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Geometric proportional model of the church of the Ljubostinja monastery
(University of Arts in Belgrade Faculty of Applied Arts Kralja Petra 4, Belgrade,Serbia, 2020)
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. ...
Interpreting parametric-biomimicry design from cad тo bim software: digital modelling based on a sketch of nandi flame
(Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade, 2021)
This research represents an application of two digital modelling softwares, first digital modelling software, chosen as representative of Computer-Aided Design – CAD modelling tool was Fusion 360. The representative of ...
The contemporary visualization and modelling technologies and techniques for the design of the green roofs
(Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade, 2020)
The contemporary design solutions are merging the boundaries between real and virtual
world. The Landscape architecture like the other interdisciplinary field stepped in a contemporary
technologies area focused on that, ...
Digital bio-transformations inspired by plants: urban installation as 3d model inspired by sketch of spathodea campanulata p. beauv (nandi flame)
(Faculty of Applied Arts, University of Arts in Belgrade, Serbia, 2021)
The field of biodesign, as an art and scientific discipline, deals with the exploration of the principles of organization and functioning of living organisms and the practical application of the acquired knowledge in ...
The Two Geometric Concepts Applied on The Architectural Design of Medieval Churches in The Balkans
(Faculty of Applied Arts, University of Arts in Belgrade, Serbia, 2021)
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, ...
Modeling the Sunlight Illumination of the Church at Studenica Monastery
(BRILL, 2022)
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. ...
On the extension of the Erdös-Mordell type inequalities
(Mathematical Inequalities & Applications, 2014)
We discuss the extension of inequality R_A >= c/a * r_b + b/a * r_c to the plane of triangle ABC. Based on the obtained extension, in regard to all three vertices of the triangle, we get the extension of Erdos-Mordell ...
Chebyshev polynomials and r-circulant matrices
(Applied Mathematics and Computation, 2022)
This paper connects two attractive topics in applied mathematics, r-circulant matrices and the
Chebyshev polynomials. The r-circulant matrices whose entries are the Chebyshev polynomials
of the first or second kind are ...
Spatial forms create by time extrusion of moving objects
(Novi Sad: Digital Design Center / Department of Architecture / Faculty of Technical Sciences, University of Novi SadBeograd: Serbian Society for Geometry and Graphics (SUGIG), 2018)
The idea for this design came from investigation of forms created as “time imprint” of moving 2D and 3D objects through space, while simultaneously changing their transformations: translation, rotation, scaling, etc. The ...
An additional students’ task at Descriptive Geometry
(Faculty of Mechanical Engineering, University of Belgrade, 2020)
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 ...