja’s church can be interpreted by dynamic rectangles (their diagonals are square roots of full numbers) with ratios 1:√2, 1:√3, 1:√5 and, in addition, by specific scheme of equilateral triangles which are constrained to the characteristic points of the church space: center point of the apse and the dome.
PB  - University of Arts in Belgrade Faculty of Applied Arts Kralja Petra 4, Belgrade,Serbia
C3  - PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE SMARTART – ART AND SCIENCE APPLIED From Inspiration to Interaction
T1  - Geometric proportional model of the church of the Ljubostinja monastery
EP  - 434
SP  - 423
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2265
ER  - 

@conference{
author = "Dragović, Magdalena and Čučaković, Aleksandar and Bogdanović, Jelena and Čičević, Svetlana and Trifunović, Aleksandar",
year = "2020",
abstract = "The use of proportions is one of the oldest theoretical issues in architecture. However, sometimes geometry, with its specific shapes and constraints
between them, can fully describe the logic of architectural design. This paper
presents geometric proportional schemas of the Serbian medieval church of the
monastery Ljubostinja (built around 1387), the representative of so-called Morava
architectural style.
The research is partly based on Ivo Štambuk’s proportional canon, which he applied on several churches, in wider Mediterranean region during prolonged period of time (4th to 15th c.). Štambuk’s proportional canon is based on two circles and one equilateral triangle constrained to each other and set relative to characteristic points of the church plan and cross-section, above all the location of the altar and the center of the church dome. By adding principles of triangulation and dynamic rectangles, this paper demonstrates more precise proportional model of the church plan and the cross-section through the dome. Results show that the proportions of the Ljubostinja’s church can be interpreted by dynamic rectangles (their diagonals are square roots of full numbers) with ratios 1:√2, 1:√3, 1:√5 and, in addition, by specific scheme of equilateral triangles which are constrained to the characteristic points of the church space: center point of the apse and the dome.",
publisher = "University of Arts in Belgrade Faculty of Applied Arts Kralja Petra 4, Belgrade,Serbia",
journal = "PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE SMARTART – ART AND SCIENCE APPLIED From Inspiration to Interaction",
title = "Geometric proportional model of the church of the Ljubostinja monastery",
pages = "434-423",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2265"
}

Dragović, M., Čučaković, A., Bogdanović, J., Čičević, S.,& Trifunović, A.. (2020). Geometric proportional model of the church of the Ljubostinja monastery. in PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE SMARTART – ART AND SCIENCE APPLIED From Inspiration to Interaction
University of Arts in Belgrade Faculty of Applied Arts Kralja Petra 4, Belgrade,Serbia., 423-434.
https://hdl.handle.net/21.15107/rcub_grafar_2265

Dragović M, Čučaković A, Bogdanović J, Čičević S, Trifunović A. Geometric proportional model of the church of the Ljubostinja monastery. in PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE SMARTART – ART AND SCIENCE APPLIED From Inspiration to Interaction. 2020;:423-434.
https://hdl.handle.net/21.15107/rcub_grafar_2265 .

Dragović, Magdalena, Čučaković, Aleksandar, Bogdanović, Jelena, Čičević, Svetlana, Trifunović, Aleksandar, "Geometric proportional model of the church of the Ljubostinja monastery" in PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE SMARTART – ART AND SCIENCE APPLIED From Inspiration to Interaction (2020):423-434,
https://hdl.handle.net/21.15107/rcub_grafar_2265 .

TY  - CONF
AU  - Dragović, Magdalena
AU  - Čučaković, Aleksandar
AU  - Čičević, Svetlana
AU  - Trifunović, Aleksandar
AU  - Matijević, Tamara
AU  - Matić, Veljko
PY  - 2020
UR  - https://mong2020masbg.wordpress.com/2020/09/06/the-exhibition/
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2262
AB  - At the Faculty of Civil Engineering, University of Belgrade, beside the obligatory forms of lectures and exercises, freshmen students have the opportunity to widen their practical experience in application of geometric knowledge, gained at Descriptive Geometry course, through non obligatory workshop. It was organized at the Faculty classrooms during two days, such that a group of students (three students) works on a creative geometry task, within given conditions. Starting from free choice of an existing or imagery type of architectural structure (a whole building or its roofng structure) students should provide its geometric interpretation of orthogonal projections on a 3D physical model of coordinate system -1; 3D model in Auto-CAD sofware (the alternative is cardboard model) - 2; presentation of a structure in 3D augmented reality application “Augment” – 3; visual appearance of a structure in architecture/design (a photo image) -4; poster summary of the sub-tasks – 5. The satisfactory completion of a task would enable a student to get higher grade in the fnal exam at Descriptive geometry course. 
Based on the results of additional questionnaire administered to the participants at the end of the workshop, besides good achievement, creativity, self-confdence and high-quality teamwork signifcantly contribute to overall satisfaction of students.
PB  - Faculty of Mechanical Engineering, University of Belgrade
C3  - Dimensions Reflected- catalog – Exhibition of ideas, designs and models, Accompanying program of the 7th International scientific conference ’’moNGeometrija 2020’’
T1  - An additional students’ task at Descriptive Geometry
EP  - 34
SP  - 34
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2262
ER  - 

@conference{
author = "Dragović, Magdalena and Čučaković, Aleksandar and Čičević, Svetlana and Trifunović, Aleksandar and Matijević, Tamara and Matić, Veljko",
year = "2020",
abstract = "At the Faculty of Civil Engineering, University of Belgrade, beside the obligatory forms of lectures and exercises, freshmen students have the opportunity to widen their practical experience in application of geometric knowledge, gained at Descriptive Geometry course, through non obligatory workshop. It was organized at the Faculty classrooms during two days, such that a group of students (three students) works on a creative geometry task, within given conditions. Starting from free choice of an existing or imagery type of architectural structure (a whole building or its roofng structure) students should provide its geometric interpretation of orthogonal projections on a 3D physical model of coordinate system -1; 3D model in Auto-CAD sofware (the alternative is cardboard model) - 2; presentation of a structure in 3D augmented reality application “Augment” – 3; visual appearance of a structure in architecture/design (a photo image) -4; poster summary of the sub-tasks – 5. The satisfactory completion of a task would enable a student to get higher grade in the fnal exam at Descriptive geometry course. 
Based on the results of additional questionnaire administered to the participants at the end of the workshop, besides good achievement, creativity, self-confdence and high-quality teamwork signifcantly contribute to overall satisfaction of students.",
publisher = "Faculty of Mechanical Engineering, University of Belgrade",
journal = "Dimensions Reflected- catalog – Exhibition of ideas, designs and models, Accompanying program of the 7th International scientific conference ’’moNGeometrija 2020’’",
title = "An additional students’ task at Descriptive Geometry",
pages = "34-34",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2262"
}

Dragović, M., Čučaković, A., Čičević, S., Trifunović, A., Matijević, T.,& Matić, V.. (2020). An additional students’ task at Descriptive Geometry. in Dimensions Reflected- catalog – Exhibition of ideas, designs and models, Accompanying program of the 7th International scientific conference ’’moNGeometrija 2020’’
Faculty of Mechanical Engineering, University of Belgrade., 34-34.
https://hdl.handle.net/21.15107/rcub_grafar_2262

Dragović M, Čučaković A, Čičević S, Trifunović A, Matijević T, Matić V. An additional students’ task at Descriptive Geometry. in Dimensions Reflected- catalog – Exhibition of ideas, designs and models, Accompanying program of the 7th International scientific conference ’’moNGeometrija 2020’’. 2020;:34-34.
https://hdl.handle.net/21.15107/rcub_grafar_2262 .

Dragović, Magdalena, Čučaković, Aleksandar, Čičević, Svetlana, Trifunović, Aleksandar, Matijević, Tamara, Matić, Veljko, "An additional students’ task at Descriptive Geometry" in Dimensions Reflected- catalog – Exhibition of ideas, designs and models, Accompanying program of the 7th International scientific conference ’’moNGeometrija 2020’’ (2020):34-34,
https://hdl.handle.net/21.15107/rcub_grafar_2262 .

TY  - CONF
AU  - Jović, Biljana
AU  - Čučaković, Aleksandar
AU  - Marković, Marija
AU  - Cvijić, Katarina
PY  - 2020
UR  - https://link.springer.com/book/10.1007/978-3-030-63403-2
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2263
AB  - Biodesign means life, living forms, it’s often associated with organic shapes and patterns and it has its wide use in landscape architecture. In the past few decades, there has been a great deal of progress in the study of natural systems as a means of developing contemporary design solutions. The biomimetic approach involves a close connection between biology and technology, which requires special attention because these are two areas that are fundamentally different. Biology is descriptive, broad, and variable, while technology is more numerical, with many guidelines and limitations. By this way, biomimetic as a design tool has so much potential that in the future it has yet to find comprehensive application in projects developed in the landscape architecture profession. A design solution that uses biomimicry can be as highly stylized on different ways, but the aesthetics will always be dictated by the perfect shapes of the nature. This research is inspired by the specific shape and unique beauty of the orchid flower. The study involves exploring the biomimetic pattern of a flower in its parametric modeling and its application in landscape design. This paper deals with the research of a species of the genus Phalaenopsis sp., it contains analysis of its natural form using a bionic pattern and parametric modeling of its flower. The result is the development of a conceptual solution for urban furniture designed for representative city areas.
PB  - Advances in Intelligent Systems and Computing book series (AISC, volume 1296); Conference proceedings ICGG 2020
C3  - Proceedings of the 19th International Conference on Geometry and Graphics  ICGG 2020; Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1296)
T1  - Biomimetic Approach to Parametric Flower Modeling
EP  - 251
SP  - 244
VL  - 1296
DO  - 10.1007/978-3-030-63403-2_22
ER  - 

@conference{
author = "Jović, Biljana and Čučaković, Aleksandar and Marković, Marija and Cvijić, Katarina",
year = "2020",
abstract = "Biodesign means life, living forms, it’s often associated with organic shapes and patterns and it has its wide use in landscape architecture. In the past few decades, there has been a great deal of progress in the study of natural systems as a means of developing contemporary design solutions. The biomimetic approach involves a close connection between biology and technology, which requires special attention because these are two areas that are fundamentally different. Biology is descriptive, broad, and variable, while technology is more numerical, with many guidelines and limitations. By this way, biomimetic as a design tool has so much potential that in the future it has yet to find comprehensive application in projects developed in the landscape architecture profession. A design solution that uses biomimicry can be as highly stylized on different ways, but the aesthetics will always be dictated by the perfect shapes of the nature. This research is inspired by the specific shape and unique beauty of the orchid flower. The study involves exploring the biomimetic pattern of a flower in its parametric modeling and its application in landscape design. This paper deals with the research of a species of the genus Phalaenopsis sp., it contains analysis of its natural form using a bionic pattern and parametric modeling of its flower. The result is the development of a conceptual solution for urban furniture designed for representative city areas.",
publisher = "Advances in Intelligent Systems and Computing book series (AISC, volume 1296); Conference proceedings ICGG 2020",
journal = "Proceedings of the 19th International Conference on Geometry and Graphics  ICGG 2020; Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1296)",
title = "Biomimetic Approach to Parametric Flower Modeling",
pages = "251-244",
volume = "1296",
doi = "10.1007/978-3-030-63403-2_22"
}

Jović, B., Čučaković, A., Marković, M.,& Cvijić, K.. (2020). Biomimetic Approach to Parametric Flower Modeling. in Proceedings of the 19th International Conference on Geometry and Graphics  ICGG 2020; Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1296)
Advances in Intelligent Systems and Computing book series (AISC, volume 1296); Conference proceedings ICGG 2020., 1296, 244-251.
https://doi.org/10.1007/978-3-030-63403-2_22

Jović B, Čučaković A, Marković M, Cvijić K. Biomimetic Approach to Parametric Flower Modeling. in Proceedings of the 19th International Conference on Geometry and Graphics  ICGG 2020; Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1296). 2020;1296:244-251.
doi:10.1007/978-3-030-63403-2_22 .

