11. Platonic Solids in CPS Geometry

EPISODE · Oct 4, 2024 · 6 MIN

11. Platonic Solids in CPS Geometry

from The Geometry of Closed Packed Spheres · host Nick Trif

This source discusses the five Platonic solids, or perfect bodies: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. The author argues that these solids are not mystical, but rather can be explained using the principle of close-packing of spheres in a specific arrangement called the CPS Space. The source presents detailed patterns and structures of the Platonic solids within the CPS arrangement, showcasing how these solids can be assembled from identical spheres. It emphasizes the importance of building physical models to understand these structures and challenges the traditional view of space as being composed of cubes. The source concludes by exploring the relationship between the icosahedron and dodecahedron as dual structures, illustrating their interconnections and the existence of a related structure called the Great Stelled Dodecahedron.

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11. Platonic Solids in CPS Geometry

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