There are two Coxeter groups associated with the truncated hexacross, one with the C6 or 4,3,3,3,3 Coxeter group, and a lower symmetry with the D6 or 33,1,1 Coxeter group.
US 120 in the "final" 1926 plan; it was truncated to Ridgway, Pennsylvania | Truncated icosahedron |
There are two Coxeter groups associated with the bicantitruncated 6-orthoplex, one with the BC6 or 4,3,3,3,3 Coxeter group, and a lower symmetry with the D6 or 33,1,1 Coxeter group.
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There are two Coxeter groups associated with the cantitruncated 6-orthoplex, one with the BC6 or 4,3,3,3,3 Coxeter group, and a lower symmetry with the D6 or 33,1,1 Coxeter group.
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There are two Coxeter groups associated with the cantellated 6-orthoplex, one with the BC6 or 4,3,3,3,3 Coxeter group, and a lower symmetry with the D6 or 33,1,1 Coxeter group.
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There are two Coxeter groups associated with the bicantellated 6-orthoplex, one with the BC6 or 4,3,3,3,3 Coxeter group, and a lower symmetry with the D6 or 33,1,1 Coxeter group.
There are two Coxeter groups associated with the rectified 10-orthoplex, one with the C10 or 4,38 Coxeter group, and a lower symmetry with two copies of 9-orthoplex facets, alternating, with the D10 or 37,1,1 Coxeter group.
There are two Coxeter groups associated with the rectified pentacross, one with the C5 or 4,3,3,3 Coxeter group, and a lower symmetry with two copies of 16-cell facets, alternating, with the D5 or 32,1,1 Coxeter group.
There are two Coxeter groups associated with the rectified hexacross, one with the C6 or 4,3,3,3,3 Coxeter group, and a lower symmetry with two copies of pentacross facets, alternating, with the D6 or 33,1,1 Coxeter group.
There are two Coxeter groups associated with the rectified heptacross, one with the C7 or 4,3,3,3,3,3 Coxeter group, and a lower symmetry with two copies of pentacross facets, alternating, with the D7 or 34,1,1 Coxeter group.
There are two Coxeter groups associated with the rectified 8-orthoplex, one with the C8 or 4,36 Coxeter group, and a lower symmetry with two copies of heptcross facets, alternating, with the D8 or 35,1,1 Coxeter group.
There are two Coxeter groups associated with the rectified 9-orthoplex, one with the C9 or 4,37 Coxeter group, and a lower symmetry with two copies of 8-orthoplex facets, alternating, with the D9 or 36,1,1 Coxeter group.
The truncated 6-simplex is one of 35 uniform 6-polytopes based on the 3,3,3,3,3 Coxeter group, all shown here in A6 Coxeter plane orthographic projections.
There are two Coxeter groups associated with the truncated 7-orthoplex, one with the C7 or 4,35 Coxeter group, and a lower symmetry with the D7 or 34,1,1 Coxeter group.
There are two Coxeter groups associated with the truncated 8-orthoplex, one with the C8 or 4,3,3,3,3,3,3 Coxeter group, and a lower symmetry with the D8 or 35,1,1 Coxeter group.