Jović, Biljana, Čučaković, Aleksandar, Marković, Marija, Cvijić, Katarina, "Biomimetic Approach to Parametric Flower Modeling" in Proceedings of the 19th International Conference on Geometry and Graphics  ICGG 2020; Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1296), 1296 (2020):244-251,
https://doi.org/10.1007/978-3-030-63403-2_22 . .

TY  - CONF
AU  - Čučaković, Aleksandar
AU  - Jović, Biljana
AU  - Ocokoljić, Mirjana
AU  - Marković, Isidora
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2378
AB  - The contemporary design solutions are merging the boundaries between real and virtual
world. The Landscape architecture like the other interdisciplinary field stepped in a contemporary
technologies area focused on that, beside the good execution of works, designer solutions has to be more realistic and “touchable”. The opportunities provided by Virtual Reality are certainly not
negligible, it is common knowledge that the designs in the world are already presented in this way
so the Virtual Reality increasingly used.
Following the example of the application of virtual reality in landscape architecture, this
paper deals with proposals for the use of virtual reality in landscape architecture so that designers,
clients and users would have a virtual sense of scope e.g. rooftop garden, urban areas, parks,
roads, etc. It is a programming language that creates a series of images creating a whole, so
certain parts can be controlled or even modified in VR. Virtual reality today requires a specific
gadget, such as Occulus, HTC Vive, Samsung Gear VR and similar.
The aim of this paper is to acquire new theoretical and practical knowledge in the
interdisciplinary field of virtual reality, the ability to display using virtual reality methods, and to
present through a brief overview the plant species used in the design and construction of an
intensive roof garden in a Mediterranean climate, the basic characteristics of roofing gardens as
well as the benefits they carry.
Virtual and augmented reality as technology is a very powerful tool for landscape architects,
when modeling roof gardens, parks, and urban areas. One of the most popular technologies used by landscape architects is Google Tilt Brush, which enables fast modeling. The Google Tilt Brush VR app allows modeling in three-dimensional virtual space using a palette to work with the use of a three-dimensional brush.
The terms of two "programmed" realities - virtual reality and augmented reality - are often
confused. One thing they have in common, though, is VRML - Virtual Reality Modeling Language.
In this paper are shown the ways on which this issue can be solved and by the way, get closer
the term of Virtual Reality (VR), also all the opportunities which the Virtual reality offered us. As
well, in this paper are shown the conditions of Mediterranean climate, the conceptual solution and
the plant species which will be used by execution of intensive green roof on the motel “Marković”.
PB  - Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade
C3  - Book of Abstracts of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020
T1  - The contemporary visualization and modelling technologies and techniques for the design of the green roofs
EP  - 78
SP  - 76
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2378
ER  - 

@conference{
author = "Čučaković, Aleksandar and Jović, Biljana and Ocokoljić, Mirjana and Marković, Isidora",
year = "2020",
abstract = "The contemporary design solutions are merging the boundaries between real and virtual
world. The Landscape architecture like the other interdisciplinary field stepped in a contemporary
technologies area focused on that, beside the good execution of works, designer solutions has to be more realistic and “touchable”. The opportunities provided by Virtual Reality are certainly not
negligible, it is common knowledge that the designs in the world are already presented in this way
so the Virtual Reality increasingly used.
Following the example of the application of virtual reality in landscape architecture, this
paper deals with proposals for the use of virtual reality in landscape architecture so that designers,
clients and users would have a virtual sense of scope e.g. rooftop garden, urban areas, parks,
roads, etc. It is a programming language that creates a series of images creating a whole, so
certain parts can be controlled or even modified in VR. Virtual reality today requires a specific
gadget, such as Occulus, HTC Vive, Samsung Gear VR and similar.
The aim of this paper is to acquire new theoretical and practical knowledge in the
interdisciplinary field of virtual reality, the ability to display using virtual reality methods, and to
present through a brief overview the plant species used in the design and construction of an
intensive roof garden in a Mediterranean climate, the basic characteristics of roofing gardens as
well as the benefits they carry.
Virtual and augmented reality as technology is a very powerful tool for landscape architects,
when modeling roof gardens, parks, and urban areas. One of the most popular technologies used by landscape architects is Google Tilt Brush, which enables fast modeling. The Google Tilt Brush VR app allows modeling in three-dimensional virtual space using a palette to work with the use of a three-dimensional brush.
The terms of two "programmed" realities - virtual reality and augmented reality - are often
confused. One thing they have in common, though, is VRML - Virtual Reality Modeling Language.
In this paper are shown the ways on which this issue can be solved and by the way, get closer
the term of Virtual Reality (VR), also all the opportunities which the Virtual reality offered us. As
well, in this paper are shown the conditions of Mediterranean climate, the conceptual solution and
the plant species which will be used by execution of intensive green roof on the motel “Marković”.",
publisher = "Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade",
journal = "Book of Abstracts of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020",
title = "The contemporary visualization and modelling technologies and techniques for the design of the green roofs",
pages = "78-76",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2378"
}

Čučaković, A., Jović, B., Ocokoljić, M.,& Marković, I.. (2020). The contemporary visualization and modelling technologies and techniques for the design of the green roofs. in Book of Abstracts of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020
Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade., 76-78.
https://hdl.handle.net/21.15107/rcub_grafar_2378

Čučaković A, Jović B, Ocokoljić M, Marković I. The contemporary visualization and modelling technologies and techniques for the design of the green roofs. in Book of Abstracts of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020. 2020;:76-78.
https://hdl.handle.net/21.15107/rcub_grafar_2378 .

Čučaković, Aleksandar, Jović, Biljana, Ocokoljić, Mirjana, Marković, Isidora, "The contemporary visualization and modelling technologies and techniques for the design of the green roofs" in Book of Abstracts of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020 (2020):76-78,
https://hdl.handle.net/21.15107/rcub_grafar_2378 .

TY  - JOUR
AU  - Jočković, Miloš
AU  - Radenković, Gligor
AU  - Nefovska-Danilović, Marija
AU  - Baitsch, M.
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/986
AB  - This paper deals with the linear free vibration analysis of Bernoulli–Euler and Rayleigh curved beams using isogeometric approach. The geometry of the beam as well as the displacement field are defined using the NURBS basis functions which present the basic concept of the isogeometric analysis. A novel approach based on the fundamental relations of the differential geometry and Cauchy continuum beam model is presented and applied to derive the stiffness and consistent mass matrices of the corresponding spatial curved beam element. In the Bernoulli–Euler beam element only translational and torsional inertia are taken into account, while the Rayleigh beam element takes all inertial terms into consideration. Due to their formulation, isogeometric beam elements can be used for the dynamic analysis of spatial curved beams. Several illustrative examples have been chosen in order to check the convergence and accuracy of the proposed method. The results have been compared with the available data from the literature as well as with the finite element solutions.
PB  - Elsevier Inc.
T2  - Applied Mathematical Modelling
T1  - Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach
EP  - 172
SP  - 152
VL  - 71
DO  - 10.1016/j.apm.2019.02.002
ER  - 

@article{
author = "Jočković, Miloš and Radenković, Gligor and Nefovska-Danilović, Marija and Baitsch, M.",
year = "2019",
abstract = "This paper deals with the linear free vibration analysis of Bernoulli–Euler and Rayleigh curved beams using isogeometric approach. The geometry of the beam as well as the displacement field are defined using the NURBS basis functions which present the basic concept of the isogeometric analysis. A novel approach based on the fundamental relations of the differential geometry and Cauchy continuum beam model is presented and applied to derive the stiffness and consistent mass matrices of the corresponding spatial curved beam element. In the Bernoulli–Euler beam element only translational and torsional inertia are taken into account, while the Rayleigh beam element takes all inertial terms into consideration. Due to their formulation, isogeometric beam elements can be used for the dynamic analysis of spatial curved beams. Several illustrative examples have been chosen in order to check the convergence and accuracy of the proposed method. The results have been compared with the available data from the literature as well as with the finite element solutions.",
publisher = "Elsevier Inc.",
journal = "Applied Mathematical Modelling",
title = "Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach",
pages = "172-152",
volume = "71",
doi = "10.1016/j.apm.2019.02.002"
}

Jočković, M., Radenković, G., Nefovska-Danilović, M.,& Baitsch, M.. (2019). Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach. in Applied Mathematical Modelling
Elsevier Inc.., 71, 152-172.
https://doi.org/10.1016/j.apm.2019.02.002

Jočković M, Radenković G, Nefovska-Danilović M, Baitsch M. Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach. in Applied Mathematical Modelling. 2019;71:152-172.
doi:10.1016/j.apm.2019.02.002 .

Jočković, Miloš, Radenković, Gligor, Nefovska-Danilović, Marija, Baitsch, M., "Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach" in Applied Mathematical Modelling, 71 (2019):152-172,
https://doi.org/10.1016/j.apm.2019.02.002 . .

