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3D Lattice Panels Based on the Concave Polyhedra of the Second Sort: Ideas for Architectural Ornaments
(Факултет примењених уметности, Београд, 2020 Faculty of Applied Arts, Belgrade, 2020, 2020)
Using the concave polyhedra of the second sort, we are creating spatial structures in the shape of lattice panels to be applied in architecture. The procedure is based on a rectangular (or, less often, a polar) array of ...
One Application of the Cone Surfaces on the Erdosh-Mordell inequality
(Novi Sad: Faculty of Technical Sciences, University of Novi SadNovi Sad: Serbian Society for Geometry and Graphics (SUGIG), 2012)
We discuss the spatial interpretation of the Erdös-Mordell inequality on the area of triangle ABC, and also consider the plane extension of this inequality.
Pentagon-based radial tiling with triangles and rectangles and its spatial interpretation
(Faculty of Applied Arts, University of Arts in Belgrade, Serbia, 2021)
The paper considers a type of radial pentagon-based tiling consisted of two shapes: triangle
and rectangle. The obtained solution has a spatial interpretation in a 3D arrangement of
equilateral triangles and squares ...
Three-Dimensional Rosettes Based on the Geometry of Concave Deltahedral Surfaces
(Факултет примењених уметности, Београд, 2020 Faculty of Applied Arts, Belgrade, 2020, 2020)
In this paper concave deltahedral surfaces are applied to link the two concepts of geometric rosette design – the polar distribution of the unit element (circular arc) around the center of the contour circle and the rosettes ...
Pentagon-Based Radial Tiling with Triangles and Rectangles and Its Spatial Interpretation
(University of Arts in Belgrade, Faculty of Applied Arts, Kralja Petra 4, 11000 Belgrade, Serbia, 2022)
The paper considers a type of radial pentagon-based tiling consisting of two shapes: triangle and rectangle. The ob tained solution has a spatial interpretation in a 3D arrangement of equilateral triangles and squares ...
Geometric Redesign of the Subdivided Surface of CC II: Application In Architecture
(Bucharest, Romania: SORGING–ROMANIAN SOCIETYFORENGINEERINGGRAPHICS, 2019)
The concave polyhedral surface of CC II can be used as a structural template for architectural design of domes, roofs or other covering or stand-alone structures. Subdivision of CC II faces in geometrically defined way can ...