ATON is a hopefully evolving classification theory. It aspires to unify knowledge around numbers and prefers naive methods. Some of the older posts are wrong but I'll keep them for the sake of continuity.

Wednesday, October 18, 2006

M3 (take-2)



















M3=E3/H3={,{},{,{}}}/{,{,{,{}}}} is the form that shapes all the rest since it has the overall symmetry of SM3=12/8=3/2. 3/2 is the symmetry that makes quarks/gluons and equal tempered tuning in music. I used call it Bion but given up on that. It is made by translating M2 by half and rotating by pi/4 in each of the 6 faces. And then completed the 3 manifested cubes giving M3 an outer shape like one of Escher's works.

It has 3 distinct aspects;






































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