TY  - JOUR
AU  - Bogdanović, Jelena
AU  - Forehand, Leslie
AU  - Dragović, Magdalena
AU  - Danilović, Dušan
AU  - Yeager, Travis
AU  - Chatterjee, Debanjana
AU  - Gasper, Jacob
AU  - Pejić, Marko
AU  - Čučaković, Aleksandar
AU  - Martinenko, Anastasija
AU  - Mandal, Suvadip
AU  - Kerton, Charles
PY  - 2023
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3092
AB  - This paper presents an analytical model to analyze illumination of the church interior during the evening service. The focus is on the artificial light achieved using church lighting fixtures known as polycandela, which are suspended directly below the church dome. The analysis focuses on the main church (katholikon) at Studenica Monastery, built in Serbia sometime before 1208/9. By using a computer-generated model of the Studenica church derived from high-precision laser scanning and close-range photogrammetry rather than from more conventional architectural drawings of the church, we recreate the actual three-dimensional space of the church interior. Our model allows for a quantitative calculation and analysis of the amount of artificial light that could have been achieved inside medieval churches. We apply this model for the church at Studenica to better understand the lighting of medieval structures as well as more abstract and diagrammatic qualities of the sacred space of the church manifested by light conditions.
T2  - Virtual workshop - Artificial Light in Medieval Churches between Byzantium and the West
T1  - Modeling the illumination of the church at Studenica monastery during evening services
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3092
ER  - 

@article{
author = "Bogdanović, Jelena and Forehand, Leslie and Dragović, Magdalena and Danilović, Dušan and Yeager, Travis and Chatterjee, Debanjana and Gasper, Jacob and Pejić, Marko and Čučaković, Aleksandar and Martinenko, Anastasija and Mandal, Suvadip and Kerton, Charles",
year = "2023",
abstract = "This paper presents an analytical model to analyze illumination of the church interior during the evening service. The focus is on the artificial light achieved using church lighting fixtures known as polycandela, which are suspended directly below the church dome. The analysis focuses on the main church (katholikon) at Studenica Monastery, built in Serbia sometime before 1208/9. By using a computer-generated model of the Studenica church derived from high-precision laser scanning and close-range photogrammetry rather than from more conventional architectural drawings of the church, we recreate the actual three-dimensional space of the church interior. Our model allows for a quantitative calculation and analysis of the amount of artificial light that could have been achieved inside medieval churches. We apply this model for the church at Studenica to better understand the lighting of medieval structures as well as more abstract and diagrammatic qualities of the sacred space of the church manifested by light conditions.",
journal = "Virtual workshop - Artificial Light in Medieval Churches between Byzantium and the West",
title = "Modeling the illumination of the church at Studenica monastery during evening services",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3092"
}

Bogdanović, J., Forehand, L., Dragović, M., Danilović, D., Yeager, T., Chatterjee, D., Gasper, J., Pejić, M., Čučaković, A., Martinenko, A., Mandal, S.,& Kerton, C.. (2023). Modeling the illumination of the church at Studenica monastery during evening services. in Virtual workshop - Artificial Light in Medieval Churches between Byzantium and the West.
https://hdl.handle.net/21.15107/rcub_grafar_3092

Bogdanović J, Forehand L, Dragović M, Danilović D, Yeager T, Chatterjee D, Gasper J, Pejić M, Čučaković A, Martinenko A, Mandal S, Kerton C. Modeling the illumination of the church at Studenica monastery during evening services. in Virtual workshop - Artificial Light in Medieval Churches between Byzantium and the West. 2023;.
https://hdl.handle.net/21.15107/rcub_grafar_3092 .

Bogdanović, Jelena, Forehand, Leslie, Dragović, Magdalena, Danilović, Dušan, Yeager, Travis, Chatterjee, Debanjana, Gasper, Jacob, Pejić, Marko, Čučaković, Aleksandar, Martinenko, Anastasija, Mandal, Suvadip, Kerton, Charles, "Modeling the illumination of the church at Studenica monastery during evening services" in Virtual workshop - Artificial Light in Medieval Churches between Byzantium and the West (2023),
https://hdl.handle.net/21.15107/rcub_grafar_3092 .

TY  - CONF
AU  - Dragović, Magdalena
AU  - Bogdanović, Jelena
AU  - Isailović, Dušan
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2940
AB  - Studenica Monastery is the Serbian medieval monument of highest architectural and cultural value, also enlisted on the UNESCO World Heritage Site. This paper presents the role of architectural knowledge and sophisticated measuring tools and technologies supporting Heritage Building Information Modeling (HBIM) as innovative, sustainable, and non-invasive method of historic conservation and maintenance of the katholikon (major church) of the Studenica Monastery. This pilot model has a potential to be used for other cultural heritage sites in the region, often in dire need for continual and proper maintenance.
PB  - University of Belgrade - Faculty of Architecture
C3  - Knjiga apstrakata : znanje, komunikacija, prezentacija : 50 godina /1972-2022/ Konvencije o zaštiti svetske kulturne i prirodne baštine = Book of abstracts : knowledge, kommunication, presentation : 50 years /1972–2022/ of the Convention on the protection of world cultural and natural heritage / Međunarodna naučna konferencija Obrazovni programi - budućnost svetske kulturne i prirodne baštine, 8-9. decembar 2022. = International scientific conference Educational programs – the future of world cultural and natural heritage, december 8-9, 2022
T1  - Heritage Building Information Modeling (HBIM) of the Katholikon of the Studenica Monastery
T1  - Digitalno modelovanje objekata kulturnog nasleđa - HBIM na primeru manastira Studenice
EP  - 62
SP  - 60
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2940
ER  - 

@conference{
author = "Dragović, Magdalena and Bogdanović, Jelena and Isailović, Dušan",
year = "2022",
abstract = "Studenica Monastery is the Serbian medieval monument of highest architectural and cultural value, also enlisted on the UNESCO World Heritage Site. This paper presents the role of architectural knowledge and sophisticated measuring tools and technologies supporting Heritage Building Information Modeling (HBIM) as innovative, sustainable, and non-invasive method of historic conservation and maintenance of the katholikon (major church) of the Studenica Monastery. This pilot model has a potential to be used for other cultural heritage sites in the region, often in dire need for continual and proper maintenance.",
publisher = "University of Belgrade - Faculty of Architecture",
journal = "Knjiga apstrakata : znanje, komunikacija, prezentacija : 50 godina /1972-2022/ Konvencije o zaštiti svetske kulturne i prirodne baštine = Book of abstracts : knowledge, kommunication, presentation : 50 years /1972–2022/ of the Convention on the protection of world cultural and natural heritage / Međunarodna naučna konferencija Obrazovni programi - budućnost svetske kulturne i prirodne baštine, 8-9. decembar 2022. = International scientific conference Educational programs – the future of world cultural and natural heritage, december 8-9, 2022",
title = "Heritage Building Information Modeling (HBIM) of the Katholikon of the Studenica Monastery, Digitalno modelovanje objekata kulturnog nasleđa - HBIM na primeru manastira Studenice",
pages = "62-60",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2940"
}

Dragović, M., Bogdanović, J.,& Isailović, D.. (2022). Heritage Building Information Modeling (HBIM) of the Katholikon of the Studenica Monastery. in Knjiga apstrakata : znanje, komunikacija, prezentacija : 50 godina /1972-2022/ Konvencije o zaštiti svetske kulturne i prirodne baštine = Book of abstracts : knowledge, kommunication, presentation : 50 years /1972–2022/ of the Convention on the protection of world cultural and natural heritage / Međunarodna naučna konferencija Obrazovni programi - budućnost svetske kulturne i prirodne baštine, 8-9. decembar 2022. = International scientific conference Educational programs – the future of world cultural and natural heritage, december 8-9, 2022
University of Belgrade - Faculty of Architecture., 60-62.
https://hdl.handle.net/21.15107/rcub_grafar_2940

Dragović M, Bogdanović J, Isailović D. Heritage Building Information Modeling (HBIM) of the Katholikon of the Studenica Monastery. in Knjiga apstrakata : znanje, komunikacija, prezentacija : 50 godina /1972-2022/ Konvencije o zaštiti svetske kulturne i prirodne baštine = Book of abstracts : knowledge, kommunication, presentation : 50 years /1972–2022/ of the Convention on the protection of world cultural and natural heritage / Međunarodna naučna konferencija Obrazovni programi - budućnost svetske kulturne i prirodne baštine, 8-9. decembar 2022. = International scientific conference Educational programs – the future of world cultural and natural heritage, december 8-9, 2022. 2022;:60-62.
https://hdl.handle.net/21.15107/rcub_grafar_2940 .

