Ridge-facetings of the great dirhombicosidodecahedron ship   (part 2)

Possible facets here are the 24 pentagrams, 40 triangles, and 60 squares of the comodore itself together with 120 more internal triangles. The general naming code here is accordingly gidrid-#{5/2}-#{3}-#{4}. This gives rise for exactly 406 (pure polyhedral) edge-facetings with n-gonal axial rotation symmetries, provided n = 5 (plus uncounted compounds). In fact, 1 polyhedral ones has full icosahedral symmetry, 1 polyhedral ones has chiral icosahedral symmetry, 10 have 5-fold pyramidal symmetry, 250 have 5-fold chiral pyramidal symmetry, 15 have 5-fold antiprismatic symmetry, 9 have 5-fold chiral antiprismatic symmetry (i.e. anti-aligned orientations of base margins), 120 have 5-fold rotational glyde reflection symmetry (i.e. aligned orientations of base margins) 1 has octahedral symmetry, 1 has tetrahedral symmetry. And a total of 117 800 ridge-facetings have some 3-fold symmetry. Only the highest symmetrical compounds, the icosahedral symmetric dasi (compound of 20 octs) and the chiral icosahedral symmetric sapisseri (compound of 20 thahs), are being displayed additionally. It appears that any 5-fold faceting contains all the 24 pentagrams.

Due to its amount this page is being split into parts. The following parts are available:

1. part : full icosahedral, chiral icosahedral, 5-fold pyramidal, and 5-fold antiprismatic symmetry
2. part (this page) : 5-fold antiprismatic (continued), 5-fold chiral antiprismatic, 5-fold chiral pyramidal, and 5-fold rotational glyde reflection symmetry

The octahedral symmetric case clearly is oct itself and the tetrahedral symmetric one is thah. Those 2 and all other 117 798 cases with 3-fold symmetries, which then again contain all the 24 pentagrams, had only been counted by means of a computer research, cf. the article Axial-Symmetrical Edge-Facetings of Uniform Polyhedra. Neither a picture, nor a VRML, nor its mere code is being provided for obvious reason. – Even for the 2 last large groups of 5-fold symmetries only their VRML file, linked by its respective naming code, is being provided in list form so far.