TY  - CONF
AU  - Dragović, Magdalena
AU  - Čučaković, Aleksandar
AU  - Bogdanović, Jelena
AU  - Čičević, Svetlana
AU  - Trifunović, Aleksandar
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2264
AB  - Пропорције архитектонских објеката се сматрају једним од најстаријих теоретских питања архитектуре, приближавајући се са једне стране математици, а са друге уметности-креативности у примени складних-хармоничних односа у њеној појавности. Рад
приказује пропорције једног од најистакнутијих објеката наше средњевековне сакралне културне баштине – цркве манастира Љубостиња (1387) код Трстеника.
Црква Љубостиње, чији је ктитор кнегиња Милица, у свом архитектонском програму садржи припрату, наос и олтарски простор, а зидана је по принципима Моравске
стилске групе, са карактеристичним обликом основе триконхосом, или „тролистом”.
У конструктивном смислу, над централним простором је главно кубе, које се ослања
на четири једнака лука, који носе крстообразно распоређене полукружне сводове, у
правцу апсиде и бочних певничких (полукружних) простора. Припрата, која је зидана
једновремено са осталим деловима цркве, је приближно квадратног облика, са слепом калотом изнутра, у то време значајног распона. Оваква архитектонско-грађевинска концепција, која је карактеристична за традиционалне светогорске цркве, у овом
раду налази своју геометријску интерпретацију пропорција.
Истраживање се једним делом ослања на пропорцијски канон (за пројектовање цркава) Ива Штамбука, који је аутор применио на црквама ширег просторног оквира Медитерана, у временском распону од IV до касног XV века, успостављајући пропорцијски
однос 1:√3 чврстим релацијама два карактеристична круга и једног једнакостраничног
троугла. У контексту примењеног канона, указује се на симболичко повезивање функционално значајних места на објекту (центра апсиде – у основи, тј. центра куполе – у
пресеку) са пратећом геометријском шемом. Иако је техника грађења у средњевековној Србији варирала у нивоу прецизности (ортогоналност зидова, симетрија и сл.), цртежи – пропорцијске анализе основе и пресека цркве манастира Љубостиња, уз мање
графичке грешке, указују на примену пропорција 1:1, 1:√2, 1:1.618 (златни пресек), 1:√3
и 1:√5, у дефинисању просторне целине и/или делова објекта. Интересантно је да се,
као и у претходним истраживањима аутора, у контексту Рашке стилске групе објеката,
црква може „премерити” једнакостраничним троугловима. Методом уписивања или
описивања динамичких правоугаоника (чије су дијагонале вредности квадратних корена целих бројева) у контуре објекта, успостављена је „скривена“ геометријска шема,
која детерминише грађевинско-архитектонску концепцију овог објекта. Истраживање
је показало да слични принципи пропорционисања постоје и код објеката са преморавским развијеним триконхосним планом (Св. Архангели у Кучевишту и Рђевац, код
Косовске Каменице), као и моравском Лазарицом (у Крушевцу).
Пропорцијске анализе основе и пресека цркве манастира Љубостиња, где се као
основне фигуре користе једнакостранични троугао, квадрат и круг, са једне стране, и
динамички правоугаоници, са друге, указују на то да су средњевековни мајстори Моравске стилске групе поседовали завидан степен геометријског знања и креативности
у пропорционисању сакралних објеката, чији је резултат хармоничан склад делова и
целине.
PB  - Факултет примењених уметности у Београду
C3  - КЊИГА АПСТРАКАТА ПРВА МЕЂУНАРОДНА КОНФЕРЕНЦИЈА SMARTART УМЕТНОСТ И НАУКА У ПРИМЕНИ, Факултет примењених уметности у Београду
T1  - Геометријски пропорцијски модел цркве манастира Љубостиња
EP  - 92
SP  - 91
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2264
ER  - 

@conference{
author = "Dragović, Magdalena and Čučaković, Aleksandar and Bogdanović, Jelena and Čičević, Svetlana and Trifunović, Aleksandar",
year = "2019",
abstract = "Пропорције архитектонских објеката се сматрају једним од најстаријих теоретских питања архитектуре, приближавајући се са једне стране математици, а са друге уметности-креативности у примени складних-хармоничних односа у њеној појавности. Рад
приказује пропорције једног од најистакнутијих објеката наше средњевековне сакралне културне баштине – цркве манастира Љубостиња (1387) код Трстеника.
Црква Љубостиње, чији је ктитор кнегиња Милица, у свом архитектонском програму садржи припрату, наос и олтарски простор, а зидана је по принципима Моравске
стилске групе, са карактеристичним обликом основе триконхосом, или „тролистом”.
У конструктивном смислу, над централним простором је главно кубе, које се ослања
на четири једнака лука, који носе крстообразно распоређене полукружне сводове, у
правцу апсиде и бочних певничких (полукружних) простора. Припрата, која је зидана
једновремено са осталим деловима цркве, је приближно квадратног облика, са слепом калотом изнутра, у то време значајног распона. Оваква архитектонско-грађевинска концепција, која је карактеристична за традиционалне светогорске цркве, у овом
раду налази своју геометријску интерпретацију пропорција.
Истраживање се једним делом ослања на пропорцијски канон (за пројектовање цркава) Ива Штамбука, који је аутор применио на црквама ширег просторног оквира Медитерана, у временском распону од IV до касног XV века, успостављајући пропорцијски
однос 1:√3 чврстим релацијама два карактеристична круга и једног једнакостраничног
троугла. У контексту примењеног канона, указује се на симболичко повезивање функционално значајних места на објекту (центра апсиде – у основи, тј. центра куполе – у
пресеку) са пратећом геометријском шемом. Иако је техника грађења у средњевековној Србији варирала у нивоу прецизности (ортогоналност зидова, симетрија и сл.), цртежи – пропорцијске анализе основе и пресека цркве манастира Љубостиња, уз мање
графичке грешке, указују на примену пропорција 1:1, 1:√2, 1:1.618 (златни пресек), 1:√3
и 1:√5, у дефинисању просторне целине и/или делова објекта. Интересантно је да се,
као и у претходним истраживањима аутора, у контексту Рашке стилске групе објеката,
црква може „премерити” једнакостраничним троугловима. Методом уписивања или
описивања динамичких правоугаоника (чије су дијагонале вредности квадратних корена целих бројева) у контуре објекта, успостављена је „скривена“ геометријска шема,
која детерминише грађевинско-архитектонску концепцију овог објекта. Истраживање
је показало да слични принципи пропорционисања постоје и код објеката са преморавским развијеним триконхосним планом (Св. Архангели у Кучевишту и Рђевац, код
Косовске Каменице), као и моравском Лазарицом (у Крушевцу).
Пропорцијске анализе основе и пресека цркве манастира Љубостиња, где се као
основне фигуре користе једнакостранични троугао, квадрат и круг, са једне стране, и
динамички правоугаоници, са друге, указују на то да су средњевековни мајстори Моравске стилске групе поседовали завидан степен геометријског знања и креативности
у пропорционисању сакралних објеката, чији је резултат хармоничан склад делова и
целине.",
publisher = "Факултет примењених уметности у Београду",
journal = "КЊИГА АПСТРАКАТА ПРВА МЕЂУНАРОДНА КОНФЕРЕНЦИЈА SMARTART УМЕТНОСТ И НАУКА У ПРИМЕНИ, Факултет примењених уметности у Београду",
title = "Геометријски пропорцијски модел цркве манастира Љубостиња",
pages = "92-91",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2264"
}

Dragović, M., Čučaković, A., Bogdanović, J., Čičević, S.,& Trifunović, A.. (2019). Геометријски пропорцијски модел цркве манастира Љубостиња. in КЊИГА АПСТРАКАТА ПРВА МЕЂУНАРОДНА КОНФЕРЕНЦИЈА SMARTART УМЕТНОСТ И НАУКА У ПРИМЕНИ, Факултет примењених уметности у Београду
Факултет примењених уметности у Београду., 91-92.
https://hdl.handle.net/21.15107/rcub_grafar_2264

Dragović M, Čučaković A, Bogdanović J, Čičević S, Trifunović A. Геометријски пропорцијски модел цркве манастира Љубостиња. in КЊИГА АПСТРАКАТА ПРВА МЕЂУНАРОДНА КОНФЕРЕНЦИЈА SMARTART УМЕТНОСТ И НАУКА У ПРИМЕНИ, Факултет примењених уметности у Београду. 2019;:91-92.
https://hdl.handle.net/21.15107/rcub_grafar_2264 .

Dragović, Magdalena, Čučaković, Aleksandar, Bogdanović, Jelena, Čičević, Svetlana, Trifunović, Aleksandar, "Геометријски пропорцијски модел цркве манастира Љубостиња" in КЊИГА АПСТРАКАТА ПРВА МЕЂУНАРОДНА КОНФЕРЕНЦИЈА SMARTART УМЕТНОСТ И НАУКА У ПРИМЕНИ, Факултет примењених уметности у Београду (2019):91-92,
https://hdl.handle.net/21.15107/rcub_grafar_2264 .

TY  - CONF
AU  - Драговић, Магдалена
AU  - Чучаковић, Александар
AU  - Богдановић, Јелена
AU  - Чичевић, Светлана
AU  - Трифуновић, Александар
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1887
AB  - Пропорције архитектонских објеката се сматрају једним од најстаријих теоретских питања архитектуре, приближавајући се са једне стране математици, а са друге уметности-креативности у примени складних-хармоничних  односа у њеној појавности. Рад приказује пропорције једног од најистакнутијих објеката наше средњевековне сакралне културне баштине – цркве манастира Љубостиња (1387) код Трстеника. 
    Црква Љубостиње, чији је ктитор кнегиња Милица, у свом архитектонском програму садржи припрату, наос и олтарски простор, а зидана је по принципима Моравске стилске групе, са карактеристичним обликом  основе триконхосом, или „тролистом”. У конструктивном смислу, над централним простором је главно кубе, које се ослања на четири једнака лука, који носе крстообразно распоређене полукружне сводове, у правцу апсиде и бочних певничких (полукружних) простора. Припрата, која је зидана једновремено са осталим деловима цркве, је приближно квадратног облика, са слепом калотом изнутра, у то време значајног распона. Оваква архитектонско-грађевинска концепција, која је карактеристична за традиционалне светогорске цркве, у овом раду налази своју геометријску интерпретацију пропорција.
     Истраживање се једним делом ослања на пропорцијски канон (за пројектовање цркава) Ива Штамбука, који је аутор применио на црквама ширег просторног оквира Медитерана, у временском распону од IV до касног XV века, успостављајући пропорцијски однос 1:√3 чврстим релацијама два карактеристична круга и једног једнакостраничног троугла. У контексту примењеног канона, указује се на симболичко повезивање функционално значајних места на објекту (центра апсиде - у основи, тј. центра куполе – у пресеку) са пратећом геометријском шемом. Иако је техника грађења у средњевековној Србији варирала у нивоу прецизности (ортогоналност зидова, симетрија и сл.), цртежи-пропорцијске анализе основе и пресека цркве манастира Љубостиња, уз мање графичке грешке, указују на примену пропорција 1:1, 1:√2, 1:1.618 (златни пресек), 1:√3 и 1:√5, у дефинисању просторне целине и/или делова објекта. Интересантно је да се, као и у претходним истраживањима аутора, у контексту Рашке стилске групе објеката, црква може „премерити“ једнакостраничним троугловима. Методом уписивања или описивања динамичких правоугаоника (чије су дијагонале вредности квадратних корена целих бројева) у контуре објекта, успостављена је „скривена“ геометријска шема, која детерминише грађевинско-архитектонску концепцију овог објекта. Истраживање је показало да слични принципи пропорционисања постоје и код објеката са преморавским развијеним триконхосним планом (Св. Архангели у Кучевишту и Рђевац, код Косовске Каменице), као и моравском Лазарицом (у Крушевцу). 
     Пропорцијске анализе основе и пресека цркве манастира Љубостиња,  где се као основне фигуре користе једнакостранични троугао, квадрат и круг, са једне стране, и динамички правоугаоници, са друге, указују на то да су средњевековни мајстори Моравске стилске групе поседовали завидан степен геометријског знања и креативности у пропорционисању сакралних објеката, чији је резултат хармоничан склад делова и целине.
PB  - Факултет примењених уметности, Универзитет уметности у Београду
C3  - Књига апстраката - SMARTART Уметност и наука у примени
T1  - Геометријски пропорцијски модел цркве манастира Љубостиња
EP  - 92
SP  - 91
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1887
ER  - 