Dragović, Magdalena, Bogdanović, Jelena, Isailović, Dušan, "Heritage Building Information Modeling (HBIM) of the Katholikon of the Studenica Monastery" in Knjiga apstrakata : znanje, komunikacija, prezentacija : 50 godina /1972-2022/ Konvencije o zaštiti svetske kulturne i prirodne baštine = Book of abstracts : knowledge, kommunication, presentation : 50 years /1972–2022/ of the Convention on the protection of world cultural and natural heritage / Međunarodna naučna konferencija Obrazovni programi - budućnost svetske kulturne i prirodne baštine, 8-9. decembar 2022. = International scientific conference Educational programs – the future of world cultural and natural heritage, december 8-9, 2022 (2022):60-62,
https://hdl.handle.net/21.15107/rcub_grafar_2940 .

TY  - CONF
AU  - Dragović, Magdalena
AU  - Čučaković, Aleksandar
AU  - Savvides, Demetrius
AU  - Bogdanović, Jelena
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2926
AB  - This paper presents a combined application of the
two geometric concepts to analyze architectural layouts of selected medieval churches in the Balkans. One concept is a geometric construction, known as Štambuk’s canon, which is here
supplemented by triangulation. Its application has been already
atested to a wide range of late antique and medieval churches in the Balkans. The second concept is the Octagon model,
which is based on the recovered geometric drawings incised in
stone found at the Octagon monument, originally part of the
late Roman Galerius Palace in Thessaloniki. Both these concepts rely on geometric shapes and specifc type of grid, derived
from the combination of basic shapes of circles with triangles
and squares. In the frst approach, the two types of triangular
sequences, i.e. geometric paterns, are applied on the twelve
layouts of the churches. The analysis shows that these paterns
correspond with the four types of layouts, previously grouped
by Nenadović. In the second approach, based on computer
modeling and fting the four churches’ layouts into the complex Octagon model, the maximal deviation is +/−3 %. Although
these are two diverse starting setings for geometric analysis,
this study indicates a strong correlation between them. Namely,
Štambuk’s construction and Octagon model have been found
to have several elements in common, such as the center of the
apse, the edge of Štambuk’s holy triangle.
This investigation additionally points to the possibility that the
monuments from a wider Balkans region could have been designed by using similar basic geometric principles.
PB  - Универзитет уметности у Београду Факултет примењених уметности
PB  - Faculty of Applied Arts, Belgrade
C3  - Thematic proceedings Art and Science applied: Experience and Vision, 2022
T1  - The two geometric concepts applied on the architectural design of medieval churches in the Balkans
EP  - 392
SP  - 372
DO  - 10.18485/smartart.2022.2.ch20
ER  - 

@conference{
author = "Dragović, Magdalena and Čučaković, Aleksandar and Savvides, Demetrius and Bogdanović, Jelena",
year = "2022",
abstract = "This paper presents a combined application of the
two geometric concepts to analyze architectural layouts of selected medieval churches in the Balkans. One concept is a geometric construction, known as Štambuk’s canon, which is here
supplemented by triangulation. Its application has been already
atested to a wide range of late antique and medieval churches in the Balkans. The second concept is the Octagon model,
which is based on the recovered geometric drawings incised in
stone found at the Octagon monument, originally part of the
late Roman Galerius Palace in Thessaloniki. Both these concepts rely on geometric shapes and specifc type of grid, derived
from the combination of basic shapes of circles with triangles
and squares. In the frst approach, the two types of triangular
sequences, i.e. geometric paterns, are applied on the twelve
layouts of the churches. The analysis shows that these paterns
correspond with the four types of layouts, previously grouped
by Nenadović. In the second approach, based on computer
modeling and fting the four churches’ layouts into the complex Octagon model, the maximal deviation is +/−3 %. Although
these are two diverse starting setings for geometric analysis,
this study indicates a strong correlation between them. Namely,
Štambuk’s construction and Octagon model have been found
to have several elements in common, such as the center of the
apse, the edge of Štambuk’s holy triangle.
This investigation additionally points to the possibility that the
monuments from a wider Balkans region could have been designed by using similar basic geometric principles.",
publisher = "Универзитет уметности у Београду Факултет примењених уметности, Faculty of Applied Arts, Belgrade",
journal = "Thematic proceedings Art and Science applied: Experience and Vision, 2022",
title = "The two geometric concepts applied on the architectural design of medieval churches in the Balkans",
pages = "392-372",
doi = "10.18485/smartart.2022.2.ch20"
}

Dragović, M., Čučaković, A., Savvides, D.,& Bogdanović, J.. (2022). The two geometric concepts applied on the architectural design of medieval churches in the Balkans. in Thematic proceedings Art and Science applied: Experience and Vision, 2022
Универзитет уметности у Београду Факултет примењених уметности., 372-392.
https://doi.org/10.18485/smartart.2022.2.ch20

Dragović M, Čučaković A, Savvides D, Bogdanović J. The two geometric concepts applied on the architectural design of medieval churches in the Balkans. in Thematic proceedings Art and Science applied: Experience and Vision, 2022. 2022;:372-392.
doi:10.18485/smartart.2022.2.ch20 .

Dragović, Magdalena, Čučaković, Aleksandar, Savvides, Demetrius, Bogdanović, Jelena, "The two geometric concepts applied on the architectural design of medieval churches in the Balkans" in Thematic proceedings Art and Science applied: Experience and Vision, 2022 (2022):372-392,
https://doi.org/10.18485/smartart.2022.2.ch20 . .

TY  - CHAP
AU  - Yeager, Travis
AU  - Bogdanović, Jelena
AU  - Forehand, Leslie
AU  - Danilović, Dušan
AU  - Dragović, Magdalena
AU  - Chatterjee, Debanjana
AU  - Gasper, Jacob
AU  - Pejić, Marko
AU  - Čučaković, Aleksandar
AU  - Martinenko, Anastasija
AU  - Kerton, Charles
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2925
AB  - The Church of the Mother of God at Studenica Monastery in Serbia was estab-
lished by the medieval Serbian ruler and founder of his own dynasty, Stefan
Nemanja (r. 1169–1196).1 The church is finely proportioned. Sophisticated
treatment of wall surfaces additionally enriches the high-quality construc-
tion in stone (figure 10.1). Nicely carved architectural sculpture enlivens the
church exterior while extensive fresco decoration adorns the interior walls.
The building is a single-nave structure, with a dominant square-based domical
core and a tripartite sanctuary, typical for Byzantine-rite churches (figure 10.2).
Architecturally and structurally speaking, this design is essentially a condensed
form of a typical Middle Byzantine church, known as an atrophied Greek-cross
church.2 In such churches, as in Studenica church, the lateral arms of the cross
are reduced to narrow barrel vaults. Thus, these vaults effectively become mas-
sive arches that project from structural piers; the same piers that carry trans-
versal arches, which support the domical core of the structure.
PB  - BRILL
T2  - Natural Light in Medieval Churches
T1  - Modeling the Sunlight Illumination of the Church at Studenica Monastery
EP  - 277
SP  - 253
VL  - 88
DO  - 10.1163/9789004527980_012
ER  - 

@inbook{
author = "Yeager, Travis and Bogdanović, Jelena and Forehand, Leslie and Danilović, Dušan and Dragović, Magdalena and Chatterjee, Debanjana and Gasper, Jacob and Pejić, Marko and Čučaković, Aleksandar and Martinenko, Anastasija and Kerton, Charles",
year = "2022",
abstract = "The Church of the Mother of God at Studenica Monastery in Serbia was estab-
lished by the medieval Serbian ruler and founder of his own dynasty, Stefan
Nemanja (r. 1169–1196).1 The church is finely proportioned. Sophisticated
treatment of wall surfaces additionally enriches the high-quality construc-
tion in stone (figure 10.1). Nicely carved architectural sculpture enlivens the
church exterior while extensive fresco decoration adorns the interior walls.
The building is a single-nave structure, with a dominant square-based domical
core and a tripartite sanctuary, typical for Byzantine-rite churches (figure 10.2).
Architecturally and structurally speaking, this design is essentially a condensed
form of a typical Middle Byzantine church, known as an atrophied Greek-cross
church.2 In such churches, as in Studenica church, the lateral arms of the cross
are reduced to narrow barrel vaults. Thus, these vaults effectively become mas-
sive arches that project from structural piers; the same piers that carry trans-
versal arches, which support the domical core of the structure.",
publisher = "BRILL",
journal = "Natural Light in Medieval Churches",
booktitle = "Modeling the Sunlight Illumination of the Church at Studenica Monastery",
pages = "277-253",
volume = "88",
doi = "10.1163/9789004527980_012"
}

Yeager, T., Bogdanović, J., Forehand, L., Danilović, D., Dragović, M., Chatterjee, D., Gasper, J., Pejić, M., Čučaković, A., Martinenko, A.,& Kerton, C.. (2022). Modeling the Sunlight Illumination of the Church at Studenica Monastery. in Natural Light in Medieval Churches
BRILL., 88, 253-277.
https://doi.org/10.1163/9789004527980_012

Yeager T, Bogdanović J, Forehand L, Danilović D, Dragović M, Chatterjee D, Gasper J, Pejić M, Čučaković A, Martinenko A, Kerton C. Modeling the Sunlight Illumination of the Church at Studenica Monastery. in Natural Light in Medieval Churches. 2022;88:253-277.
doi:10.1163/9789004527980_012 .

