The Geometry of Closed Packed Spheres
Nick TrifThe 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 ... more
| Publishes | Daily | Episodes | 23 | Founded | a year ago |
|---|---|---|---|---|---|
| Categories | MathematicsScience | ||||
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The document explores the concept of incommensurability in mathematics, focusing on the relationship between numbers and their square roots. It introduces the square roots spiral as a visual representation of incommensurable magnitudes. The text then... more
The text discusses the concept of straight lines in CPS Geometry, a system where points are infinitesimal spheres arranged in a specific pattern. It explores the concept of lines as patterns that extend infinitely in both directions and can be define... more
The source explains the connection between the Fibonacci sequence and the Golden Ratio, also known as the Golden Section. The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding numbers (e.g., 1, 1, 2, 3, 5, 8)... more
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... more
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... more
The text describes the 13 Archimedean solids in terms of their relationship to the close-packing of spheres (CPS) arrangement. The author explains how these semi-regular polyhedrons, such as the cuboctahedron, truncated tetrahedron, and truncated ico... more
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 multi... more
This source discusses the five Platonic solids, or perfect bodies: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. The author argues that these solids are not mystical, but rather can be explained using the principle of close-packin... more
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Chart Rankings
How this podcast ranks in the Apple Podcasts, Spotify and YouTube charts.
Apple Podcasts | #79 |  United States/Science/Mathematics |
Apple Podcasts | #39 |  United Kingdom/Science/Mathematics |
Apple Podcasts | #25 |  Japan/Science/Mathematics |
Apple Podcasts | #32 |  Taiwan/Science/Mathematics |
Apple Podcasts | #63 |  Spain/Science/Mathematics |
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The Geometry of Closed Packed Spheres launched a year ago and published 23 episodes to date. You can find more information about this podcast including rankings, audience demographics and engagement in our podcast database.
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