TY  - CONF
AU  - Čučaković, Aleksandar
AU  - Dragović, Magdalena
AU  - Shambina, S.
PY  - 2014
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1232
AB  - Spiral forms, nowadays actual, especially in the area of architecture and design, were the inspiration point for an creative geometrical research. Acquainted with different approaches, present in practical and theoretical sense, from empiric creations to parametric modeling, we chose to explore the dynamic patterns which appear in spiral shapes generating process. Since the term "spiral" is directly connected to circles we aimed our investigation to quadric surfaces with circular sections, where inscribed polygons obtain the spiral form by "twisting". We observed the series of inscribed polygons as dynamical spiral patterns of scaled frames, according to the geometry of the basic quadric surface. This investigation includes surfaces: cone, sphere, ellipsoid and elliptic hyperboloid. Three types of regular polygons are here included: triangle, square and pentagon. 3D model presentation of dynamic spiral patterns is performed in engineering software Auto-CAD. While considering the possibilities in application of such creations (models), some optimal intersecting surfaces are discussed.
PB  - Faculty of Civil Engineering and Architecture in Niš ; Serbian Society for Geometry and Graphics, Niš ; Beograd
C3  - Proceedings. Vol. 1 / 4th International Scientific Conference on Geometry and Graphics moNGeometrija 2014, June 20th - 22nd, 2014 Vlasina, Serbia
T1  - On dinamic spiral patterns - polygonal frames inscribed in circular sections of quadric surfaces
EP  - 284
SP  - 275
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1232
ER  - 

@conference{
author = "Čučaković, Aleksandar and Dragović, Magdalena and Shambina, S.",
year = "2014",
abstract = "Spiral forms, nowadays actual, especially in the area of architecture and design, were the inspiration point for an creative geometrical research. Acquainted with different approaches, present in practical and theoretical sense, from empiric creations to parametric modeling, we chose to explore the dynamic patterns which appear in spiral shapes generating process. Since the term "spiral" is directly connected to circles we aimed our investigation to quadric surfaces with circular sections, where inscribed polygons obtain the spiral form by "twisting". We observed the series of inscribed polygons as dynamical spiral patterns of scaled frames, according to the geometry of the basic quadric surface. This investigation includes surfaces: cone, sphere, ellipsoid and elliptic hyperboloid. Three types of regular polygons are here included: triangle, square and pentagon. 3D model presentation of dynamic spiral patterns is performed in engineering software Auto-CAD. While considering the possibilities in application of such creations (models), some optimal intersecting surfaces are discussed.",
publisher = "Faculty of Civil Engineering and Architecture in Niš ; Serbian Society for Geometry and Graphics, Niš ; Beograd",
journal = "Proceedings. Vol. 1 / 4th International Scientific Conference on Geometry and Graphics moNGeometrija 2014, June 20th - 22nd, 2014 Vlasina, Serbia",
title = "On dinamic spiral patterns - polygonal frames inscribed in circular sections of quadric surfaces",
pages = "284-275",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1232"
}

Čučaković, A., Dragović, M.,& Shambina, S.. (2014). On dinamic spiral patterns - polygonal frames inscribed in circular sections of quadric surfaces. in Proceedings. Vol. 1 / 4th International Scientific Conference on Geometry and Graphics moNGeometrija 2014, June 20th - 22nd, 2014 Vlasina, Serbia
Faculty of Civil Engineering and Architecture in Niš ; Serbian Society for Geometry and Graphics, Niš ; Beograd., 275-284.
https://hdl.handle.net/21.15107/rcub_grafar_1232

Čučaković A, Dragović M, Shambina S. On dinamic spiral patterns - polygonal frames inscribed in circular sections of quadric surfaces. in Proceedings. Vol. 1 / 4th International Scientific Conference on Geometry and Graphics moNGeometrija 2014, June 20th - 22nd, 2014 Vlasina, Serbia. 2014;:275-284.
https://hdl.handle.net/21.15107/rcub_grafar_1232 .

Čučaković, Aleksandar, Dragović, Magdalena, Shambina, S., "On dinamic spiral patterns - polygonal frames inscribed in circular sections of quadric surfaces" in Proceedings. Vol. 1 / 4th International Scientific Conference on Geometry and Graphics moNGeometrija 2014, June 20th - 22nd, 2014 Vlasina, Serbia (2014):275-284,
https://hdl.handle.net/21.15107/rcub_grafar_1232 .