Yeager, Travis, Bogdanović, Jelena, Forehand, Leslie, Danilović, Dušan, Dragović, Magdalena, Chatterjee, Debanjana, Gasper, Jacob, Pejić, Marko, Čučaković, Aleksandar, Martinenko, Anastasija, Kerton, Charles, "Modeling the Sunlight Illumination of the Church at Studenica Monastery" in Natural Light in Medieval Churches, 88 (2022):253-277,
https://doi.org/10.1163/9789004527980_012 . .

TY  - CONF
AU  - Dragović, Magdalena
AU  - Čučaković, Aleksandar
AU  - Čičević, Svetlana
AU  - Trifunović, Aleksandar
AU  - Martinenko, Anastasija
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2700
AB  - Савремени приступи у високошколској едукацији, са употребом рачунара, као алата за прецизно цртање и 3Д моделовање, комбиновани са формом online предавања, су настали као резултат потреба инжењерске струке и актуелних услова живота за време пандемије Covid 19. Комбинована форма наставе, где се предавања реализују као својеврсни вебинари, а вежбе спроводе уживо у учионицама, на рачунарима, носе одређене специфичности и изазове како за наставнике, тако и за студенте. Кроз овај рад аутори ће приказати карактеристике оваквог типа наставе и њене изазове у реализацији, која је спровођена на
Грађевинском факултету Универзитета у Београду током
школске 2021/22 године, на предмету Нацртна геометрија са
рачунарским цртањем. Након завршеног зимског семестра,
после реализована два узастопна испитна рока (у јануару и
фебруару), спроведена је анкета са студентима, који су положили испит. Анкету, су креирали наставници на предмету. Резултати делова анкете, у контексту теме рада, су приказани кроз графике и дескриптивну статистику.
PB  - Društvo za ETRAN
PB  - Akademska misao
C3  - Zbornik radova LXVI konferencije ETRAN, Novi Pazar 6-9. juna 2022.
T1  - Izazovi u nastavi na računarima tokom pandemije COVID 19 na predmetu Nacrtna geometrija sa računarskim crtanjem
EP  - 839
SP  - 834
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2700
ER  - 

@conference{
author = "Dragović, Magdalena and Čučaković, Aleksandar and Čičević, Svetlana and Trifunović, Aleksandar and Martinenko, Anastasija",
year = "2022",
abstract = "Савремени приступи у високошколској едукацији, са употребом рачунара, као алата за прецизно цртање и 3Д моделовање, комбиновани са формом online предавања, су настали као резултат потреба инжењерске струке и актуелних услова живота за време пандемије Covid 19. Комбинована форма наставе, где се предавања реализују као својеврсни вебинари, а вежбе спроводе уживо у учионицама, на рачунарима, носе одређене специфичности и изазове како за наставнике, тако и за студенте. Кроз овај рад аутори ће приказати карактеристике оваквог типа наставе и њене изазове у реализацији, која је спровођена на
Грађевинском факултету Универзитета у Београду током
школске 2021/22 године, на предмету Нацртна геометрија са
рачунарским цртањем. Након завршеног зимског семестра,
после реализована два узастопна испитна рока (у јануару и
фебруару), спроведена је анкета са студентима, који су положили испит. Анкету, су креирали наставници на предмету. Резултати делова анкете, у контексту теме рада, су приказани кроз графике и дескриптивну статистику.",
publisher = "Društvo za ETRAN, Akademska misao",
journal = "Zbornik radova LXVI konferencije ETRAN, Novi Pazar 6-9. juna 2022.",
title = "Izazovi u nastavi na računarima tokom pandemije COVID 19 na predmetu Nacrtna geometrija sa računarskim crtanjem",
pages = "839-834",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2700"
}

Dragović, M., Čučaković, A., Čičević, S., Trifunović, A.,& Martinenko, A.. (2022). Izazovi u nastavi na računarima tokom pandemije COVID 19 na predmetu Nacrtna geometrija sa računarskim crtanjem. in Zbornik radova LXVI konferencije ETRAN, Novi Pazar 6-9. juna 2022.
Društvo za ETRAN., 834-839.
https://hdl.handle.net/21.15107/rcub_grafar_2700

Dragović M, Čučaković A, Čičević S, Trifunović A, Martinenko A. Izazovi u nastavi na računarima tokom pandemije COVID 19 na predmetu Nacrtna geometrija sa računarskim crtanjem. in Zbornik radova LXVI konferencije ETRAN, Novi Pazar 6-9. juna 2022.. 2022;:834-839.
https://hdl.handle.net/21.15107/rcub_grafar_2700 .

Dragović, Magdalena, Čučaković, Aleksandar, Čičević, Svetlana, Trifunović, Aleksandar, Martinenko, Anastasija, "Izazovi u nastavi na računarima tokom pandemije COVID 19 na predmetu Nacrtna geometrija sa računarskim crtanjem" in Zbornik radova LXVI konferencije ETRAN, Novi Pazar 6-9. juna 2022. (2022):834-839,
https://hdl.handle.net/21.15107/rcub_grafar_2700 .

TY  - CONF
AU  - Dragović, Magdalena
AU  - Čučaković, Aleksandar
AU  - Savvides, Demetrius
AU  - Bogdanović, Jelena
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2516
AB  - This paper presents a combined application of the two geometric concepts to analyze architectural layouts of selected medieval churches in the Balkans. One concept is a geometric construction, known as Štambuk’s canon, which is here supplemented by triangulation. Its application has been already attested to a wide range of late antique and medieval churches in the Balkans. The second concept is the Octagon model, which is based on the recovered geometric drawings incised in stone found at the Octagon monument, originally part of the late antique Galerius Palace in Thessaloniki. Both these concepts relay on geometric shapes and specific type of grid, derived from the combination of basic shapes of circles withtrianglesand squares.In the first approach, the two types of triangular sequences, i.e. geometric patterns,are appliedon the twelve layouts of the churches. The analysis shows that these patterns correspond with the four types of layouts, previously grouped by Nenadović. In the second approach, based on computer modeling and the fitting the four churches’ layouts into the complex Octagon model, the maximal deviation is +/- 3%. Although these are two
diverse starting settings for geometric analysis, this study indicates a strong correlation between them. Namely several elements of Štambuk’s construction and Octagon model are found in common, such as center of the apse, edge of Štambuk’sholy triangle, etc.
This investigation additionally points tothe possibility that the monuments from a wider Balkans region could have been designed by usingthe similar basic geometric principles.
PB  - Faculty of Applied Arts, University of Arts in Belgrade, Serbia
C3  - https://smartart-conference.rs/wp-content/uploads/2021/09/Knjiga-apstrakta-Book-of-Abstract.pdf
T1  - The Two Geometric Concepts Applied on The Architectural Design of Medieval Churches in The Balkans
EP  - 57
SP  - 57
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2516
ER  - 

@conference{
author = "Dragović, Magdalena and Čučaković, Aleksandar and Savvides, Demetrius and Bogdanović, Jelena",
year = "2021",
abstract = "This paper presents a combined application of the two geometric concepts to analyze architectural layouts of selected medieval churches in the Balkans. One concept is a geometric construction, known as Štambuk’s canon, which is here supplemented by triangulation. Its application has been already attested to a wide range of late antique and medieval churches in the Balkans. The second concept is the Octagon model, which is based on the recovered geometric drawings incised in stone found at the Octagon monument, originally part of the late antique Galerius Palace in Thessaloniki. Both these concepts relay on geometric shapes and specific type of grid, derived from the combination of basic shapes of circles withtrianglesand squares.In the first approach, the two types of triangular sequences, i.e. geometric patterns,are appliedon the twelve layouts of the churches. The analysis shows that these patterns correspond with the four types of layouts, previously grouped by Nenadović. In the second approach, based on computer modeling and the fitting the four churches’ layouts into the complex Octagon model, the maximal deviation is +/- 3%. Although these are two
diverse starting settings for geometric analysis, this study indicates a strong correlation between them. Namely several elements of Štambuk’s construction and Octagon model are found in common, such as center of the apse, edge of Štambuk’sholy triangle, etc.
This investigation additionally points tothe possibility that the monuments from a wider Balkans region could have been designed by usingthe similar basic geometric principles.",
publisher = "Faculty of Applied Arts, University of Arts in Belgrade, Serbia",
journal = "https://smartart-conference.rs/wp-content/uploads/2021/09/Knjiga-apstrakta-Book-of-Abstract.pdf",
title = "The Two Geometric Concepts Applied on The Architectural Design of Medieval Churches in The Balkans",
pages = "57-57",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2516"
}

Dragović, M., Čučaković, A., Savvides, D.,& Bogdanović, J.. (2021). The Two Geometric Concepts Applied on The Architectural Design of Medieval Churches in The Balkans. in https://smartart-conference.rs/wp-content/uploads/2021/09/Knjiga-apstrakta-Book-of-Abstract.pdf
Faculty of Applied Arts, University of Arts in Belgrade, Serbia., 57-57.
https://hdl.handle.net/21.15107/rcub_grafar_2516

Dragović M, Čučaković A, Savvides D, Bogdanović J. The Two Geometric Concepts Applied on The Architectural Design of Medieval Churches in The Balkans. in https://smartart-conference.rs/wp-content/uploads/2021/09/Knjiga-apstrakta-Book-of-Abstract.pdf. 2021;:57-57.
https://hdl.handle.net/21.15107/rcub_grafar_2516 .

