Panagiotis Stefanides
Abstract
It is anticipated that the future shall need consideration of more frequent space travel and space research, for any form of scientific understanding of the universe we live in. This futuristic architectural proposal is based on a very special geometry of a recently Discovered Invention of a non-regular Icosahedron, related geometrically, as a whole, to the five Platonic/Eucleidean Polyhedra. The Model built is a non regular Icosahedron having 12 Isosceli triangles and 8 Equilateral triangles. Mirror triangles cut to size, invested the structure for the configuration of a “Polyhedroheliotrope” Satellite Optical Tracking application [size the Polyhedron was built is 4x scale of theory drawings presented: approx. encapsulation in cube of size 16x16x16 cc]. Homemade dark room for satellite - Space simulation involved for photos and video clips taken. The “Skeleton “ Sructure of this Polyhedron consists of three Orthogonal Parallelogramme Planes, vertical to each other of size each 4Xπ by area [orthogonal parallelogramme sides’ ratio: 4/π = √Φ/1]. The geometry of this work is part of the published book “Treatise on Circle Generator Polyhedron Harmony and Disharmony Condition of Three Concentric Circles in Common Ratio”. ISBN 978 – 618 – 83169 – 0 - 4, National Library of Greece 04/05/2017 by Panagiotis Ch. Stefanides [leading to this Polyhedron]. It concerns relationships of 3 Concentric Circles in Ratio to each other of √Φ/1 = 4/π for π = 4/√Φ = 3.14460551 , √Φ/1 =T= 1,2701965 [Ref: Bibliography 2017 : stefanides.gr].Generator, refers to the geometric characteristics of this non-regular Icosahedron found to be roots of the Platonic/Eucleidean Polyhedra. It is related to the Icosahedron, which in turn relates itself to the Dodecahedron of involved sides’ dimensions of their orthogonal parallelogrammes skeleton planes’ structures, in the ratios: Φ^2 / Φ = Φ/1 for Dodecahedron to Icosahedron and Φ/√Φ = √Φ/1 for Icosahedron to Generator Polyhedron.
Keywords
Satellite Optical Tracking,
Generator Polyhedron, Platonic/Eucleidean Polyhedra,
Geometry,
Plato’s Most Beautiful Triangle, Symmetry,
Harmony.
