Symmetrical Color Label Systems L. Edgar Otto September 16, 2011
I went a little further after the better understanding of these alphanumeric color labels to make the 3 x 3 x 5 representation and found some more deep connections. Among these is the matching of color faces of cubes such that in the icosahedral group such that the order of the five things shifts from the rigid rotations of a dodecahedron to more of the pentagonal order for any face of it- Of course Conway's matching of pentagons in three solutions is intelligible too. But is it the case or is it known that we can shift between some groups we now hold separate and irreducible in a topological dynamic fashion?
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