@conference{
author = "Драговић, Магдалена and Чучаковић, Александар and Богдановић, Јелена and Чичевић, Светлана and Трифуновић, Александар",
year = "2019",
abstract = "Пропорције архитектонских објеката се сматрају једним од најстаријих теоретских питања архитектуре, приближавајући се са једне стране математици, а са друге уметности-креативности у примени складних-хармоничних  односа у њеној појавности. Рад приказује пропорције једног од најистакнутијих објеката наше средњевековне сакралне културне баштине – цркве манастира Љубостиња (1387) код Трстеника. 
    Црква Љубостиње, чији је ктитор кнегиња Милица, у свом архитектонском програму садржи припрату, наос и олтарски простор, а зидана је по принципима Моравске стилске групе, са карактеристичним обликом  основе триконхосом, или „тролистом”. У конструктивном смислу, над централним простором је главно кубе, које се ослања на четири једнака лука, који носе крстообразно распоређене полукружне сводове, у правцу апсиде и бочних певничких (полукружних) простора. Припрата, која је зидана једновремено са осталим деловима цркве, је приближно квадратног облика, са слепом калотом изнутра, у то време значајног распона. Оваква архитектонско-грађевинска концепција, која је карактеристична за традиционалне светогорске цркве, у овом раду налази своју геометријску интерпретацију пропорција.
     Истраживање се једним делом ослања на пропорцијски канон (за пројектовање цркава) Ива Штамбука, који је аутор применио на црквама ширег просторног оквира Медитерана, у временском распону од IV до касног XV века, успостављајући пропорцијски однос 1:√3 чврстим релацијама два карактеристична круга и једног једнакостраничног троугла. У контексту примењеног канона, указује се на симболичко повезивање функционално значајних места на објекту (центра апсиде - у основи, тј. центра куполе – у пресеку) са пратећом геометријском шемом. Иако је техника грађења у средњевековној Србији варирала у нивоу прецизности (ортогоналност зидова, симетрија и сл.), цртежи-пропорцијске анализе основе и пресека цркве манастира Љубостиња, уз мање графичке грешке, указују на примену пропорција 1:1, 1:√2, 1:1.618 (златни пресек), 1:√3 и 1:√5, у дефинисању просторне целине и/или делова објекта. Интересантно је да се, као и у претходним истраживањима аутора, у контексту Рашке стилске групе објеката, црква може „премерити“ једнакостраничним троугловима. Методом уписивања или описивања динамичких правоугаоника (чије су дијагонале вредности квадратних корена целих бројева) у контуре објекта, успостављена је „скривена“ геометријска шема, која детерминише грађевинско-архитектонску концепцију овог објекта. Истраживање је показало да слични принципи пропорционисања постоје и код објеката са преморавским развијеним триконхосним планом (Св. Архангели у Кучевишту и Рђевац, код Косовске Каменице), као и моравском Лазарицом (у Крушевцу). 
     Пропорцијске анализе основе и пресека цркве манастира Љубостиња,  где се као основне фигуре користе једнакостранични троугао, квадрат и круг, са једне стране, и динамички правоугаоници, са друге, указују на то да су средњевековни мајстори Моравске стилске групе поседовали завидан степен геометријског знања и креативности у пропорционисању сакралних објеката, чији је резултат хармоничан склад делова и целине.",
publisher = "Факултет примењених уметности, Универзитет уметности у Београду",
journal = "Књига апстраката - SMARTART Уметност и наука у примени",
title = "Геометријски пропорцијски модел цркве манастира Љубостиња",
pages = "92-91",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1887"
}

Драговић, М., Чучаковић, А., Богдановић, Ј., Чичевић, С.,& Трифуновић, А.. (2019). Геометријски пропорцијски модел цркве манастира Љубостиња. in Књига апстраката - SMARTART Уметност и наука у примени
Факултет примењених уметности, Универзитет уметности у Београду., 91-92.
https://hdl.handle.net/21.15107/rcub_grafar_1887

Драговић М, Чучаковић А, Богдановић Ј, Чичевић С, Трифуновић А. Геометријски пропорцијски модел цркве манастира Љубостиња. in Књига апстраката - SMARTART Уметност и наука у примени. 2019;:91-92.
https://hdl.handle.net/21.15107/rcub_grafar_1887 .

Драговић, Магдалена, Чучаковић, Александар, Богдановић, Јелена, Чичевић, Светлана, Трифуновић, Александар, "Геометријски пропорцијски модел цркве манастира Љубостиња" in Књига апстраката - SMARTART Уметност и наука у примени (2019):91-92,
https://hdl.handle.net/21.15107/rcub_grafar_1887 .

TY  - CONF
AU  - Dragović, Magdalena
AU  - Čučaković, Aleksandar
AU  - Bogdanović, Jelena
AU  - Čičević, Svetlana
AU  - Trifunović, Aleksandar V.
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/987
AB  - Serbian medieval architectural heritage is notable for its sacred architecture including numerous Christian Orthodox churches built at the territory of former Raška state during the period from the 12th to the 14th centuries. Built in the so-called Raška architectural style, characterized by overlapping features of Romanesque and Byzantine traditions, two monuments—the church of the Mother of God in Studenica monastery complex and the church of Holy Dormition in Žiča monastery complex, are exquisite sacred structures and cultural monuments of exceptional importance. They are also remarkable due to geometric-proportional regularities of their design. This paper highlights the importance of geometric concept in relation to proportional analysis of these two structures. Here presented study is conducted by two means: first one—by investigating geometric scheme with equilateral triangles, incorporated into the layout and cross section patterns of each church structure; the second one—by classical proportioning that includes proportional roots, golden section and numeric ratios.
PB  - Springer Verlag
C3  - Advances in Intelligent Systems and Computing
T1  - Triangular proportional scheme and concept of the two serbian medieval churches
EP  - 689
SP  - 677
VL  - 809
DO  - 10.1007/978-3-319-95588-9_56
ER  - 

@conference{
author = "Dragović, Magdalena and Čučaković, Aleksandar and Bogdanović, Jelena and Čičević, Svetlana and Trifunović, Aleksandar V.",
year = "2019",
abstract = "Serbian medieval architectural heritage is notable for its sacred architecture including numerous Christian Orthodox churches built at the territory of former Raška state during the period from the 12th to the 14th centuries. Built in the so-called Raška architectural style, characterized by overlapping features of Romanesque and Byzantine traditions, two monuments—the church of the Mother of God in Studenica monastery complex and the church of Holy Dormition in Žiča monastery complex, are exquisite sacred structures and cultural monuments of exceptional importance. They are also remarkable due to geometric-proportional regularities of their design. This paper highlights the importance of geometric concept in relation to proportional analysis of these two structures. Here presented study is conducted by two means: first one—by investigating geometric scheme with equilateral triangles, incorporated into the layout and cross section patterns of each church structure; the second one—by classical proportioning that includes proportional roots, golden section and numeric ratios.",
publisher = "Springer Verlag",
journal = "Advances in Intelligent Systems and Computing",
title = "Triangular proportional scheme and concept of the two serbian medieval churches",
pages = "689-677",
volume = "809",
doi = "10.1007/978-3-319-95588-9_56"
}

Dragović, M., Čučaković, A., Bogdanović, J., Čičević, S.,& Trifunović, A. V.. (2019). Triangular proportional scheme and concept of the two serbian medieval churches. in Advances in Intelligent Systems and Computing
Springer Verlag., 809, 677-689.
https://doi.org/10.1007/978-3-319-95588-9_56

Dragović M, Čučaković A, Bogdanović J, Čičević S, Trifunović AV. Triangular proportional scheme and concept of the two serbian medieval churches. in Advances in Intelligent Systems and Computing. 2019;809:677-689.
doi:10.1007/978-3-319-95588-9_56 .

Dragović, Magdalena, Čučaković, Aleksandar, Bogdanović, Jelena, Čičević, Svetlana, Trifunović, Aleksandar V., "Triangular proportional scheme and concept of the two serbian medieval churches" in Advances in Intelligent Systems and Computing, 809 (2019):677-689,
https://doi.org/10.1007/978-3-319-95588-9_56 . .

TY  - JOUR
AU  - Dragović, Magdalena
AU  - Čičević, Svetlana
AU  - Čučaković, Aleksandar
AU  - Trifunović, Aleksandar
AU  - Gramić, Filip
PY  - 2019
UR  - https://www.polsl.pl/Wydzialy/RB/ZGGI/Biuletyn/Biuletyny/zeszyt_32.html
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1939
AB  - Classical Descriptive Geometry (DG) course used 2D drawings for 3D spatial elements representation. Computer graphic introduced simulation of a 3D geometric environment in contemporary DG teaching. Research aim is the impact of CAD models utilization in correlation to students’ overall academic success. The research was performed on the freshmen students at Civil Engineering Faculty of Belgrade University. DG lecturing combines blackboard drawings, PowerPoint presentations and 3D AutoCAD models. Preparation of practices assumed handouts - AutoCAD solutions, both 2D drawings and 3D models available at the official Faculty's website. Paper based questionnaire was employed after the first examination term. The results show significant contribution to the students' achievement with 3D models assistance introduction in DG teaching/learning process.
PB  - Gliwice: PTGiGI
T2  - The Journal of Polish Society for Geometry and Engineering Graphics
T1  - Positive impact of 3D CAD models employment in descriptive geometry education
EP  - 16
SP  - 11
VL  - 32
DO  - 10.36176/96.PTGiGI.2019.32.2.02
ER  - 

@article{
author = "Dragović, Magdalena and Čičević, Svetlana and Čučaković, Aleksandar and Trifunović, Aleksandar and Gramić, Filip",
year = "2019",
abstract = "Classical Descriptive Geometry (DG) course used 2D drawings for 3D spatial elements representation. Computer graphic introduced simulation of a 3D geometric environment in contemporary DG teaching. Research aim is the impact of CAD models utilization in correlation to students’ overall academic success. The research was performed on the freshmen students at Civil Engineering Faculty of Belgrade University. DG lecturing combines blackboard drawings, PowerPoint presentations and 3D AutoCAD models. Preparation of practices assumed handouts - AutoCAD solutions, both 2D drawings and 3D models available at the official Faculty's website. Paper based questionnaire was employed after the first examination term. The results show significant contribution to the students' achievement with 3D models assistance introduction in DG teaching/learning process.",
publisher = "Gliwice: PTGiGI",
journal = "The Journal of Polish Society for Geometry and Engineering Graphics",
title = "Positive impact of 3D CAD models employment in descriptive geometry education",
pages = "16-11",
volume = "32",
doi = "10.36176/96.PTGiGI.2019.32.2.02"
}

Dragović, M., Čičević, S., Čučaković, A., Trifunović, A.,& Gramić, F.. (2019). Positive impact of 3D CAD models employment in descriptive geometry education. in The Journal of Polish Society for Geometry and Engineering Graphics
Gliwice: PTGiGI., 32, 11-16.
https://doi.org/10.36176/96.PTGiGI.2019.32.2.02

Dragović M, Čičević S, Čučaković A, Trifunović A, Gramić F. Positive impact of 3D CAD models employment in descriptive geometry education. in The Journal of Polish Society for Geometry and Engineering Graphics. 2019;32:11-16.
doi:10.36176/96.PTGiGI.2019.32.2.02 .