Dragović, Magdalena, Čučaković, Aleksandar, Savvides, Demetrius, Bogdanović, Jelena, "The Two Geometric Concepts Applied on The Architectural Design of Medieval Churches in The Balkans" in https://smartart-conference.rs/wp-content/uploads/2021/09/Knjiga-apstrakta-Book-of-Abstract.pdf (2021):57-57,
https://hdl.handle.net/21.15107/rcub_grafar_2516 .

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  - 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  - Contoloru, Violeta
AU  - Didu, Anca
AU  - Rotea, Cristina
AU  - Dragović, Magdalena
AU  - Duta, Alina
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3075
AB  - Today, we are witnessing a strong combination between industry and art. It can even be argued that authentic artistic industry is being created, which consists of the manufacturing of products that combine useful qualities with aesthetic ones, all the way to the deep psychological comfort that product creates with the help of aesthetic value.
    This paper presents the concept of industrial aesthetics, argumentation of the beauty problem, aspects, guidelines and personal observations. Additionally, we provide an algorithm for the aesthetic evaluation of a product (beauty, attractiveness), which reveals numerous possibilities that designers haves at their disposal to meet product aesthetic requirements (e.g. comfort, elegance). Aesthetic indicators include appreciation criteria regarding the shape of the product, the ratio of shape-structure-functionality, shape-material, shape-colourornament, shape-colour-fashion-details, environmental form, appearance and finish, packaging and presentation of the product, expressivity trademarks etc. The design and aesthetics of the products are assets in the competitive struggle and elements of real differentiation of the products.
PB  - Serbian Society for Geometry and Graphics, University of Belgrade - Faculty of Mechanical Engineering
C3  - Proceedings of Int. Conf. for Geometry and Graphics "Mongeometrija 2020", Belgrade, Serbia
T1  - Comfort and elegance in auto design
EP  - 394
SP  - 387
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3075
ER  - 

@conference{
author = "Contoloru, Violeta and Didu, Anca and Rotea, Cristina and Dragović, Magdalena and Duta, Alina",
year = "2020",
abstract = "Today, we are witnessing a strong combination between industry and art. It can even be argued that authentic artistic industry is being created, which consists of the manufacturing of products that combine useful qualities with aesthetic ones, all the way to the deep psychological comfort that product creates with the help of aesthetic value.
    This paper presents the concept of industrial aesthetics, argumentation of the beauty problem, aspects, guidelines and personal observations. Additionally, we provide an algorithm for the aesthetic evaluation of a product (beauty, attractiveness), which reveals numerous possibilities that designers haves at their disposal to meet product aesthetic requirements (e.g. comfort, elegance). Aesthetic indicators include appreciation criteria regarding the shape of the product, the ratio of shape-structure-functionality, shape-material, shape-colourornament, shape-colour-fashion-details, environmental form, appearance and finish, packaging and presentation of the product, expressivity trademarks etc. The design and aesthetics of the products are assets in the competitive struggle and elements of real differentiation of the products.",
publisher = "Serbian Society for Geometry and Graphics, University of Belgrade - Faculty of Mechanical Engineering",
journal = "Proceedings of Int. Conf. for Geometry and Graphics "Mongeometrija 2020", Belgrade, Serbia",
title = "Comfort and elegance in auto design",
pages = "394-387",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3075"
}

Contoloru, V., Didu, A., Rotea, C., Dragović, M.,& Duta, A.. (2020). Comfort and elegance in auto design. in Proceedings of Int. Conf. for Geometry and Graphics "Mongeometrija 2020", Belgrade, Serbia
Serbian Society for Geometry and Graphics, University of Belgrade - Faculty of Mechanical Engineering., 387-394.
https://hdl.handle.net/21.15107/rcub_grafar_3075

Contoloru V, Didu A, Rotea C, Dragović M, Duta A. Comfort and elegance in auto design. in Proceedings of Int. Conf. for Geometry and Graphics "Mongeometrija 2020", Belgrade, Serbia. 2020;:387-394.
https://hdl.handle.net/21.15107/rcub_grafar_3075 .

Contoloru, Violeta, Didu, Anca, Rotea, Cristina, Dragović, Magdalena, Duta, Alina, "Comfort and elegance in auto design" in Proceedings of Int. Conf. for Geometry and Graphics "Mongeometrija 2020", Belgrade, Serbia (2020):387-394,
https://hdl.handle.net/21.15107/rcub_grafar_3075 .

TY  - GEN
AU  - Yeager, Travis
AU  - Danilovic, Dusan
AU  - Karton, Charles
AU  - Bogdanović, Jelena
AU  - Dragović, Magdalena
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2493
AB  - The local path of the Sun influences the architecture of our buildings. We have developed a model to measure the amount of sunlight that will pass through the windows of the Studenica Monastery Church. This model is general enough that it may be applied to any building for which the position and area of the windows are known. Our model allows for a quantitative measure of amount of Sun light that reaches any chosen set of windows of the Studenica Monastery Church. This model of many steps toward answering the question of whether or not the Studenica monastery in Serbia was constructed in a way that uses Greco-Roman astronomical knowledge of solar position. We employ the use of the solar position function developed by the National Renewable Energy Laboratory, Mahooti (2020). The solar calculator gives the position of the Sun with an accuracy of ±0.0003° for years -2000 to 6000 AD. We also use a spherical atmospheric model which accounts for building elevation to calculate solar intensity loss due to the atmosphere. Average values are chosen for Earth albedo, atmospheric temperature, pressure and refraction. The change in a building’s internal illumination due to rotation is dependent on the distribution of windows and the orientation of the building with respect to the cardinal directions. Our model of Studenica indicates that a skew of approximately 5° results in significant increases and reductions in total internal illumination by up to ±10 − 20% in both the morning and the evening. By isolating various groupings of windows we are also able to understand how the macroscopic illumination of various parts of the monastery are illuminated by the Sun. All groupings of windows see significant changes in illumination over the course of the year, except for the Dome windows, whose illumination remains the most stable over the course of a year. The most light seems to enter through the lowest windows with less entering in the upper cubic pedestal and Dome. Some of the increases in solar illumination seems to occur in periods of the morning that would have been of liturgical importance and decreases of sunlight seem to occur around noon and in the afternoon. Though, there is no hard and fast rule for when increases and decreases in illumination occur. There is a complex interplay between the Monastery’s architecture and the amount of sunlight, leaving us with further work to analyze the effects of light within Studenica by ray tracing. Our results are consistent with those found by Jabi and Potamianos (2007). This work builds upon previous work by Dragovic et al. (2019a,b) who have analyzed the regular geometric shapes of Raška churches that underlie their proportional construction. Highlighted is the importance of similar geometric proportions and the use of roots, the gold ratio and numeric ratios in both the Studenica and Žiča monastery complex. This approach is general enough to be applied to any ˇ structure for which the window areas and positions are known
T2  - Virtual Workshop: Natural Light in Medieval Churches Between Bizantium and West
T1  - Modeling the interior sunlight effects of Studenica Monastery
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2493
ER  - 

