Ridge-facetings of the small rhombicuboctahedron ship

Possible facets here are the 8 triangles and 18 squares (6 in cubic and 12 in rhombic position) of the comodore itself together with the 6 internal octagons. The general naming code here is accordingly sirco-#{3}-#{4}-#{8}. This gives rise for exactly 12 edge-facetings with n-gonal axial rotation symmetries, provided n > 2. In fact, 3 have full octahedral symmetry, 3 have 4-fold prismatic symmetry, 4 have 4-fold pyramidal symmetry, and 2 have 3-fold pyramidal symmetry.

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clicking the triple-pictures of the table provides the corresponding VRML preview in this canvas			sirco-8-18-0 = sirco	sirco-8-6-6 = socco	sirco-0-12-6 = sroh	sirco-0-8-2 = op	sirco-0-12-4 = topfu	sirco-8-6-4 = tepcus
			octahedral			4-fold prismatic
sirco-4-5-1 = squacu	sirco-4-9-5-a	sirco-4-9-5-b	sirco-4-13-1 = escu	sirco-4-9-3-a	sirco-4-9-3-b
4-fold pyramidal				3-fold pyramidal