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Possible facets here are the 12 pentagrams of the comodore itself together with the 20 internal triangles. The general naming code here is accordingly sissid-#{5/2}-#{3}. This gives rise for exactly 13 edge-facetings with n-gonal axial rotation symmetries, where n > 2. In fact, 2 have full icosahedral symmetry, 5 have 5-fold pyramidal symmetry, 1 has 5-fold antiprismatic symmetry, 3 have 3-fold pyramidal symmetry, and 2 have 3-fold antiprismatic symmetry.
sissid-12-0 = sissid |
sissid-0-20 = gike |
sissid-3-5 = targi |
sissid-3-7 = scufgi |
sissid-3-13 = gib |
sissid-6-6-a = togif |
sissid-6-6-b = tissidaf |
icosahedral | 3-fold pyramidal | 3-fold antiprismatic | ||||
sissid-1-5 = stappy |
sissid-1-15 = regi |
sissid-5-5 = sadcone |
sissid-6-10 = gissdom |
sissid-7-5 = rigsisdom |
sissid-2-10 = starp | |
5-fold pyramidal | 5-fold antipr. |
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