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Geometric 3D Models of Spiral Structures Inspired by Contemporary Architecture

Thumbnail
2014
1132.pdf (2.487Mb)
Authors
Kilibarda, L.
Milošević, M.
Tica, M.
Dragović, Magdalena
Conference object (Published version)
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Abstract
This geometric research is inspired by numerous magnificent structures-buildings around the world, which applied spiral geometry. Here we will present some of these architectural wonders and their basic geometric concepts. The intention of our work is to present the palette of 3D structures modeled in engineering software Auto CAD, where 3D operations with solids were available. Our concept concerning modeling of spiral building structures follows the basic geometric principles of simultaneous rotating and translating of an element along given geometric axis. The simple geometric shapes of circle, square, triangle and hexagon were combined in order to create the basic unit of spiral structure. We employed repetition of the basic unit, with the moving option in zigzag direction, around the central core (imaginary or real). Also, the combinations of elements which differ in sizes (scaling) are present in modeled shapes. As the result, we made various 3D models arranged in two types of st...ructures: one developed in horizontal and the other in vertical direction.

Source:
Proceedings. Vol. 1 / 4th International Scientific Conference on Geometry and Graphics moNGeometrija 2014, June 20th - 22nd, 2014 Vlasina, Serbia, 2014, 1, 13-23
Publisher:
  • Faculty of Civil Engineering and Architecture ; Serbian Society for Geometry and Graphics, Niš ; Beograd

ISBN: 978-86-88601-13-9

[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_grafar_1134
URI
https://grafar.grf.bg.ac.rs/handle/123456789/1134
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за математику, физику и нацртну геометрију
  • Катедра за геодезију и геоинформатику
  • Катедра за техничку механику и теорију конструкција
Institution/Community
GraFar
TY  - CONF
AU  - Kilibarda, L.
AU  - Milošević, M.
AU  - Tica, M.
AU  - Dragović, Magdalena
PY  - 2014
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1134
AB  - This geometric research is inspired by numerous magnificent structures-buildings around the world, which applied spiral geometry. Here we will present some of these architectural wonders and their basic geometric concepts. The intention of our work is to present the palette of 3D structures modeled in engineering software Auto CAD, where 3D operations with solids were available. Our concept concerning modeling of spiral building structures follows the basic geometric principles of simultaneous rotating and translating of an element along given geometric axis. The simple geometric shapes of circle, square, triangle and hexagon were combined in order to create the basic unit of spiral structure. We employed repetition of the basic unit, with the moving option in zigzag direction, around the central core (imaginary or real). Also, the combinations of elements which differ in sizes (scaling) are present in modeled shapes. As the result, we made various 3D models arranged in two types of structures: one developed in horizontal and the other in vertical direction.
PB  - Faculty of Civil Engineering and Architecture ; 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  - Geometric 3D Models of Spiral Structures Inspired by Contemporary Architecture
EP  - 23
SP  - 13
VL  - 1
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1134
ER  - 
@conference{
author = "Kilibarda, L. and Milošević, M. and Tica, M. and Dragović, Magdalena",
year = "2014",
abstract = "This geometric research is inspired by numerous magnificent structures-buildings around the world, which applied spiral geometry. Here we will present some of these architectural wonders and their basic geometric concepts. The intention of our work is to present the palette of 3D structures modeled in engineering software Auto CAD, where 3D operations with solids were available. Our concept concerning modeling of spiral building structures follows the basic geometric principles of simultaneous rotating and translating of an element along given geometric axis. The simple geometric shapes of circle, square, triangle and hexagon were combined in order to create the basic unit of spiral structure. We employed repetition of the basic unit, with the moving option in zigzag direction, around the central core (imaginary or real). Also, the combinations of elements which differ in sizes (scaling) are present in modeled shapes. As the result, we made various 3D models arranged in two types of structures: one developed in horizontal and the other in vertical direction.",
publisher = "Faculty of Civil Engineering and Architecture ; 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 = "Geometric 3D Models of Spiral Structures Inspired by Contemporary Architecture",
pages = "23-13",
volume = "1",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1134"
}
Kilibarda, L., Milošević, M., Tica, M.,& Dragović, M.. (2014). Geometric 3D Models of Spiral Structures Inspired by Contemporary Architecture. 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 ; Serbian Society for Geometry and Graphics, Niš ; Beograd., 1, 13-23.
https://hdl.handle.net/21.15107/rcub_grafar_1134
Kilibarda L, Milošević M, Tica M, Dragović M. Geometric 3D Models of Spiral Structures Inspired by Contemporary Architecture. in Proceedings. Vol. 1 / 4th International Scientific Conference on Geometry and Graphics moNGeometrija 2014, June 20th - 22nd, 2014 Vlasina, Serbia. 2014;1:13-23.
https://hdl.handle.net/21.15107/rcub_grafar_1134 .
Kilibarda, L., Milošević, M., Tica, M., Dragović, Magdalena, "Geometric 3D Models of Spiral Structures Inspired by Contemporary Architecture" in Proceedings. Vol. 1 / 4th International Scientific Conference on Geometry and Graphics moNGeometrija 2014, June 20th - 22nd, 2014 Vlasina, Serbia, 1 (2014):13-23,
https://hdl.handle.net/21.15107/rcub_grafar_1134 .

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