Dragović, Magdalena, Čičević, Svetlana, Čučaković, Aleksandar, Trifunović, Aleksandar, Gramić, Filip, "Positive impact of 3D CAD models employment in descriptive geometry education" in The Journal of Polish Society for Geometry and Engineering Graphics, 32 (2019):11-16,
https://doi.org/10.36176/96.PTGiGI.2019.32.2.02 . .

TY  - JOUR
AU  - Dragović, Magdalena
AU  - Čučaković, Aleksandar
AU  - Bogdanović, Jelena
AU  - Pejić, Marko
AU  - Srećković, Milesa
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1000
AB  - In this paper, an analysis of three Serbian medieval Raška churches highlights the significance of the interaction of regular geometric shapes in the composition of their underlying proportional scheme. The complex geometry recognised in the layouts and cross-sections of these monastery churches points to the potential use of a unique triangular proportioning system. This proportional system is derived from the initial geometry of Štambuk's proportional canon, which employs two circles constrained by an equilateral triangle in a specific setting. As the essence of religious medieval structures is often related to their interior, in this paper 3D empty space moulds are created by the parametric modelling of each element of the structure. This research shows how the variation of the two critical points of the church interior, the centres of the dome and of the main apse, along with the key triangles incorporated in the proportional scheme, affect the final 3D structural model.
PB  - Birkhauser Verlag AG
T2  - Nexus Network Journal
T1  - Geometric Proportional Schemas of Serbian Medieval Raška Churches Based on Stambuk's Proportional Canon
EP  - 58
IS  - 1
SP  - 33
VL  - 21
DO  - 10.1007/s00004-018-00426-z
ER  - 

@article{
author = "Dragović, Magdalena and Čučaković, Aleksandar and Bogdanović, Jelena and Pejić, Marko and Srećković, Milesa",
year = "2019",
abstract = "In this paper, an analysis of three Serbian medieval Raška churches highlights the significance of the interaction of regular geometric shapes in the composition of their underlying proportional scheme. The complex geometry recognised in the layouts and cross-sections of these monastery churches points to the potential use of a unique triangular proportioning system. This proportional system is derived from the initial geometry of Štambuk's proportional canon, which employs two circles constrained by an equilateral triangle in a specific setting. As the essence of religious medieval structures is often related to their interior, in this paper 3D empty space moulds are created by the parametric modelling of each element of the structure. This research shows how the variation of the two critical points of the church interior, the centres of the dome and of the main apse, along with the key triangles incorporated in the proportional scheme, affect the final 3D structural model.",
publisher = "Birkhauser Verlag AG",
journal = "Nexus Network Journal",
title = "Geometric Proportional Schemas of Serbian Medieval Raška Churches Based on Stambuk's Proportional Canon",
pages = "58-33",
number = "1",
volume = "21",
doi = "10.1007/s00004-018-00426-z"
}

Dragović, M., Čučaković, A., Bogdanović, J., Pejić, M.,& Srećković, M.. (2019). Geometric Proportional Schemas of Serbian Medieval Raška Churches Based on Stambuk's Proportional Canon. in Nexus Network Journal
Birkhauser Verlag AG., 21(1), 33-58.
https://doi.org/10.1007/s00004-018-00426-z

Dragović M, Čučaković A, Bogdanović J, Pejić M, Srećković M. Geometric Proportional Schemas of Serbian Medieval Raška Churches Based on Stambuk's Proportional Canon. in Nexus Network Journal. 2019;21(1):33-58.
doi:10.1007/s00004-018-00426-z .

Dragović, Magdalena, Čučaković, Aleksandar, Bogdanović, Jelena, Pejić, Marko, Srećković, Milesa, "Geometric Proportional Schemas of Serbian Medieval Raška Churches Based on Stambuk's Proportional Canon" in Nexus Network Journal, 21, no. 1 (2019):33-58,
https://doi.org/10.1007/s00004-018-00426-z . .

TY  - JOUR
AU  - Dragović, Magdalena
AU  - Čučaković, Aleksandar
AU  - Bogdanović, Jelena
AU  - Čičević, Svetlana
AU  - Trifunović, Aleksandar
PY  - 2018
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1876
AB  - Serbian medieval architectural heritage is notable for its sacred architecture including numerous Christian Orthodox churches built at the territory of former Raška state during the period from the 12th to the 14th centuries. Builtin the so-called Raška architectural style, characterized by overlapping features of Romanesque and Byzantine traditions, two monuments - the church of the
Mother of God in Studenica monastery complex and the church of Holy Dormition in Žiča monastery complex, are exquisite sacred structures and cultural monuments of exceptional importance. They are also remarkable due to geometric-proportional regularities of their design. This paper highlights the importance of geometric concept in relation to proportional analysis of these two structures. Here presented study is conducted by two means: first one – by investigating
geometric scheme with equilateral triangles, incorporated into the layout and cross section patterns of each church structure; the second one – by classical proportioning that includes proportional roots, golden section and numeric ratios.
PB  - Springer Verlag
T2  - Advances in Intelligent Systems and Computing
T1  - Triangular proportional scheme and concept of the two Serbian medieval churches
EP  - 689
SP  - 677
VL  - 809
DO  - 10.1007/978-3-319-95588-9_56
ER  - 

@article{
author = "Dragović, Magdalena and Čučaković, Aleksandar and Bogdanović, Jelena and Čičević, Svetlana and Trifunović, Aleksandar",
year = "2018",
abstract = "Serbian medieval architectural heritage is notable for its sacred architecture including numerous Christian Orthodox churches built at the territory of former Raška state during the period from the 12th to the 14th centuries. Builtin the so-called Raška architectural style, characterized by overlapping features of Romanesque and Byzantine traditions, two monuments - the church of the
Mother of God in Studenica monastery complex and the church of Holy Dormition in Žiča monastery complex, are exquisite sacred structures and cultural monuments of exceptional importance. They are also remarkable due to geometric-proportional regularities of their design. This paper highlights the importance of geometric concept in relation to proportional analysis of these two structures. Here presented study is conducted by two means: first one – by investigating
geometric scheme with equilateral triangles, incorporated into the layout and cross section patterns of each church structure; the second one – by classical proportioning that includes proportional roots, golden section and numeric ratios.",
publisher = "Springer Verlag",
journal = "Advances in Intelligent Systems and Computing",
title = "Triangular proportional scheme and concept of the two Serbian medieval churches",
pages = "689-677",
volume = "809",
doi = "10.1007/978-3-319-95588-9_56"
}

Dragović, M., Čučaković, A., Bogdanović, J., Čičević, S.,& Trifunović, A.. (2018). Triangular proportional scheme and concept of the two Serbian medieval churches. in Advances in Intelligent Systems and Computing
Springer Verlag., 809, 677-689.
https://doi.org/10.1007/978-3-319-95588-9_56

Dragović M, Čučaković A, Bogdanović J, Čičević S, Trifunović A. Triangular proportional scheme and concept of the two Serbian medieval churches. in Advances in Intelligent Systems and Computing. 2018;809:677-689.
doi:10.1007/978-3-319-95588-9_56 .

Dragović, Magdalena, Čučaković, Aleksandar, Bogdanović, Jelena, Čičević, Svetlana, Trifunović, Aleksandar, "Triangular proportional scheme and concept of the two Serbian medieval churches" in Advances in Intelligent Systems and Computing, 809 (2018):677-689,
https://doi.org/10.1007/978-3-319-95588-9_56 . .

TY  - CONF
AU  - Kovačević, Aleksander
AU  - Dragović, Magdalena
AU  - Pejić, Marko
AU  - Čučaković, Aleksandar
PY  - 2018
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3091
AB  - U okviru projekta namenjenog potrebama zaštite i očuvanja kulturne baštine, izvršeno je 3D lasersko skeniranje crkvenih objekata u okviru manastirskog kompleksa Studenica. Prikupljeni podaci i rezultati obrade će se koristiti kao baza za buduće rekonstrukcije i naučne analize, kao i u svrhe vizuelizacije ovog kulturnog blaga. Uključivanje i studenata Građevinskog fakulteta iz Beograda u ovaj projekat podiže svest o važnosti zaštite Srpske srednjevekovne kulturne baštine.
PB  - Slovenian Restorers Association
PB  - National Gallery of Slovenia (NG), Department of Conservation and Restoration
C3  - 18th Conservator - restorer's professional meeting, National gallery of Slovenia, Ljubljana, Slovenia
T1  - Potential of 3D laser scanning of church objects of Studenica monastery complex in preservation of cultural heritage
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3091
ER  - 

@conference{
author = "Kovačević, Aleksander and Dragović, Magdalena and Pejić, Marko and Čučaković, Aleksandar",
year = "2018",
abstract = "U okviru projekta namenjenog potrebama zaštite i očuvanja kulturne baštine, izvršeno je 3D lasersko skeniranje crkvenih objekata u okviru manastirskog kompleksa Studenica. Prikupljeni podaci i rezultati obrade će se koristiti kao baza za buduće rekonstrukcije i naučne analize, kao i u svrhe vizuelizacije ovog kulturnog blaga. Uključivanje i studenata Građevinskog fakulteta iz Beograda u ovaj projekat podiže svest o važnosti zaštite Srpske srednjevekovne kulturne baštine.",
publisher = "Slovenian Restorers Association, National Gallery of Slovenia (NG), Department of Conservation and Restoration",
journal = "18th Conservator - restorer's professional meeting, National gallery of Slovenia, Ljubljana, Slovenia",
title = "Potential of 3D laser scanning of church objects of Studenica monastery complex in preservation of cultural heritage",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3091"
}

Kovačević, A., Dragović, M., Pejić, M.,& Čučaković, A.. (2018). Potential of 3D laser scanning of church objects of Studenica monastery complex in preservation of cultural heritage. in 18th Conservator - restorer's professional meeting, National gallery of Slovenia, Ljubljana, Slovenia
Slovenian Restorers Association..
https://hdl.handle.net/21.15107/rcub_grafar_3091

Kovačević A, Dragović M, Pejić M, Čučaković A. Potential of 3D laser scanning of church objects of Studenica monastery complex in preservation of cultural heritage. in 18th Conservator - restorer's professional meeting, National gallery of Slovenia, Ljubljana, Slovenia. 2018;.
https://hdl.handle.net/21.15107/rcub_grafar_3091 .

Kovačević, Aleksander, Dragović, Magdalena, Pejić, Marko, Čučaković, Aleksandar, "Potential of 3D laser scanning of church objects of Studenica monastery complex in preservation of cultural heritage" in 18th Conservator - restorer's professional meeting, National gallery of Slovenia, Ljubljana, Slovenia (2018),
https://hdl.handle.net/21.15107/rcub_grafar_3091 .

