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The Geometry of Closed Packed Spheres
Nick Trif
23 episodes
1 day ago
The Geometry of Closed Packed Spheres Mission statement: To change minds, to open eyes, to educate and inspire people designing and building better worlds. Beauty makes beautiful things beautiful! A sphere can be completely surrounded by exactly twelve other identical spheres. Close-packing of spheres helps us explore the shape of the physical space. A good design of a 3D structure shall obey the principles, freedom, and constraints imposed by the physical space around us.
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Mathematics
Science
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All content for The Geometry of Closed Packed Spheres is the property of Nick Trif and is served directly from their servers with no modification, redirects, or rehosting. The podcast is not affiliated with or endorsed by Podjoint in any way.
The Geometry of Closed Packed Spheres Mission statement: To change minds, to open eyes, to educate and inspire people designing and building better worlds. Beauty makes beautiful things beautiful! A sphere can be completely surrounded by exactly twelve other identical spheres. Close-packing of spheres helps us explore the shape of the physical space. A good design of a 3D structure shall obey the principles, freedom, and constraints imposed by the physical space around us.
Show more...
Mathematics
Science
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12. The Rhombic Dodecahedron in CPS
The Geometry of Closed Packed Spheres
11 minutes 4 seconds
1 year ago
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.

The Geometry of Closed Packed Spheres
The Geometry of Closed Packed Spheres Mission statement: To change minds, to open eyes, to educate and inspire people designing and building better worlds. Beauty makes beautiful things beautiful! A sphere can be completely surrounded by exactly twelve other identical spheres. Close-packing of spheres helps us explore the shape of the physical space. A good design of a 3D structure shall obey the principles, freedom, and constraints imposed by the physical space around us.