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Ridge-facetings of the icosidodecahedron ship

Possible facets here are the 20 triangles and 12 pentagons of the comodore itself together with the 6 internal decagons. The general naming code here is accordingly id-#{3}-#{5}-#{10}. This gives rise for exactly 7 edge-facetings with n-gonal axial rotation symmetries, provided n > 2. In fact, 3 have full icosahedral symmetry, 2 have 5-fold pyramidal symmetry, and 2 have 3-fold pyramidal symmetry.

id-20-12-0
= id
id-20-0-6
= seihid
id-0-12-6
= sidhid
id-10-6-1
= pero
id-10-6-5 id-10-6-3-a id-10-6-3-b
icosahedral 5-fold pyramidal 3-fold pyramidal


Ridge-facetings of the great icosidodecahedron ship

Possible facets here are the 12 pentagrams and 20 triangles of the comodore itself together with the 6 internal decagrams. The general naming code here is accordingly gid-#{5/2}-#{3}-#{10/3}. This gives rise for exactly 7 edge-facetings with n-gonal axial rotation symmetries, provided n > 2. In fact, 3 have full icosahedral symmetry, 2 have 5-fold pyramidal symmetry, and 2 have 3-fold pyramidal symmetry.

gid-12-20-0
= gid
gid-12-0-6
= gidhid
gid-0-20-6
= geihid
gid-6-10-1 gid-6-10-5 gid-6-10-3-a gid-6-10-3-b
icosahedral 5-fold pyramidal 3-fold pyramidal

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