13. Archimedean Solids

The text describes the 13 Archimedean solids in terms of their relationship to the close-packing of spheres (CPS) arrangement. The author explains how these semi-regular polyhedrons, such as the cuboctahedron, truncated tetrahedron, and truncated icosahedron, can be constructed by manipulating Platonic solids within the framework of CPS. The text emphasizes that the CPS arrangement, where points are considered infinitesimal spheres, offers a fundamental understanding of geometrical concepts such as similarity and quantization of space. The text then explores the relationship between the CPS Geometry and other geometric and mathematical systems, including the Cartesian Geometry and Number Theory.