Ridge-facetings of the dodecadodecahedron ship

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

did-12-12-0 = did	did-12-0-10 = sidhei	did-0-12-10 = gidhei	did-6-6-5-a = sodidpef	did-6-6-5-b = godidpef	did-6-6-3 = didtef	did-6-6-7 = hitef	did-4-4-4 = sipter
icosahedral			5-fold pyramidal		3-fold pyramidal		2-fold briquet