@misc{
author = "Yeager, Travis and Danilovic, Dusan and Karton, Charles and Bogdanović, Jelena and Dragović, Magdalena",
year = "2020",
abstract = "The local path of the Sun influences the architecture of our buildings. We have developed a model to measure the amount of sunlight that will pass through the windows of the Studenica Monastery Church. This model is general enough that it may be applied to any building for which the position and area of the windows are known. Our model allows for a quantitative measure of amount of Sun light that reaches any chosen set of windows of the Studenica Monastery Church. This model of many steps toward answering the question of whether or not the Studenica monastery in Serbia was constructed in a way that uses Greco-Roman astronomical knowledge of solar position. We employ the use of the solar position function developed by the National Renewable Energy Laboratory, Mahooti (2020). The solar calculator gives the position of the Sun with an accuracy of ±0.0003° for years -2000 to 6000 AD. We also use a spherical atmospheric model which accounts for building elevation to calculate solar intensity loss due to the atmosphere. Average values are chosen for Earth albedo, atmospheric temperature, pressure and refraction. The change in a building’s internal illumination due to rotation is dependent on the distribution of windows and the orientation of the building with respect to the cardinal directions. Our model of Studenica indicates that a skew of approximately 5° results in significant increases and reductions in total internal illumination by up to ±10 − 20% in both the morning and the evening. By isolating various groupings of windows we are also able to understand how the macroscopic illumination of various parts of the monastery are illuminated by the Sun. All groupings of windows see significant changes in illumination over the course of the year, except for the Dome windows, whose illumination remains the most stable over the course of a year. The most light seems to enter through the lowest windows with less entering in the upper cubic pedestal and Dome. Some of the increases in solar illumination seems to occur in periods of the morning that would have been of liturgical importance and decreases of sunlight seem to occur around noon and in the afternoon. Though, there is no hard and fast rule for when increases and decreases in illumination occur. There is a complex interplay between the Monastery’s architecture and the amount of sunlight, leaving us with further work to analyze the effects of light within Studenica by ray tracing. Our results are consistent with those found by Jabi and Potamianos (2007). This work builds upon previous work by Dragovic et al. (2019a,b) who have analyzed the regular geometric shapes of Raška churches that underlie their proportional construction. Highlighted is the importance of similar geometric proportions and the use of roots, the gold ratio and numeric ratios in both the Studenica and Žiča monastery complex. This approach is general enough to be applied to any ˇ structure for which the window areas and positions are known",
journal = "Virtual Workshop: Natural Light in Medieval Churches Between Bizantium and West",
title = "Modeling the interior sunlight effects of Studenica Monastery",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2493"
}

Yeager, T., Danilovic, D., Karton, C., Bogdanović, J.,& Dragović, M.. (2020). Modeling the interior sunlight effects of Studenica Monastery. in Virtual Workshop: Natural Light in Medieval Churches Between Bizantium and West.
https://hdl.handle.net/21.15107/rcub_grafar_2493

Yeager T, Danilovic D, Karton C, Bogdanović J, Dragović M. Modeling the interior sunlight effects of Studenica Monastery. in Virtual Workshop: Natural Light in Medieval Churches Between Bizantium and West. 2020;.
https://hdl.handle.net/21.15107/rcub_grafar_2493 .

Yeager, Travis, Danilovic, Dusan, Karton, Charles, Bogdanović, Jelena, Dragović, Magdalena, "Modeling the interior sunlight effects of Studenica Monastery" in Virtual Workshop: Natural Light in Medieval Churches Between Bizantium and West (2020),
https://hdl.handle.net/21.15107/rcub_grafar_2493 .

TY  - GEN
AU  - Dragović, Magdalena
AU  - Čučaković, Aleksandar
AU  - Čičević, Svetlana
AU  - Trifunović, Aleksandar
AU  - Matijević, Tamara
AU  - Matić, Veljko
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2699
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 roofing structure) students should provide its geometric interpretation of orthogonal projections on a 3D physical model of coordinate system -1; 3D model in Auto-CAD software (the alternative is card board 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 on the final 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-confidence and high-quality teamwork significantly contribute to overall satisfaction of students.
PB  - SUGIG - Srpsko udruženje za geometriju i grafiku
PB  - Faculty of Mechanical Engineering University of Belgrade
T2  - CATALOG - Exhibition of ideas, designs and models, Accompanying program of the 7th International scientific conference "moNGeometrija2020"
T1  - An additional student's task at Descriptive Geometry course
SP  - 4
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2699
ER  - 

@misc{
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 roofing structure) students should provide its geometric interpretation of orthogonal projections on a 3D physical model of coordinate system -1; 3D model in Auto-CAD software (the alternative is card board 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 on the final 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-confidence and high-quality teamwork significantly contribute to overall satisfaction of students.",
publisher = "SUGIG - Srpsko udruženje za geometriju i grafiku, Faculty of Mechanical Engineering University of Belgrade",
journal = "CATALOG - Exhibition of ideas, designs and models, Accompanying program of the 7th International scientific conference "moNGeometrija2020"",
title = "An additional student's task at Descriptive Geometry course",
pages = "4",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2699"
}

Dragović, M., Čučaković, A., Čičević, S., Trifunović, A., Matijević, T.,& Matić, V.. (2020). An additional student's task at Descriptive Geometry course. in CATALOG - Exhibition of ideas, designs and models, Accompanying program of the 7th International scientific conference "moNGeometrija2020"
SUGIG - Srpsko udruženje za geometriju i grafiku., 4.
https://hdl.handle.net/21.15107/rcub_grafar_2699

Dragović M, Čučaković A, Čičević S, Trifunović A, Matijević T, Matić V. An additional student's task at Descriptive Geometry course. in CATALOG - Exhibition of ideas, designs and models, Accompanying program of the 7th International scientific conference "moNGeometrija2020". 2020;:4.
https://hdl.handle.net/21.15107/rcub_grafar_2699 .

Dragović, Magdalena, Čučaković, Aleksandar, Čičević, Svetlana, Trifunović, Aleksandar, Matijević, Tamara, Matić, Veljko, "An additional student's task at Descriptive Geometry course" in CATALOG - Exhibition of ideas, designs and models, Accompanying program of the 7th International scientific conference "moNGeometrija2020" (2020):4,
https://hdl.handle.net/21.15107/rcub_grafar_2699 .

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  - Dragović, Magdalena
AU  - Čičević, Svetlana
AU  - Čučaković, Aleksandar
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2377
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  - Book of Abstracts of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020
T1  - Тhe benefits of an additional practice in descriptive geometry course: non obligatory workshop at the Faculty of civil engineering in Belgrade
EP  - 125
SP  - 123
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2377
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 = "Book of Abstracts of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020",
title = "Тhe benefits of an additional practice in descriptive geometry course: non obligatory workshop at the Faculty of civil engineering in Belgrade",
pages = "125-123",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2377"
}

Dragović, M., Čičević, S.,& Čučaković, A.. (2020). Тhe benefits of an additional practice in descriptive geometry course: non obligatory workshop at the Faculty of civil engineering in Belgrade. 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., 123-125.
https://hdl.handle.net/21.15107/rcub_grafar_2377

Dragović M, Čičević S, Čučaković A. Тhe benefits of an additional practice in descriptive geometry course: non obligatory workshop at the Faculty of civil engineering in Belgrade. in Book of Abstracts of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020. 2020;:123-125.
https://hdl.handle.net/21.15107/rcub_grafar_2377 .

Dragović, Magdalena, Čičević, Svetlana, Čučaković, Aleksandar, "Тhe benefits of an additional practice in descriptive geometry course: non obligatory workshop at the Faculty of civil engineering in Belgrade" in Book of Abstracts of The 7th International Scientific Conference on Geometry and Graphics Mongeometrija 2020 (2020):123-125,
https://hdl.handle.net/21.15107/rcub_grafar_2377 .

TY  - CONF
AU  - Matić, Veljko
AU  - Ranisavljević, Maja
AU  - Bošković, Matija
AU  - Dragović, Magdalena
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3148
AB  - The key-role in architectural design of contemporary buildings certainly lays in geometry of their structure. The compliance of construction technologies and materials brought variety of attractive 3D structures, the ones with simple geometry, as well as the other with complex geometric properties. This work presents several architectural achievements of exceptional aesthetics and design and discusses their geometric structures. Four 3D structures, generated from the surface hyperbolic-paraboloid, are chosen to present architectural designs, of famous architect Felix Candela, well known in the architecture of the world.
PB  - Scientific association for the development and affirmation of new technologies, Belgrade
PB  - Central Institute for Conservation, Belgrade
C3  - Proceedings of the 3rd International Students' Scientific Conference MULTIDISCIPLINARY APPROACH TO CONTEMPORARY RESEARCH - Cultural and Industrial Heritage
T1  - Presentation and analysis of geometric structures of contemporary buildings in the world architecture
T1  - Prezentacija i analiza geometrijskih struktura objekata svetske arhitekture
EP  - 172
SP  - 163
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3148
ER  - 