TY  - JOUR
AU  - Čučaković, Aleksandar
AU  - Jović, Biljana
AU  - Teofilović, Nataša
AU  - Brajković, Jelena
PY  - 2018
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1927
PB  - Časopis udruženja inženjera građevinarstva, geotehnike, arhitekture i urbanista 'Izgradnja' 11000 Beograd, Kneza Miloša 7a, Srbija
T2  - Izgradnja/Construction
T1  - Implementation of new media for improving the perception and construction of geometrical forms in engineering education
T1  - Implementacija novih medija sa ciljem unapređenja percepcije i konstrukcije geometrijskih formi u inženjerskoj edukaciji
EP  - 575
IS  - 11-12
SP  - 567
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1927
ER  - 

@article{
author = "Čučaković, Aleksandar and Jović, Biljana and Teofilović, Nataša and Brajković, Jelena",
year = "2018",
publisher = "Časopis udruženja inženjera građevinarstva, geotehnike, arhitekture i urbanista 'Izgradnja' 11000 Beograd, Kneza Miloša 7a, Srbija",
journal = "Izgradnja/Construction",
title = "Implementation of new media for improving the perception and construction of geometrical forms in engineering education, Implementacija novih medija sa ciljem unapređenja percepcije i konstrukcije geometrijskih formi u inženjerskoj edukaciji",
pages = "575-567",
number = "11-12",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1927"
}

Čučaković, A., Jović, B., Teofilović, N.,& Brajković, J.. (2018). Implementation of new media for improving the perception and construction of geometrical forms in engineering education. in Izgradnja/Construction
Časopis udruženja inženjera građevinarstva, geotehnike, arhitekture i urbanista 'Izgradnja' 11000 Beograd, Kneza Miloša 7a, Srbija.(11-12), 567-575.
https://hdl.handle.net/21.15107/rcub_grafar_1927

Čučaković A, Jović B, Teofilović N, Brajković J. Implementation of new media for improving the perception and construction of geometrical forms in engineering education. in Izgradnja/Construction. 2018;(11-12):567-575.
https://hdl.handle.net/21.15107/rcub_grafar_1927 .

Čučaković, Aleksandar, Jović, Biljana, Teofilović, Nataša, Brajković, Jelena, "Implementation of new media for improving the perception and construction of geometrical forms in engineering education" in Izgradnja/Construction, no. 11-12 (2018):567-575,
https://hdl.handle.net/21.15107/rcub_grafar_1927 .

TY  - CONF
AU  - Čučaković, Aleksandar A.
AU  - Obratov-Petković, Dragica D.
AU  - Jović, Biljana S.
AU  - Mitić, Anđela D.
PY  - 2018
UR  - http://www.arhns.uns.ac.rs/mongeometrija/conference/proceedings/
UR  - http://www.arhns.uns.ac.rs/mongeometrija/conference/book-of-abstracts/
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1906
AB  - The aim of this research was to apply parametric modeling as appropriate geometric tool in landscape architecture design. Nature model used as inspiration in designing process was flower of the species bell flower (Campanula persicifolia L.), which could be found in Querco-Fagetea and Quercetalia pubescentis forest type. In profession of landscape architecture, this species can be used as a decorative because of its special form of the flower. The applied method of work included three main steps: field research and collection of plant material, generation of a geometric pattern using the geometric methods of Delaunay triangulation and the Voronoi
diagram through the 3D Studio Max software and modeling its‘ biomorphic form that can be combined in different ways giving completely new solutions. Biomorphic form of the flower of selected species was obtained by using different vertexes as parameters in design modeling process. Parametric modeling today is an integral part of every 3D modeling software. This type of modeling involves defining and manipulating specific parameters that defines a created model. Result of this parametric modeling method was conceptual urban design model - bench.
Some of new trends that designing urban spaces seeks is creating sustainable urban environment that strengthens the connection between people and nature in domains of aesthetics. This new and innovative urban element of public space could be the part of the new approach towards sustainable urban design.
PB  - Serbian Society for Geometry and Graphics (SUGIG) Faculty of Technical Sciences, University of Novi Sad
C3  - Proceedings of 6th International Conference on Geometry and Graphics ’’MoNGeometrija 2018’’
T1  - Parametric modeling as geometric tool for designing urban model of biomorphic from inspired by flower of bell flower (Campanula persicifolia L.)
EP  - 124
SP  - 117
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1906
ER  - 

@conference{
author = "Čučaković, Aleksandar A. and Obratov-Petković, Dragica D. and Jović, Biljana S. and Mitić, Anđela D.",
year = "2018",
abstract = "The aim of this research was to apply parametric modeling as appropriate geometric tool in landscape architecture design. Nature model used as inspiration in designing process was flower of the species bell flower (Campanula persicifolia L.), which could be found in Querco-Fagetea and Quercetalia pubescentis forest type. In profession of landscape architecture, this species can be used as a decorative because of its special form of the flower. The applied method of work included three main steps: field research and collection of plant material, generation of a geometric pattern using the geometric methods of Delaunay triangulation and the Voronoi
diagram through the 3D Studio Max software and modeling its‘ biomorphic form that can be combined in different ways giving completely new solutions. Biomorphic form of the flower of selected species was obtained by using different vertexes as parameters in design modeling process. Parametric modeling today is an integral part of every 3D modeling software. This type of modeling involves defining and manipulating specific parameters that defines a created model. Result of this parametric modeling method was conceptual urban design model - bench.
Some of new trends that designing urban spaces seeks is creating sustainable urban environment that strengthens the connection between people and nature in domains of aesthetics. This new and innovative urban element of public space could be the part of the new approach towards sustainable urban design.",
publisher = "Serbian Society for Geometry and Graphics (SUGIG) Faculty of Technical Sciences, University of Novi Sad",
journal = "Proceedings of 6th International Conference on Geometry and Graphics ’’MoNGeometrija 2018’’",
title = "Parametric modeling as geometric tool for designing urban model of biomorphic from inspired by flower of bell flower (Campanula persicifolia L.)",
pages = "124-117",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1906"
}

Čučaković, A. A., Obratov-Petković, D. D., Jović, B. S.,& Mitić, A. D.. (2018). Parametric modeling as geometric tool for designing urban model of biomorphic from inspired by flower of bell flower (Campanula persicifolia L.). in Proceedings of 6th International Conference on Geometry and Graphics ’’MoNGeometrija 2018’’
Serbian Society for Geometry and Graphics (SUGIG) Faculty of Technical Sciences, University of Novi Sad., 117-124.
https://hdl.handle.net/21.15107/rcub_grafar_1906

Čučaković AA, Obratov-Petković DD, Jović BS, Mitić AD. Parametric modeling as geometric tool for designing urban model of biomorphic from inspired by flower of bell flower (Campanula persicifolia L.). in Proceedings of 6th International Conference on Geometry and Graphics ’’MoNGeometrija 2018’’. 2018;:117-124.
https://hdl.handle.net/21.15107/rcub_grafar_1906 .

Čučaković, Aleksandar A., Obratov-Petković, Dragica D., Jović, Biljana S., Mitić, Anđela D., "Parametric modeling as geometric tool for designing urban model of biomorphic from inspired by flower of bell flower (Campanula persicifolia L.)" in Proceedings of 6th International Conference on Geometry and Graphics ’’MoNGeometrija 2018’’ (2018):117-124,
https://hdl.handle.net/21.15107/rcub_grafar_1906 .

TY  - JOUR
AU  - Čučaković, Aleksandar
AU  - Jović, Biljana
AU  - Tripković, Miloš
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/889
AB  - In this paper, we address the challenge of overcoming the problem of developing doubly curved surfaces in product design. Product design uses two kinds of surfaces, developable surfaces and non-developable surfaces, which are also called singly and doubly curved surfaces, respectively. A developable surface has zero Gaussian curvature at all points, while a non-developable surface has non-zero Gaussian curvature at least in some region. Surfaces of many product design object are commonly created as doubly curved shapes to meet requirements of structure and aesthetic. The problem of creating the planar development of 3D surfaces with double curvature in the product design depends on the shape of the surface and the material of the surface cover. Therefore, the method of deriving a pattern is different when external forces are used in order to generate the plane patterns such as paper strips from the case when the plane shape can stretch or deform to fit on the 3D surface. Given a three-dimensional object surface, the first step of the fabrication process is flattening or planar development of this surface into a planar shape so that the manufacturer can not only determine the initial shape of the object but also estimate the strain distribution required to form the shape depending on a material. The paper is analysing and rationalizing doubly curved surface of a given shape by multiple strips of paper glued onto a surface. Results are addressing possibilities of achieving an overall smooth surface and developing a model for the generation of curvature continuous surfaces composed of paper strip surfaces, as well as generating alternative solutions that are in the domain of contemporary product design. The paper illustrates usability and different variations of the proposed design.
AB  - Ovaj rad se bavi mogućnošću prevazilaženja problema razvijanja u ravan dvostruko zakrivljenih površi u procesu dizajniranja proizvoda. U procesu dizajniranja proizvoda koriste se dve vrste površi, razvojne površi i nerazvojne površi, koje se, takođe, nazivaju jednostruko i dvostruko zakrivljenim površima. Gausova krivina razvojnih površi u svakoj tački jednaka je nuli, dok je kod nerazvojnih površi Gausova krivina ratzličita od nule pa u nekim delovima površi Gausova krivina može da bude pozitivna ili negativna. Površine mnogih dizajn-proizvoda su često osmišljene kao dvostruko zakrivljene površi kako bi zadovoljile strukturne i estetske zahteve. Problem razvijanja u ravan dvostruko zakrivljene trodimenzionalne površi u dizajnu proizvoda zavisi od oblika površine i materijala proizvoda. Stoga, metod pronalaženja načina za razvijanje dvostruko zakrivljene površi u ravan se razlikuje, kada se spoljašnja sila koristi u stvaranju površinskog obrasca kao što je prisutno kod površi (materijala) koje je moguće deformisati, od slučaja razvijanja površi kreiranih od papirnih traka. Posmatrajući površinu trodimenzionalnog objekta, prvi korak u procesu proizvodnje je razvijanje dizajniranog proizvoda u ravan kako bi proizvođač mogao da odredi ne samo inicijalni oblik objekta, već i da raspodeli naprezanje potrebno za formiranje oblika zavisno od materijala. U radu se analizira i racionalizuje dvostruko zakrivljena površ datog oblika korišćenjem papirnih traka zalepljenih na površinu dizajn-proizvoda. Rezultati istražuju mogućnosti postizanja približno glatke površine i razvoja modela za generisanje neprekidne krive površi sastavljene od papirnih traka, kao i kreiranja alternativnih rešenja upotrebljivih u domenu savremenog dizajna proizvoda. Rad ilustruje mogućnost korišćenja različitih varijacija predloženog dizajna.
PB  - Univerzitet u Beogradu - Mašinski fakultet, Beograd
T2  - FME Transactions
T1  - Paper strips driven design: Application on doubly curved surfaces
T1  - Dizajniranje papirnim trakama - primena na dvostruko zakrivljenim površima
EP  - 255
IS  - 2
SP  - 251
VL  - 45
DO  - 10.5937/fmet1702251C
ER  - 

