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Introduction E9F5FC
Questions FFFFC0
Software
See: Polytopes, Four classical algebras draft, Letters from Robert?
Understand why there are three infinite families of regular polytopes.
What is the relevant definition of a polytope? and regular polytope?
Why are there only 3 regular polytopes in higher dimensions?
Imagine polytopes as formed on a circle or sphere. If it is a circle, then how do we interpret the cross-polytope? Is it a square? And the simplex? Is it a triangle? And the hypercube? Is it a square? And in one dimension?
Literature
- Prologue: Regular Polytopes. McCammon.
- The Classification of Regular Solids, Madden and Robertson