@conference{
author = "Matić, Veljko and Ranisavljević, Maja and Bošković, Matija and Dragović, Magdalena",
year = "2019",
abstract = "The key-role in architectural design of contemporary buildings certainly lays in geometry of their structure. The compliance of construction technologies and materials brought variety of attractive 3D structures, the ones with simple geometry, as well as the other with complex geometric properties. This work presents several architectural achievements of exceptional aesthetics and design and discusses their geometric structures. Four 3D structures, generated from the surface hyperbolic-paraboloid, are chosen to present architectural designs, of famous architect Felix Candela, well known in the architecture of the world.",
publisher = "Scientific association for the development and affirmation of new technologies, Belgrade, Central Institute for Conservation, Belgrade",
journal = "Proceedings of the 3rd International Students' Scientific Conference MULTIDISCIPLINARY APPROACH TO CONTEMPORARY RESEARCH - Cultural and Industrial Heritage",
title = "Presentation and analysis of geometric structures of contemporary buildings in the world architecture, Prezentacija i analiza geometrijskih struktura objekata svetske arhitekture",
pages = "172-163",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3148"
}

Matić, V., Ranisavljević, M., Bošković, M.,& Dragović, M.. (2019). Presentation and analysis of geometric structures of contemporary buildings in the world architecture. in Proceedings of the 3rd International Students' Scientific Conference MULTIDISCIPLINARY APPROACH TO CONTEMPORARY RESEARCH - Cultural and Industrial Heritage
Scientific association for the development and affirmation of new technologies, Belgrade., 163-172.
https://hdl.handle.net/21.15107/rcub_grafar_3148

Matić V, Ranisavljević M, Bošković M, Dragović M. Presentation and analysis of geometric structures of contemporary buildings in the world architecture. in Proceedings of the 3rd International Students' Scientific Conference MULTIDISCIPLINARY APPROACH TO CONTEMPORARY RESEARCH - Cultural and Industrial Heritage. 2019;:163-172.
https://hdl.handle.net/21.15107/rcub_grafar_3148 .

Matić, Veljko, Ranisavljević, Maja, Bošković, Matija, Dragović, Magdalena, "Presentation and analysis of geometric structures of contemporary buildings in the world architecture" in Proceedings of the 3rd International Students' Scientific Conference MULTIDISCIPLINARY APPROACH TO CONTEMPORARY RESEARCH - Cultural and Industrial Heritage (2019):163-172,
https://hdl.handle.net/21.15107/rcub_grafar_3148 .

TY  - CONF
AU  - Matijević, Tamara
AU  - Medarević, Ivana
AU  - Andrejić, Anđela
AU  - Dragović, Magdalena
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3149
AB  - The main inspiration for all designers often comes from geometric shapes. Hence, the same idea may be the base for the creation of some architectural object, art piece, jewelry or industrial product. This paper presents several design “products” and architectural shapes which share the same geometric idea.
PB  - Scientific association for the development and affirmation of new technologies, Belgrade
PB  - Central Institute for Conservation, Belgrade
C3  - Proceedings of the 3rd International Students' Scientific Conference MULTIDISCIPLINARY APPROACH TO CONTEMPORARY RESEARCH - Cultural and Industrial Heritage
T1  - From geometric idea to design creation
T1  - Od geometrijske ideje do kreacije
EP  - 181
SP  - 173
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3149
ER  - 

@conference{
author = "Matijević, Tamara and Medarević, Ivana and Andrejić, Anđela and Dragović, Magdalena",
year = "2019",
abstract = "The main inspiration for all designers often comes from geometric shapes. Hence, the same idea may be the base for the creation of some architectural object, art piece, jewelry or industrial product. This paper presents several design “products” and architectural shapes which share the same geometric idea.",
publisher = "Scientific association for the development and affirmation of new technologies, Belgrade, Central Institute for Conservation, Belgrade",
journal = "Proceedings of the 3rd International Students' Scientific Conference MULTIDISCIPLINARY APPROACH TO CONTEMPORARY RESEARCH - Cultural and Industrial Heritage",
title = "From geometric idea to design creation, Od geometrijske ideje do kreacije",
pages = "181-173",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3149"
}

Matijević, T., Medarević, I., Andrejić, A.,& Dragović, M.. (2019). From geometric idea to design creation. in Proceedings of the 3rd International Students' Scientific Conference MULTIDISCIPLINARY APPROACH TO CONTEMPORARY RESEARCH - Cultural and Industrial Heritage
Scientific association for the development and affirmation of new technologies, Belgrade., 173-181.
https://hdl.handle.net/21.15107/rcub_grafar_3149

Matijević T, Medarević I, Andrejić A, Dragović M. From geometric idea to design creation. in Proceedings of the 3rd International Students' Scientific Conference MULTIDISCIPLINARY APPROACH TO CONTEMPORARY RESEARCH - Cultural and Industrial Heritage. 2019;:173-181.
https://hdl.handle.net/21.15107/rcub_grafar_3149 .

Matijević, Tamara, Medarević, Ivana, Andrejić, Anđela, Dragović, Magdalena, "From geometric idea to design creation" in Proceedings of the 3rd International Students' Scientific Conference MULTIDISCIPLINARY APPROACH TO CONTEMPORARY RESEARCH - Cultural and Industrial Heritage (2019):173-181,
https://hdl.handle.net/21.15107/rcub_grafar_3149 .

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  - JOUR
AU  - Trifunović, Aleksandar
AU  - Čičević, Svetlana
AU  - Dragović, Magdalena
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1894
AB  - Touchscreen devices have dramatically increased the accessibility and usage of technology, causing escalating usage, especially by very young children. Although the effects of screen time have been shown to produce serious (negatively effects on executive functioning, attention problems, school difficulties, sleep and eating disorders, and obesity) and even life-threatening consequences (due to radiation emission), technology can be beneficial if it is carefully used. Child-centered technology is especially designed to be as entertaining and captivating as possible. In order to examine how touchscreen devices, influence the acquisition of some important spatial concepts and provide exciting opportunities for learning new abilities, an experimental research was conducted aimed to determine whether the type of device used (computers or tablets) in the
natural kindergarten environment influences young children performances. For the purpose of this work, geometrical symbols on traffic signs were used to test spatial relationships – left/right, and longer/shorter relations. The test was carried out on a sample of 30 pre-school children. The results show significant differences between the two-testing media for identifying the longer vs. shorter relationships in favor of Tablet PC. Based on the results obtained, it can be concluded that the kinesthetic characteristics of tablets, the novelty factor and the opportunity to learn through playing, provide a positive approach to the early childhood education. Besides, the interactive environment created in a kindergarten by using tablets contributes to introduce new teaching methods which are expected to amplify the pedagogical capacity, changing the way of
spatial concepts acquisition, as well as, children traffic education take place within.
PB  - International Engineering and Technology Institute (IETI)
T2  - IETI Transactions on Ergonomics and Safety
T1  - Experimental Study: How fast is the Children's Reaction Times for Different Heights of Traffic Signs - Ergonomic Principles and Traffic Safety Aspect
EP  - 37
IS  - 1
SP  - 32
VL  - 3
DO  - 10.6722/TES.201907.3(1).0004
ER  - 

@article{
author = "Trifunović, Aleksandar and Čičević, Svetlana and Dragović, Magdalena",
year = "2019",
abstract = "Touchscreen devices have dramatically increased the accessibility and usage of technology, causing escalating usage, especially by very young children. Although the effects of screen time have been shown to produce serious (negatively effects on executive functioning, attention problems, school difficulties, sleep and eating disorders, and obesity) and even life-threatening consequences (due to radiation emission), technology can be beneficial if it is carefully used. Child-centered technology is especially designed to be as entertaining and captivating as possible. In order to examine how touchscreen devices, influence the acquisition of some important spatial concepts and provide exciting opportunities for learning new abilities, an experimental research was conducted aimed to determine whether the type of device used (computers or tablets) in the
natural kindergarten environment influences young children performances. For the purpose of this work, geometrical symbols on traffic signs were used to test spatial relationships – left/right, and longer/shorter relations. The test was carried out on a sample of 30 pre-school children. The results show significant differences between the two-testing media for identifying the longer vs. shorter relationships in favor of Tablet PC. Based on the results obtained, it can be concluded that the kinesthetic characteristics of tablets, the novelty factor and the opportunity to learn through playing, provide a positive approach to the early childhood education. Besides, the interactive environment created in a kindergarten by using tablets contributes to introduce new teaching methods which are expected to amplify the pedagogical capacity, changing the way of
spatial concepts acquisition, as well as, children traffic education take place within.",
publisher = "International Engineering and Technology Institute (IETI)",
journal = "IETI Transactions on Ergonomics and Safety",
title = "Experimental Study: How fast is the Children's Reaction Times for Different Heights of Traffic Signs - Ergonomic Principles and Traffic Safety Aspect",
pages = "37-32",
number = "1",
volume = "3",
doi = "10.6722/TES.201907.3(1).0004"
}

Trifunović, A., Čičević, S.,& Dragović, M.. (2019). Experimental Study: How fast is the Children's Reaction Times for Different Heights of Traffic Signs - Ergonomic Principles and Traffic Safety Aspect. in IETI Transactions on Ergonomics and Safety
International Engineering and Technology Institute (IETI)., 3(1), 32-37.
https://doi.org/10.6722/TES.201907.3(1).0004

Trifunović A, Čičević S, Dragović M. Experimental Study: How fast is the Children's Reaction Times for Different Heights of Traffic Signs - Ergonomic Principles and Traffic Safety Aspect. in IETI Transactions on Ergonomics and Safety. 2019;3(1):32-37.
doi:10.6722/TES.201907.3(1).0004 .