@article{
author = "Čučaković, Aleksandar and Jović, Biljana and Tripković, Miloš",
year = "2017",
abstract = "In this paper, we address the challenge of overcoming the problem of developing doubly curved surfaces in product design. Product design uses two kinds of surfaces, developable surfaces and non-developable surfaces, which are also called singly and doubly curved surfaces, respectively. A developable surface has zero Gaussian curvature at all points, while a non-developable surface has non-zero Gaussian curvature at least in some region. Surfaces of many product design object are commonly created as doubly curved shapes to meet requirements of structure and aesthetic. The problem of creating the planar development of 3D surfaces with double curvature in the product design depends on the shape of the surface and the material of the surface cover. Therefore, the method of deriving a pattern is different when external forces are used in order to generate the plane patterns such as paper strips from the case when the plane shape can stretch or deform to fit on the 3D surface. Given a three-dimensional object surface, the first step of the fabrication process is flattening or planar development of this surface into a planar shape so that the manufacturer can not only determine the initial shape of the object but also estimate the strain distribution required to form the shape depending on a material. The paper is analysing and rationalizing doubly curved surface of a given shape by multiple strips of paper glued onto a surface. Results are addressing possibilities of achieving an overall smooth surface and developing a model for the generation of curvature continuous surfaces composed of paper strip surfaces, as well as generating alternative solutions that are in the domain of contemporary product design. The paper illustrates usability and different variations of the proposed design., Ovaj rad se bavi mogućnošću prevazilaženja problema razvijanja u ravan dvostruko zakrivljenih površi u procesu dizajniranja proizvoda. U procesu dizajniranja proizvoda koriste se dve vrste površi, razvojne površi i nerazvojne površi, koje se, takođe, nazivaju jednostruko i dvostruko zakrivljenim površima. Gausova krivina razvojnih površi u svakoj tački jednaka je nuli, dok je kod nerazvojnih površi Gausova krivina ratzličita od nule pa u nekim delovima površi Gausova krivina može da bude pozitivna ili negativna. Površine mnogih dizajn-proizvoda su često osmišljene kao dvostruko zakrivljene površi kako bi zadovoljile strukturne i estetske zahteve. Problem razvijanja u ravan dvostruko zakrivljene trodimenzionalne površi u dizajnu proizvoda zavisi od oblika površine i materijala proizvoda. Stoga, metod pronalaženja načina za razvijanje dvostruko zakrivljene površi u ravan se razlikuje, kada se spoljašnja sila koristi u stvaranju površinskog obrasca kao što je prisutno kod površi (materijala) koje je moguće deformisati, od slučaja razvijanja površi kreiranih od papirnih traka. Posmatrajući površinu trodimenzionalnog objekta, prvi korak u procesu proizvodnje je razvijanje dizajniranog proizvoda u ravan kako bi proizvođač mogao da odredi ne samo inicijalni oblik objekta, već i da raspodeli naprezanje potrebno za formiranje oblika zavisno od materijala. U radu se analizira i racionalizuje dvostruko zakrivljena površ datog oblika korišćenjem papirnih traka zalepljenih na površinu dizajn-proizvoda. Rezultati istražuju mogućnosti postizanja približno glatke površine i razvoja modela za generisanje neprekidne krive površi sastavljene od papirnih traka, kao i kreiranja alternativnih rešenja upotrebljivih u domenu savremenog dizajna proizvoda. Rad ilustruje mogućnost korišćenja različitih varijacija predloženog dizajna.",
publisher = "Univerzitet u Beogradu - Mašinski fakultet, Beograd",
journal = "FME Transactions",
title = "Paper strips driven design: Application on doubly curved surfaces, Dizajniranje papirnim trakama - primena na dvostruko zakrivljenim površima",
pages = "255-251",
number = "2",
volume = "45",
doi = "10.5937/fmet1702251C"
}

Čučaković, A., Jović, B.,& Tripković, M.. (2017). Paper strips driven design: Application on doubly curved surfaces. in FME Transactions
Univerzitet u Beogradu - Mašinski fakultet, Beograd., 45(2), 251-255.
https://doi.org/10.5937/fmet1702251C

Čučaković A, Jović B, Tripković M. Paper strips driven design: Application on doubly curved surfaces. in FME Transactions. 2017;45(2):251-255.
doi:10.5937/fmet1702251C .

Čučaković, Aleksandar, Jović, Biljana, Tripković, Miloš, "Paper strips driven design: Application on doubly curved surfaces" in FME Transactions, 45, no. 2 (2017):251-255,
https://doi.org/10.5937/fmet1702251C . .

TY  - JOUR
AU  - Čučaković, Aleksandar
AU  - Jović, Biljana
AU  - Tomićević-Dubljević, Jelena
AU  - Stojanović, Jelena
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/846
AB  - Contemporary design solutions that move the boundaries of creativity include the use of digital graphics, in order to get innovative graphical interpretation which includes interventions in space using various element, materials and plants, which requires the use of a combination of different software packages .This paper analyzes the combination of the available graphical software for interpretation projects in the context of landscape architecture profession. Model 'Garden' was created in the 'SketchUp' software for the purpose of visual questionnaire and detailed research work in programs for visualization: 'Photoshop' , 'Lumion' and '3DMax'. Combining the two research methods: study graphic interpretation, 'learning by doing' method in software for digital graphic and research public opinion questionnaire ('Single stimulus' method) led to the results which give recommendations for the use of a combination of appropriate software packages.
AB  - Savremena dizajnerska rešenja koja pomeraju granice kreativnosti podrazumevaju upotrebu digitalne grafike, u svrhu dobiijanja inovativnih grafičkih interpretacija. Pejzažna arhitektura je transdisciplinarna struka, koja podrazumeva intervencije u prostoru upotrebom različitih elemenata, materijala i biljaka, što zahteva upotrebu i kombinaciju različitih softverskih paketa. Ovaj rad se bavi istraživanjem kombinacija dostupnih grafičkih softvera za interpretaciju projekata u okviru pejzažnoarhitektonske struke. Model 'Vrt' je izrađen u 'SketchUp' softveru za potrebe izrade vizuelnog upitnika kao i detaljnijeg istraživanja rada u programima za vizuelizaciju: 'Photoshop', 'Lumion' i '3DMax'. Kombinacijom dve istraživačke metode: istraživanjem grafičke interpretacije, učenjem kroz rad ('Learning by doing') u softverima za digitalnu grafiku i istraživanjem mišljenja javnog mnjenja upitnikom ('Single stimulans' metodom) došlo se do rezultata koji daju preporuke za upotrebu kombinacije adekvatnih softverskih paketa.
PB  - Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd
T2  - Izgradnja
T1  - Design solutions interpretation using digital graphics
T1  - Interpretacija projektantskih rešenja primenom digitalne grafike
EP  - 95
IS  - 3-4
SP  - 87
UR  - https://hdl.handle.net/21.15107/rcub_grafar_846
ER  - 

@article{
author = "Čučaković, Aleksandar and Jović, Biljana and Tomićević-Dubljević, Jelena and Stojanović, Jelena",
year = "2017",
abstract = "Contemporary design solutions that move the boundaries of creativity include the use of digital graphics, in order to get innovative graphical interpretation which includes interventions in space using various element, materials and plants, which requires the use of a combination of different software packages .This paper analyzes the combination of the available graphical software for interpretation projects in the context of landscape architecture profession. Model 'Garden' was created in the 'SketchUp' software for the purpose of visual questionnaire and detailed research work in programs for visualization: 'Photoshop' , 'Lumion' and '3DMax'. Combining the two research methods: study graphic interpretation, 'learning by doing' method in software for digital graphic and research public opinion questionnaire ('Single stimulus' method) led to the results which give recommendations for the use of a combination of appropriate software packages., Savremena dizajnerska rešenja koja pomeraju granice kreativnosti podrazumevaju upotrebu digitalne grafike, u svrhu dobiijanja inovativnih grafičkih interpretacija. Pejzažna arhitektura je transdisciplinarna struka, koja podrazumeva intervencije u prostoru upotrebom različitih elemenata, materijala i biljaka, što zahteva upotrebu i kombinaciju različitih softverskih paketa. Ovaj rad se bavi istraživanjem kombinacija dostupnih grafičkih softvera za interpretaciju projekata u okviru pejzažnoarhitektonske struke. Model 'Vrt' je izrađen u 'SketchUp' softveru za potrebe izrade vizuelnog upitnika kao i detaljnijeg istraživanja rada u programima za vizuelizaciju: 'Photoshop', 'Lumion' i '3DMax'. Kombinacijom dve istraživačke metode: istraživanjem grafičke interpretacije, učenjem kroz rad ('Learning by doing') u softverima za digitalnu grafiku i istraživanjem mišljenja javnog mnjenja upitnikom ('Single stimulans' metodom) došlo se do rezultata koji daju preporuke za upotrebu kombinacije adekvatnih softverskih paketa.",
publisher = "Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd",
journal = "Izgradnja",
title = "Design solutions interpretation using digital graphics, Interpretacija projektantskih rešenja primenom digitalne grafike",
pages = "95-87",
number = "3-4",
url = "https://hdl.handle.net/21.15107/rcub_grafar_846"
}

Čučaković, A., Jović, B., Tomićević-Dubljević, J.,& Stojanović, J.. (2017). Design solutions interpretation using digital graphics. in Izgradnja
Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd.(3-4), 87-95.
https://hdl.handle.net/21.15107/rcub_grafar_846

Čučaković A, Jović B, Tomićević-Dubljević J, Stojanović J. Design solutions interpretation using digital graphics. in Izgradnja. 2017;(3-4):87-95.
https://hdl.handle.net/21.15107/rcub_grafar_846 .

Čučaković, Aleksandar, Jović, Biljana, Tomićević-Dubljević, Jelena, Stojanović, Jelena, "Design solutions interpretation using digital graphics" in Izgradnja, no. 3-4 (2017):87-95,
https://hdl.handle.net/21.15107/rcub_grafar_846 .

