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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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15. The Golden Section
The Geometry of Closed Packed Spheres
8 minutes 55 seconds
1 year ago
15. The Golden Section

The text explores the Golden Ratio, also known as the Golden Section, and its significance in classical geometry. It highlights three primary ways the Golden Ratio manifests itself: through Euclid's definition of dividing a line into extreme and mean ratio, in the construction of a regular pentagon, and as a key element in constructing an icosahedron. The text emphasizes the fractal nature of the Golden Ratio, showcasing how its principles can be applied across different scales, from microscopic to macroscopic. It also draws connections between the Golden Ratio, the Theorem of Pythagoras, and complex functions, suggesting potential applications in advanced mathematical fields.

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.