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Volume 33, Number 3, pages 303-319 (2022)
https://doi.org/10.26830/symmetry_2022_3_303
GOLDEN SECTION IN MY WOLFRAM MATHEMATICA DEMONSTRATIONS
Sándor Kabai
Abstract: The occurrence of Golden ratio in geometry is explored with the help of Wolfram Mathematica images. Seventeen of the author’s demonstrations out of the 576 published ones at the Wolfram demonstration site (Sándor Kabai - Wolfram Demonstrations Project) are introduced in this paper. It is to be noted that many other demonstrations are also related to the Golden ratio. Concerning the origin of the constructions shown it emphasized that the author is the originator of most of the constructions, the ideas, and discoveries behind them, which were never published before.
Keywords: golden ratio, icosahedron, polyhedral.
References:
Hart, G. (2008) Procedural Generation of Sculptural Forms, Bridges Conference Proceedings.
Kabai S., Bérczi Sz. (2009) Rhombic Structures, Püspökladány: UNICONSTANT.
Kabai S. (2002) Mathematical Graphics with the use of Mathematica, Püspökladány: UNICONSTANT.
Kabai S. (2010) bridges2010-317.pdf (https://bridgesmathart.org).
Verheyen, H. F. (2007) Symmetry Orbits, Boston, MA: Birkhäuser.
Kowalewski, G. (1938) Der Keplersche Körper und andere Bauspiele, Leipzig: Koehlers.
Weisstein, Eric W. (….) Great Circle, from MathWorld – A Wolfram Web Resource: https://mathworld.wolfram.com/GreatCircle.html
Weisstein, E. W. (….) Golden Rectangle, from MathWorld – A Wolfram Web Resource, https://mathworld.wolfram.com/GoldenRectangle.html
Wikipedia (2016) George Phillips Odom, Jr. (Jun 22, 2016) en.wikipedia.org/wiki/George_Phillips_Odom,_Jr.
Wikipedia (2019) Mysterium Cosmographicum, (Dec 10, 2019) en.wikipedia.org/wiki/Mysterium_Cosmographicum.
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