Ridge-facetings of the small stellated dodecahedron ship

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.

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clicking the triple-pictures of the table provides the corresponding VRML preview in this canvas			sissid-12-0 = sissid	sissid-0-20 = gike	sissid-3-5 = targi	sissid-3-7 = scufgi	sissid-3-13 = gib
			icosahedral		3-fold pyramidal
sissid-6-6-a = togif	sissid-6-6-b = tissidaf	sissid-1-5 = stappy	sissid-1-15 = regi	sissid-5-5 = sadcone	sissid-6-10 = gissdom	sissid-7-5 = rigsisdom	sissid-2-10 = starp
3-fold antiprismatic		5-fold pyramidal					5-fold antipr.