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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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14. Similarity Theorem in CPS Geometry
The Geometry of Closed Packed Spheres
7 minutes 24 seconds
1 year ago
14. Similarity Theorem in CPS Geometry

The source explores the concept of similarity in geometry, arguing that traditional Euclidean geometry’s reliance on the parallel postulate is not the most fundamental approach. Instead, the source proposes a "CPS Geometry" based on the close-packing of spheres, where similarity arises from the inherent patterns and structures within this arrangement. This framework introduces the idea of "quantization" and suggests that the similarity theorem, rather than being a consequence of parallel lines, is a result of the inherent properties of the CPS arrangement.

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.