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The Geometry of Closed Packed Spheres
Nick Trif
23 episodes
2 days 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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07. The Dialectic Process
The Geometry of Closed Packed Spheres
6 minutes 22 seconds
1 year ago
07. The Dialectic Process

The text draws a parallel between the incommensurability of the square root of two and the distribution of prime numbers, arguing that neither can be fully understood or expressed using simple patterns. The author then references Plato's dialectic method, which utilizes a series of hypotheses to reach a higher understanding of knowledge. This method is seen as analogous to the process of reasoning about the distribution of primes, suggesting that it requires a multi-layered approach to fully comprehend its complexity.

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.