Trifunović, Aleksandar, Čičević, Svetlana, Dragović, Magdalena, "Experimental Study: How fast is the Children's Reaction Times for Different Heights of Traffic Signs - Ergonomic Principles and Traffic Safety Aspect" in IETI Transactions on Ergonomics and Safety, 3, no. 1 (2019):32-37,
https://doi.org/10.6722/TES.201907.3(1).0004 . .

TY  - JOUR
AU  - Trifunović, Aleksandar
AU  - Čičević, Svetlana
AU  - Žunjić, Aleksandar
AU  - Dragović, Magdalena
AU  - Yue, Xiao-Guang
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3099
AB  - The adult ergonomic design principles usually do not apply to children, because their needs, skills, and expectations differ. The purpose of this study is to explore preschoolers' and primary schoolers' color perception and memorization in the context of spatial orientation, in order to explore possibilities of implementation of colors in the design of the school interior. Our experiment involved 80 participants. This study mainly recruited children aged 5-9 years as research participants. After the investigation, we found that: (1) Children showed the highest accuracy in memorizing the yellow object (87.5 %), while they had demonstrated the lowest percentage of correct answers when memorizing the blue object (73.8 %); (2) Boys showed a higher accuracy in the perception of colored objects, compared to girls, for all four used colors; (3) Older children (third grade) showed better accuracy in memorizing the targeted properties of used test object of different colors (for all used colors) than younger children. These findings are considered in the context of the design of school equipment and surrounding.
PB  - IETI Transactions on Ergonomics and Safety
T2  - IETI Transactions on Ergonomics and Safety
T1  - An experimental study on the certain effects of colors on the perception of preschool and primary school children – implications to design
EP  - 43
IS  - 1
SP  - 38
VL  - 3
DO  - 10.6722/TES.201907_3(1).0005
ER  - 

@article{
author = "Trifunović, Aleksandar and Čičević, Svetlana and Žunjić, Aleksandar and Dragović, Magdalena and Yue, Xiao-Guang",
year = "2019",
abstract = "The adult ergonomic design principles usually do not apply to children, because their needs, skills, and expectations differ. The purpose of this study is to explore preschoolers' and primary schoolers' color perception and memorization in the context of spatial orientation, in order to explore possibilities of implementation of colors in the design of the school interior. Our experiment involved 80 participants. This study mainly recruited children aged 5-9 years as research participants. After the investigation, we found that: (1) Children showed the highest accuracy in memorizing the yellow object (87.5 %), while they had demonstrated the lowest percentage of correct answers when memorizing the blue object (73.8 %); (2) Boys showed a higher accuracy in the perception of colored objects, compared to girls, for all four used colors; (3) Older children (third grade) showed better accuracy in memorizing the targeted properties of used test object of different colors (for all used colors) than younger children. These findings are considered in the context of the design of school equipment and surrounding.",
publisher = "IETI Transactions on Ergonomics and Safety",
journal = "IETI Transactions on Ergonomics and Safety",
title = "An experimental study on the certain effects of colors on the perception of preschool and primary school children – implications to design",
pages = "43-38",
number = "1",
volume = "3",
doi = "10.6722/TES.201907_3(1).0005"
}

Trifunović, A., Čičević, S., Žunjić, A., Dragović, M.,& Yue, X.. (2019). An experimental study on the certain effects of colors on the perception of preschool and primary school children – implications to design. in IETI Transactions on Ergonomics and Safety
IETI Transactions on Ergonomics and Safety., 3(1), 38-43.
https://doi.org/10.6722/TES.201907_3(1).0005

Trifunović A, Čičević S, Žunjić A, Dragović M, Yue X. An experimental study on the certain effects of colors on the perception of preschool and primary school children – implications to design. in IETI Transactions on Ergonomics and Safety. 2019;3(1):38-43.
doi:10.6722/TES.201907_3(1).0005 .

Trifunović, Aleksandar, Čičević, Svetlana, Žunjić, Aleksandar, Dragović, Magdalena, Yue, Xiao-Guang, "An experimental study on the certain effects of colors on the perception of preschool and primary school children – implications to design" in IETI Transactions on Ergonomics and Safety, 3, no. 1 (2019):38-43,
https://doi.org/10.6722/TES.201907_3(1).0005 . .

TY  - CONF
AU  - Petronić, Sanja
AU  - Polić, Suzana
AU  - Dragović, Magdalena
AU  - Srećković, Milesa
AU  - Milosavljević, Anđelka
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3081
AB  - Dokument o politici za integraciju perspektive održivog razvoja u Konvenciju o svetskoj baštini, koji je usvojila Generalna skupština država članica (UNESCO, 2015), ističe značaj primene obnovljivih izvora energije u oblasti zaštite kulturnog nasleđa. Komparativnom analizom naučnih rezultata u međunarodnoj praksi o primeni obnovljivih izvora energije u zaštiti baštine, u ovom radu istražuju se distinkcije značajne za formulisanje semantičkog plana primene obnovljivih izvora energije u zaštiti baštine, sa akcentima na parametrima ograničenosti i funkcionalnosti primene na značajnim objektima kulturnog nasleđa.
AB  - A policy document on the integration of sustainable development perspective into the World Heritage Convention, adopted by the General Assembly of States Parties (UNESCO, 2015) emphasizes the importance of implementing renewable sources of energy into the field of cultural heritage protection. Comparative analyses of scientific results in international practices on the application of renewable energy sources in heritage protection, in this paper explores the distinctions important for formulating semantic plan for application of renewable energy sources in heritage protection, with emphasis on limitation parameters and functional applicability for significant cultural heritage objects.
PB  - Union of Mechanical and Electrotechnical Engineers and Technicians of Serbia (SMEITS)
C3  - Proceedings of 7th International Conference on Renewable Electrical Power Sources
T1  - Distinctions on renewable energy sources and cultural heritage protection
EP  - 264
SP  - 257
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3081
ER  - 

@conference{
author = "Petronić, Sanja and Polić, Suzana and Dragović, Magdalena and Srećković, Milesa and Milosavljević, Anđelka",
year = "2019",
abstract = "Dokument o politici za integraciju perspektive održivog razvoja u Konvenciju o svetskoj baštini, koji je usvojila Generalna skupština država članica (UNESCO, 2015), ističe značaj primene obnovljivih izvora energije u oblasti zaštite kulturnog nasleđa. Komparativnom analizom naučnih rezultata u međunarodnoj praksi o primeni obnovljivih izvora energije u zaštiti baštine, u ovom radu istražuju se distinkcije značajne za formulisanje semantičkog plana primene obnovljivih izvora energije u zaštiti baštine, sa akcentima na parametrima ograničenosti i funkcionalnosti primene na značajnim objektima kulturnog nasleđa., A policy document on the integration of sustainable development perspective into the World Heritage Convention, adopted by the General Assembly of States Parties (UNESCO, 2015) emphasizes the importance of implementing renewable sources of energy into the field of cultural heritage protection. Comparative analyses of scientific results in international practices on the application of renewable energy sources in heritage protection, in this paper explores the distinctions important for formulating semantic plan for application of renewable energy sources in heritage protection, with emphasis on limitation parameters and functional applicability for significant cultural heritage objects.",
publisher = "Union of Mechanical and Electrotechnical Engineers and Technicians of Serbia (SMEITS)",
journal = "Proceedings of 7th International Conference on Renewable Electrical Power Sources",
title = "Distinctions on renewable energy sources and cultural heritage protection",
pages = "264-257",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3081"
}

Petronić, S., Polić, S., Dragović, M., Srećković, M.,& Milosavljević, A.. (2019). Distinctions on renewable energy sources and cultural heritage protection. in Proceedings of 7th International Conference on Renewable Electrical Power Sources
Union of Mechanical and Electrotechnical Engineers and Technicians of Serbia (SMEITS)., 257-264.
https://hdl.handle.net/21.15107/rcub_grafar_3081

Petronić S, Polić S, Dragović M, Srećković M, Milosavljević A. Distinctions on renewable energy sources and cultural heritage protection. in Proceedings of 7th International Conference on Renewable Electrical Power Sources. 2019;:257-264.
https://hdl.handle.net/21.15107/rcub_grafar_3081 .

