In other words, at the start of my proving 6th regular polyhedron, I thought I would construct this object and later say that all spheres are composed of points equally spaced apart as a corollary of the 6th regular polyhedron. But as the proof went on and on, in proving, I realized that construction of the 6th Regular Polyhedron was easily proved by making a natural grid system of the sphere surface, and only then do I go back and say the grid points are vertices of this special regular polyhedron. So a few days ago, I was expecting a proof of construction where I build the hexagon faced many faces on a sphere surface. I guess until you actually do the proof, can you then reflect on how you supposed it would go and how it actually went. This proof of 6th Regular Polyhedron surprised me. So I should have my 152nd book published before Sunday, some 3 days away. Textbooks are definitely the toughest writing assigment in science. While a single topic of science is almost like writing prose and goes very fast. The hardship of writing a physics textbook is so much coordination and organizing needed. Well to be fair the 151st book is almost 400 pages of TEACHING TRUE PHYSICS, 1st year College while the 152nd is a single topic book on Regular Polyhedron and only 100 pages. Comparing AP's 151st book on physics taking over a year while a math book on the 6th Regular Polyhedron proof takes but a week to publish.
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