Geometry of the Binary Tetrahedral Group in SU(2)


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There are three possible distances between elements of the binary tetrahedral group (not counting 0 and pi): They are

g = pi/3
p = pi/2
v = 2*pi/3.

The distance between points x and y in the group is their angular distance, which can be computed as arccos(x.y). These distances are given in the Table of Distances. (Browser's note: this table displays correctly in Netscape, but may not for you.)



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