A discussion generated by NotepadLM about the book:From Riemann Hypothesis To CPS Geometry And BackVolume 1Nick Trif

A discussion generated by NotepadLM about the book: From Riemann Hypothesis To CPS Geometry And Back Volume 1 Nick Trif

Overview of 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.Platonic Structures are complex 3D structures assembled from simple components using the patterns imposed by the close-packing of spheres. We have developed and patented ( in <a target="_blank" rel="noopener noreferrer nofollow" href="https://image-ppubs.uspto.gov/dirsearch-public/print/downloadPdf/9245059">US</a> and <a target="_blank" rel="noopener noreferrer nofollow" href="http://www.ic.gc.ca/opic-cipo/cpd/eng/patent/2809595/summary.html?query=Trif&amp;start=1&amp;num=50&amp;type=basic_search">Canada</a> ) software tools and methods for designing Platonic Structures and for guiding an operator to assemble these structures. Research is currently underway for using image processing and automation in assembling Platonic Structures.

Science

Mathematics

Physics

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. Platonic Structures are complex 3D structures assembled from simple components using the patterns imposed by the close-packing of spheres. We have developed and patented ( in US and Canada ) software tools and methods for designing Platonic Structures and for guiding an operator to assemble these structures. Research is currently underway for using image processing and automation in assembling Platonic Structures.

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.Platonic Structures are complex 3D structures assembled from simple components using the patterns imposed by the close-packing of spheres. We have developed and patented ( in <a href="https://image-ppubs.uspto.gov/dirsearch-public/print/downloadPdf/9245059" rel="noopener noreferrer">US</a> and <a href="http://www.ic.gc.ca/opic-cipo/cpd/eng/patent/2809595/summary.html?query=Trif&amp;start=1&amp;num=50&amp;type=basic_search" rel="noopener noreferrer">Canada</a> ) software tools and methods for designing Platonic Structures and for guiding an operator to assemble these structures. Research is currently underway for using image processing and automation in assembling Platonic Structures.

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The Geometry of Closed Packed Spheres

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