Ridge-facetings of the small icosicosidodecahedron ship

Possible facets here are the 12 pentagrams, 20 triangles, and 20 hexagons of the comodore itself together with the 12 internal decagons. The general naming code here is accordingly siid-#{5/2}-#{3}-#{6}-#{10}. This gives rise for exactly 15 edge-facetings with n-gonal axial rotation symmetries, where n > 2. In fact, 3 have full icosahedral symmetry, 6 have 5-fold pyramidal symmetry, and 6 have 3-fold pyramidal symmetry.

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clicking the triple-pictures of the table provides the corresponding VRML preview in this canvas			siid-12-20-20-0 = siid	siid-12-20-0-12 = sidditdid	siid-0-0-20-12 = siddy	siid-2-10-10-6	siid-6-10-10-2	siid-6-10-10-6-a
			icosahedral			5-fold pyramidal ...
siid-6-10-10-6-b	siid-6-10-10-10	siid-10-10-10-6	siid-6-6-10-6	siid-6-10-6-6	siid-6-10-10-6-c	siid-6-10-10-6-d	siid-6-10-14-6	siid-6-14-10-6
... 5-fold pyramidal			3-fold pyramidal