Petronić, Sanja, Polić, Suzana, Dragović, Magdalena, Srećković, Milesa, Milosavljević, Anđelka, "Distinctions on renewable energy sources and cultural heritage protection" in Proceedings of 7th International Conference on Renewable Electrical Power Sources (2019):257-264,
https://hdl.handle.net/21.15107/rcub_grafar_3081 .

TY  - CONF
AU  - Shambina, S.L.
AU  - Krasnopolskaya, Yu.S.
AU  - Lebedev, V.A.
AU  - Dragović, M.
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3080
AB  - There is an obvious tendency in the contemporary architecture that it is changing from using simple geometrical structures to different spatial forms, having the unique view and symbolizing the dynamics, development and the way forward. Design of buildings characterized by the variety of shapes leads to the necessity to classify these forms and, if possible, to choose a suitable analytical surface for them. Some spiral, twisted and screw surfaces as well as methods of their creation are considered in the article. The possibilities of architectural design based on these surfaces are being studied what is illustrated by a number of impressing examples of buildings and structures.
PB  - Peoples' Friendship University of Russia
C3  - Proceedings of Sci. - Practical Conf. with Int. Participation Engineering Systems 2019
T1  - Application of spiral and twisted surfaces to contemporary architecture
EP  - 166
SP  - 158
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3080
ER  - 

@conference{
author = "Shambina, S.L. and Krasnopolskaya, Yu.S. and Lebedev, V.A. and Dragović, M.",
year = "2019",
abstract = "There is an obvious tendency in the contemporary architecture that it is changing from using simple geometrical structures to different spatial forms, having the unique view and symbolizing the dynamics, development and the way forward. Design of buildings characterized by the variety of shapes leads to the necessity to classify these forms and, if possible, to choose a suitable analytical surface for them. Some spiral, twisted and screw surfaces as well as methods of their creation are considered in the article. The possibilities of architectural design based on these surfaces are being studied what is illustrated by a number of impressing examples of buildings and structures.",
publisher = "Peoples' Friendship University of Russia",
journal = "Proceedings of Sci. - Practical Conf. with Int. Participation Engineering Systems 2019",
title = "Application of spiral and twisted surfaces to contemporary architecture",
pages = "166-158",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3080"
}

Shambina, S.L., Krasnopolskaya, Yu.S., Lebedev, V.A.,& Dragović, M.. (2019). Application of spiral and twisted surfaces to contemporary architecture. in Proceedings of Sci. - Practical Conf. with Int. Participation Engineering Systems 2019
Peoples' Friendship University of Russia., 158-166.
https://hdl.handle.net/21.15107/rcub_grafar_3080

Shambina S, Krasnopolskaya Y, Lebedev V, Dragović M. Application of spiral and twisted surfaces to contemporary architecture. in Proceedings of Sci. - Practical Conf. with Int. Participation Engineering Systems 2019. 2019;:158-166.
https://hdl.handle.net/21.15107/rcub_grafar_3080 .

Shambina, S.L., Krasnopolskaya, Yu.S., Lebedev, V.A., Dragović, M., "Application of spiral and twisted surfaces to contemporary architecture" in Proceedings of Sci. - Practical Conf. with Int. Participation Engineering Systems 2019 (2019):158-166,
https://hdl.handle.net/21.15107/rcub_grafar_3080 .

TY  - CONF
AU  - Čičević, Svetlana
AU  - Dragović, Magdalena
AU  - Mitrović, Slobodan
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3073
AB  - This paper considers the relationship between Walkability and Usability in order to understand the perceptions of residents’ accessibility to community facilities provided after the street reconstruction. To address this goal the assessment framework that includes two corresponding measurement tools has been proposed. The experimental results show that the certain level of walkability has been achieved by the street reconstruction. However, the relationship of usability score with some of the walkability dimensions shows that land mix accessibility is not at the satisfactory level indicating the necessity for the City-logistics intervention within the examined City area, in terms of the street facilities service efficiency transformation to enhance overall sustainability.
PB  - University of Belgrade, Faculty of Transport and Traffic Engineering
C3  - Proceedings of the 4th Logistic International Conference
T1  - Is walkable street usable? Walkability and usability of street after reconstruction
EP  - 261
SP  - 252
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3073
ER  - 

@conference{
author = "Čičević, Svetlana and Dragović, Magdalena and Mitrović, Slobodan",
year = "2019",
abstract = "This paper considers the relationship between Walkability and Usability in order to understand the perceptions of residents’ accessibility to community facilities provided after the street reconstruction. To address this goal the assessment framework that includes two corresponding measurement tools has been proposed. The experimental results show that the certain level of walkability has been achieved by the street reconstruction. However, the relationship of usability score with some of the walkability dimensions shows that land mix accessibility is not at the satisfactory level indicating the necessity for the City-logistics intervention within the examined City area, in terms of the street facilities service efficiency transformation to enhance overall sustainability.",
publisher = "University of Belgrade, Faculty of Transport and Traffic Engineering",
journal = "Proceedings of the 4th Logistic International Conference",
title = "Is walkable street usable? Walkability and usability of street after reconstruction",
pages = "261-252",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3073"
}

Čičević, S., Dragović, M.,& Mitrović, S.. (2019). Is walkable street usable? Walkability and usability of street after reconstruction. in Proceedings of the 4th Logistic International Conference
University of Belgrade, Faculty of Transport and Traffic Engineering., 252-261.
https://hdl.handle.net/21.15107/rcub_grafar_3073

Čičević S, Dragović M, Mitrović S. Is walkable street usable? Walkability and usability of street after reconstruction. in Proceedings of the 4th Logistic International Conference. 2019;:252-261.
https://hdl.handle.net/21.15107/rcub_grafar_3073 .

Čičević, Svetlana, Dragović, Magdalena, Mitrović, Slobodan, "Is walkable street usable? Walkability and usability of street after reconstruction" in Proceedings of the 4th Logistic International Conference (2019):252-261,
https://hdl.handle.net/21.15107/rcub_grafar_3073 .

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  - Otat, Oana
AU  - Matei, Lucian
AU  - Otat, Victor
AU  - Dumitru, Ilie
AU  - Dragović, Magdalena
PY  - 2019
UR  - ProQuest ID 2231808410
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3090
AB  - The paper underpins the reconstruction and analysis of a vehicle - motorcycle-biker-assembly collision type by means of a graphical method. The virtual modeling of the traffic accident reconstruction was achieved by complying the traces and the distances identified; hence it was imported and developed the accident scene sketch. Following the numerical processing of the simulation, the vehicles speed during the pre-collision, collision and post-collision phases was determined in graphical form, generating speed and space variation diagrams.
PB  - Societatea Romana de Grafica Inginereasca - SORGING
T2  - Journal of Industrial Design and Engineering Graphics; Bucharest
T1  - The possibilities of using an outline crash sketch in modelling and simulation of accidents
EP  - 154
IS  - 1
SP  - 149
VL  - 14
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3090
ER  - 

@article{
author = "Otat, Oana and Matei, Lucian and Otat, Victor and Dumitru, Ilie and Dragović, Magdalena",
year = "2019",
abstract = "The paper underpins the reconstruction and analysis of a vehicle - motorcycle-biker-assembly collision type by means of a graphical method. The virtual modeling of the traffic accident reconstruction was achieved by complying the traces and the distances identified; hence it was imported and developed the accident scene sketch. Following the numerical processing of the simulation, the vehicles speed during the pre-collision, collision and post-collision phases was determined in graphical form, generating speed and space variation diagrams.",
publisher = "Societatea Romana de Grafica Inginereasca - SORGING",
journal = "Journal of Industrial Design and Engineering Graphics; Bucharest",
title = "The possibilities of using an outline crash sketch in modelling and simulation of accidents",
pages = "154-149",
number = "1",
volume = "14",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3090"
}

Otat, O., Matei, L., Otat, V., Dumitru, I.,& Dragović, M.. (2019). The possibilities of using an outline crash sketch in modelling and simulation of accidents. in Journal of Industrial Design and Engineering Graphics; Bucharest
Societatea Romana de Grafica Inginereasca - SORGING., 14(1), 149-154.
https://hdl.handle.net/21.15107/rcub_grafar_3090

Otat O, Matei L, Otat V, Dumitru I, Dragović M. The possibilities of using an outline crash sketch in modelling and simulation of accidents. in Journal of Industrial Design and Engineering Graphics; Bucharest. 2019;14(1):149-154.
https://hdl.handle.net/21.15107/rcub_grafar_3090 .

Otat, Oana, Matei, Lucian, Otat, Victor, Dumitru, Ilie, Dragović, Magdalena, "The possibilities of using an outline crash sketch in modelling and simulation of accidents" in Journal of Industrial Design and Engineering Graphics; Bucharest, 14, no. 1 (2019):149-154,
https://hdl.handle.net/21.15107/rcub_grafar_3090 .