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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