TY  - JOUR
AU  - Čučaković, Aleksandar
AU  - Jović, Biljana
PY  - 2017
UR  - http://saj.rs/wp-content/uploads/2018/11/SAJ-2017-01-A-Cucakovic-B-Jovic.pdf
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1907
AB  - New media technologies and interdisciplinary approach is used and represented in this paper. The aspects and research results are shown through the production methodology, multimedia learning tool and the final application in geometrical education. The method we used here is obtained from overlapping of multiple disciplines such as architecture, structural systems, descriptive geometry and computer animation. Geometrical construction is presented on visual dynamic educational device for students of technical and applied arts faculties. Multimedia DVD is named: “Geometrical education by using 3D animation principles and tools”. Geometrical education enables development of the understanding and perception of space as well as the ability of spatial representation. Drawing is not the goal of geometrical education. Our aim is to simplify the perception of geometrical construction, and by the method is proposed in this paper it is quite possible.
PB  - University of Belgrade, Faculty of Architecture, with The Centre for Ethics, Law and Applied Philosophy
T2  - Serbian Architectural Journal (SAJ)
T1  - The Advantages of Using Digital 3D Animation in Geometrical Education
EP  - 82
IS  - 1
SP  - 65
VL  - 9
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1907
ER  - 

@article{
author = "Čučaković, Aleksandar and Jović, Biljana",
year = "2017",
abstract = "New media technologies and interdisciplinary approach is used and represented in this paper. The aspects and research results are shown through the production methodology, multimedia learning tool and the final application in geometrical education. The method we used here is obtained from overlapping of multiple disciplines such as architecture, structural systems, descriptive geometry and computer animation. Geometrical construction is presented on visual dynamic educational device for students of technical and applied arts faculties. Multimedia DVD is named: “Geometrical education by using 3D animation principles and tools”. Geometrical education enables development of the understanding and perception of space as well as the ability of spatial representation. Drawing is not the goal of geometrical education. Our aim is to simplify the perception of geometrical construction, and by the method is proposed in this paper it is quite possible.",
publisher = "University of Belgrade, Faculty of Architecture, with The Centre for Ethics, Law and Applied Philosophy",
journal = "Serbian Architectural Journal (SAJ)",
title = "The Advantages of Using Digital 3D Animation in Geometrical Education",
pages = "82-65",
number = "1",
volume = "9",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1907"
}

Čučaković, A.,& Jović, B.. (2017). The Advantages of Using Digital 3D Animation in Geometrical Education. in Serbian Architectural Journal (SAJ)
University of Belgrade, Faculty of Architecture, with The Centre for Ethics, Law and Applied Philosophy., 9(1), 65-82.
https://hdl.handle.net/21.15107/rcub_grafar_1907

Čučaković A, Jović B. The Advantages of Using Digital 3D Animation in Geometrical Education. in Serbian Architectural Journal (SAJ). 2017;9(1):65-82.
https://hdl.handle.net/21.15107/rcub_grafar_1907 .

Čučaković, Aleksandar, Jović, Biljana, "The Advantages of Using Digital 3D Animation in Geometrical Education" in Serbian Architectural Journal (SAJ), 9, no. 1 (2017):65-82,
https://hdl.handle.net/21.15107/rcub_grafar_1907 .

TY  - JOUR
AU  - Čučaković, Aleksandar
AU  - Jović, Biljana
AU  - Komnenov, M.
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1063
T2  - Periodica Polytechnica Architecture
T1  - Biomimetic Geometry Approach to Generative Design
EP  - 74
IS  - 2
SP  - 70
VL  - 47
DO  - 10.3311/PPar.10082
ER  - 

@article{
author = "Čučaković, Aleksandar and Jović, Biljana and Komnenov, M.",
year = "2016",
journal = "Periodica Polytechnica Architecture",
title = "Biomimetic Geometry Approach to Generative Design",
pages = "74-70",
number = "2",
volume = "47",
doi = "10.3311/PPar.10082"
}

Čučaković, A., Jović, B.,& Komnenov, M.. (2016). Biomimetic Geometry Approach to Generative Design. in Periodica Polytechnica Architecture, 47(2), 70-74.
https://doi.org/10.3311/PPar.10082

Čučaković A, Jović B, Komnenov M. Biomimetic Geometry Approach to Generative Design. in Periodica Polytechnica Architecture. 2016;47(2):70-74.
doi:10.3311/PPar.10082 .

Čučaković, Aleksandar, Jović, Biljana, Komnenov, M., "Biomimetic Geometry Approach to Generative Design" in Periodica Polytechnica Architecture, 47, no. 2 (2016):70-74,
https://doi.org/10.3311/PPar.10082 . .

TY  - JOUR
AU  - Čučaković, Aleksandar
AU  - Paunović, Marijana
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/806
AB  - The goal of this paper is to demonstrate the various models of perspective anamorphosis used in the visual arts, which are also applicable to stage design. Through comparative analysis, borderline conditions emerge through which certain perspective models assume traits of anamorphosis, as well as conditions for their use in stage design. The idea is to provide practical instructions which are usable on the stage. This effort saw the use of constructive perspective methods, projective and descriptive geometry, while retaining a pictorial and an optical-physiological perspective. The examples of stage design that are shown in the paper are mostly from the National Theatre in Belgrade, the oldest theatre in Belgrade, and an institution that collaborates with the Faculty of Applied Arts. The perspective models of anamorphosis, analysed here, were chosen according to the unique features of the stage and its elements, which include: a perspective image projected on multiple planes, relief perspective as the anamorphosis of space, and the cylindrical perspective.
PB  - Birkhauser Verlag AG
T2  - Nexus Network Journal
T1  - Perspective in Stage Design: An Application of Principles of Anamorphosis in Spatial Visualisation
EP  - 758
IS  - 3
SP  - 743
VL  - 18
DO  - 10.1007/s00004-016-0297-5
ER  - 

@article{
author = "Čučaković, Aleksandar and Paunović, Marijana",
year = "2016",
abstract = "The goal of this paper is to demonstrate the various models of perspective anamorphosis used in the visual arts, which are also applicable to stage design. Through comparative analysis, borderline conditions emerge through which certain perspective models assume traits of anamorphosis, as well as conditions for their use in stage design. The idea is to provide practical instructions which are usable on the stage. This effort saw the use of constructive perspective methods, projective and descriptive geometry, while retaining a pictorial and an optical-physiological perspective. The examples of stage design that are shown in the paper are mostly from the National Theatre in Belgrade, the oldest theatre in Belgrade, and an institution that collaborates with the Faculty of Applied Arts. The perspective models of anamorphosis, analysed here, were chosen according to the unique features of the stage and its elements, which include: a perspective image projected on multiple planes, relief perspective as the anamorphosis of space, and the cylindrical perspective.",
publisher = "Birkhauser Verlag AG",
journal = "Nexus Network Journal",
title = "Perspective in Stage Design: An Application of Principles of Anamorphosis in Spatial Visualisation",
pages = "758-743",
number = "3",
volume = "18",
doi = "10.1007/s00004-016-0297-5"
}

Čučaković, A.,& Paunović, M.. (2016). Perspective in Stage Design: An Application of Principles of Anamorphosis in Spatial Visualisation. in Nexus Network Journal
Birkhauser Verlag AG., 18(3), 743-758.
https://doi.org/10.1007/s00004-016-0297-5

Čučaković A, Paunović M. Perspective in Stage Design: An Application of Principles of Anamorphosis in Spatial Visualisation. in Nexus Network Journal. 2016;18(3):743-758.
doi:10.1007/s00004-016-0297-5 .

Čučaković, Aleksandar, Paunović, Marijana, "Perspective in Stage Design: An Application of Principles of Anamorphosis in Spatial Visualisation" in Nexus Network Journal, 18, no. 3 (2016):743-758,
https://doi.org/10.1007/s00004-016-0297-5 . .

TY  - JOUR
AU  - Grbić, Mihailo
AU  - Čučaković, Aleksandar
AU  - Jović, Biljana
AU  - Tripković, Milos
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/795
AB  - This paper analyzes the phenomenon of spatial functionalities for garden cultural heritage design and the relationships between the sizes of the sections and elements of the baroque garden of Vaux-leVicomte and the specific visual phenomenon, anamorphosis abscondita, that was used in the design of this garden. The interpretation of the optical illusions in the garden of Vaux-le-Vicomte was achieved by using geometrical analysis of the rules of linear perspective. The anamorphosis abscondita was examined through the viewpoints of the garden using the ground plan and longitudinal section of the garden, photographs and a virtual 3D model. The visual impression of the phenomenon anamorphosis abscondita formed in the eye of the observer, in relation to the reality of the garden, is confirmed through the geometrical analysis. Anamorphosis abscondita introduces a compulsory perceptual path to the observer of the garden. This pattern of deformation in certain parts of the garden creates in the viewer's eye a sense of infinity in space. The 3D scene of the garden is characterised by a large amount of spatial and visual information, which is located at different distances from the observer. The quality of visual information in such a space leads to a change of the object of interest. Perspectives and optical illusions influence the design of the garden at Vaux-le-Vicomte, and the terraces and axes of symmetry are important tools in its spatial organization. The axis of symmetry contributes to the clarity, depth and order of composition. The parameters that influence the phenomenon of anamorphosis (distortion): the height of the eye point and the distance both affect the visual illusion of the change in size (depth of scene).
PB  - Elsevier Masson SAS
T2  - Journal of Cultural Heritage
T1  - Garden cultural heritage spatial functionalities: The case of anamorphosis abscondita at Vaux-le-Vicomte
EP  - 369
SP  - 366
VL  - 18
DO  - 10.1016/j.culher.2015.08.007
ER  - 

@article{
author = "Grbić, Mihailo and Čučaković, Aleksandar and Jović, Biljana and Tripković, Milos",
year = "2016",
abstract = "This paper analyzes the phenomenon of spatial functionalities for garden cultural heritage design and the relationships between the sizes of the sections and elements of the baroque garden of Vaux-leVicomte and the specific visual phenomenon, anamorphosis abscondita, that was used in the design of this garden. The interpretation of the optical illusions in the garden of Vaux-le-Vicomte was achieved by using geometrical analysis of the rules of linear perspective. The anamorphosis abscondita was examined through the viewpoints of the garden using the ground plan and longitudinal section of the garden, photographs and a virtual 3D model. The visual impression of the phenomenon anamorphosis abscondita formed in the eye of the observer, in relation to the reality of the garden, is confirmed through the geometrical analysis. Anamorphosis abscondita introduces a compulsory perceptual path to the observer of the garden. This pattern of deformation in certain parts of the garden creates in the viewer's eye a sense of infinity in space. The 3D scene of the garden is characterised by a large amount of spatial and visual information, which is located at different distances from the observer. The quality of visual information in such a space leads to a change of the object of interest. Perspectives and optical illusions influence the design of the garden at Vaux-le-Vicomte, and the terraces and axes of symmetry are important tools in its spatial organization. The axis of symmetry contributes to the clarity, depth and order of composition. The parameters that influence the phenomenon of anamorphosis (distortion): the height of the eye point and the distance both affect the visual illusion of the change in size (depth of scene).",
publisher = "Elsevier Masson SAS",
journal = "Journal of Cultural Heritage",
title = "Garden cultural heritage spatial functionalities: The case of anamorphosis abscondita at Vaux-le-Vicomte",
pages = "369-366",
volume = "18",
doi = "10.1016/j.culher.2015.08.007"
}

Grbić, M., Čučaković, A., Jović, B.,& Tripković, M.. (2016). Garden cultural heritage spatial functionalities: The case of anamorphosis abscondita at Vaux-le-Vicomte. in Journal of Cultural Heritage
Elsevier Masson SAS., 18, 366-369.
https://doi.org/10.1016/j.culher.2015.08.007

Grbić M, Čučaković A, Jović B, Tripković M. Garden cultural heritage spatial functionalities: The case of anamorphosis abscondita at Vaux-le-Vicomte. in Journal of Cultural Heritage. 2016;18:366-369.
doi:10.1016/j.culher.2015.08.007 .

Grbić, Mihailo, Čučaković, Aleksandar, Jović, Biljana, Tripković, Milos, "Garden cultural heritage spatial functionalities: The case of anamorphosis abscondita at Vaux-le-Vicomte" in Journal of Cultural Heritage, 18 (2016):366-369,
https://doi.org/10.1016/j.culher.2015.08.007 . .