12. The Rhombic Dodecahedron in CPS

This excerpt from "12-The Rhombic Dodecahedron in CPS.pdf" explores the presence of the rhombic dodecahedron in the Close Packing of Spheres (CPS) model. It argues that the shape of the rhombic dodecahedron, a space-filling form, emerges from a multitude of spheres arranged in a specific pattern. The text then connects this pattern to the concept of minimum surfaces, exemplified by soap films, demonstrating the emergence of soap film-like surfaces within the CPS framework. This connection is further supported by the observation of angles and geometric conditions, which correspond to Joseph Plateau's laws governing soap film behavior. Finally, the source highlights the potential of the rhombic dodecahedron and its associated patterns for understanding the design of complex structures, particularly in the context of Platonic Structures, which are 3D structures built using simple components.