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Volume 32, Number 2, pages 293-293 (2021)
https://doi.org/10.26830/symmetry_2021_2_293
GENERATOR POLYHEDRON GEOMETRY, AND ITS RELATIONSHIPS WITH PLATO’S TIMAEUS AND EPINOMIS
Panagiotis Stefanides*
* Institution of Engineering Technology Hellas Network.
E-mail: panamars@otenet.gr
Abstract: The purpose of this paper is to present to the scientific community, a newly discovered invention [2017] of a polyhedron, namely the “Generator Polyhedron”, which is a Non-regular Icosahedron having polyhedral bases of 12 Isoscelι triangles and 8 Equilateral ones. Its Skeleton Structure consists of 3 Orthoparallelogrammes, orthogonal to each other with sides’ ratios [4/π = 1.27201965…, for π = 4/√φ] based on the Square Root of the Golden Number and related directly to the regular Icosahedron, whose structure is based on the Golden Number [1.618033989…] and to the Dodecahedron, whose structure is based on the Square of the Golden Number [2.618033989…]. Thus further, get relationships with the other Platonic/Eucleidean Solids.
Keywords: Generator Polyhedron, Platonic-Eucleidean Solids, Polyhedra, Geometry, Plato’s Epinomis, ψυχής γένος, Timaeus, ψυχή, seven circles, Heaven.
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