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gidrid-24-40-40-v2	gidrid-24-40-40-v6	gidrid-24-40-40-v25	gidrid-24-40-40-v26	gidrid-24-40-40-v30	gidrid-24-60-10-v43	gidrid-24-60-10-v44	gidrid-24-60-10-v48
... 5-fold antiprismatic					5-fold chiral antiprismatic ...
						gidrid-24-50-15-v1 gidrid-24-50-15-v2 gidrid-24-50-15-v3 gidrid-24-50-15-v4 gidrid-24-50-15-v5 gidrid-24-50-15-v6 gidrid-24-50-15-v7 gidrid-24-50-15-v8 gidrid-24-50-15-v9 gidrid-24-50-15-v10 gidrid-24-50-15-v11 gidrid-24-50-15-v12 gidrid-24-50-15-v13 gidrid-24-50-15-v14 gidrid-24-50-15-v15 gidrid-24-50-15-v16 gidrid-24-50-15-v17 gidrid-24-50-15-v18 gidrid-24-50-15-v19 gidrid-24-50-15-v20 gidrid-24-50-15-v21 gidrid-24-50-15-v22	gidrid-24-50-15-v23 gidrid-24-50-15-v24 gidrid-24-50-15-v25 gidrid-24-50-15-v26 gidrid-24-50-15-v27 gidrid-24-50-15-v28 gidrid-24-50-15-v29 gidrid-24-50-15-v30 gidrid-24-50-15-v31 gidrid-24-50-15-v32 gidrid-24-50-15-v33 gidrid-24-50-15-v34 gidrid-24-50-15-v35 gidrid-24-50-15-v36 gidrid-24-50-15-v37 gidrid-24-50-15-v38 gidrid-24-50-15-v39 gidrid-24-50-15-v40 gidrid-24-50-15-v41 gidrid-24-50-15-v42 gidrid-24-50-15-v43 gidrid-24-50-15-v44
gidrid-24-60-10-v51	gidrid-24-60-10-v52	gidrid-24-60-10-v60	gidrid-24-60-30-v12	gidrid-24-60-30-v14	gidrid-24-80-0-v6
... 5-fold chiral antiprismatic						5-fold chiral pyramidal ...
gidrid-24-50-15-v45 gidrid-24-50-15-v46 gidrid-24-50-15-v47 gidrid-24-50-15-v48 gidrid-24-50-15-v49 gidrid-24-50-15-v50 gidrid-24-50-15-v51 gidrid-24-50-15-v52 gidrid-24-50-15-v53 gidrid-24-50-15-v54 gidrid-24-50-25-v1 gidrid-24-50-25-v2 gidrid-24-50-25-v3 gidrid-24-50-25-v4 gidrid-24-50-25-v5 gidrid-24-50-25-v6 gidrid-24-50-25-v7 gidrid-24-50-25-v8 gidrid-24-50-25-v9 gidrid-24-50-25-v10 gidrid-24-50-25-v11 gidrid-24-50-25-v12	gidrid-24-50-25-v13 gidrid-24-50-25-v14 gidrid-24-50-25-v15 gidrid-24-50-25-v16 gidrid-24-50-25-v17 gidrid-24-50-25-v18 gidrid-24-50-25-v19 gidrid-24-50-25-v20 gidrid-24-50-25-v21 gidrid-24-50-25-v22 gidrid-24-50-25-v23 gidrid-24-50-25-v24 gidrid-24-50-25-v25 gidrid-24-50-25-v26 gidrid-24-50-25-v27 gidrid-24-50-25-v28 gidrid-24-50-25-v29 gidrid-24-50-25-v30 gidrid-24-50-25-v31 gidrid-24-50-25-v32 gidrid-24-50-25-v33 gidrid-24-50-25-v34	gidrid-24-50-25-v35 gidrid-24-50-25-v36 gidrid-24-50-25-v37 gidrid-24-50-25-v38 gidrid-24-50-25-v39 gidrid-24-50-25-v40 gidrid-24-50-25-v41 gidrid-24-50-25-v42 gidrid-24-50-25-v43 gidrid-24-50-25-v44 gidrid-24-50-25-v45 gidrid-24-50-35-v1 gidrid-24-50-35-v2 gidrid-24-50-35-v3 gidrid-24-50-35-v4 gidrid-24-50-35-v5 gidrid-24-50-35-v6 gidrid-24-50-35-v7 gidrid-24-50-35-v8 gidrid-24-50-35-v9 gidrid-24-50-35-v10 gidrid-24-50-35-v11	gidrid-24-50-35-v12 gidrid-24-50-35-v13 gidrid-24-50-35-v14 gidrid-24-50-35-v15 gidrid-24-50-35-v16 gidrid-24-50-35-v17 gidrid-24-50-35-v18 gidrid-24-50-35-v19 gidrid-24-50-35-v20 gidrid-24-50-35-v21 gidrid-24-50-35-v22 gidrid-24-50-35-v23 gidrid-24-50-35-v24 gidrid-24-50-45-v1 gidrid-24-50-45-v2 gidrid-24-50-45-v3 gidrid-24-50-45-v4 gidrid-24-50-45-v5 gidrid-24-60-10-v3 gidrid-24-60-10-v4 gidrid-24-60-10-v5 gidrid-24-60-10-v7	gidrid-24-60-10-v8 gidrid-24-60-10-v9 gidrid-24-60-10-v10 gidrid-24-60-10-v11 gidrid-24-60-10-v12 gidrid-24-60-10-v13 gidrid-24-60-10-v14 gidrid-24-60-10-v15 gidrid-24-60-10-v16 gidrid-24-60-10-v17 gidrid-24-60-10-v18 gidrid-24-60-10-v19 gidrid-24-60-10-v20 gidrid-24-60-10-v21 gidrid-24-60-10-v22 gidrid-24-60-10-v23 gidrid-24-60-10-v24 gidrid-24-60-10-v25 gidrid-24-60-10-v26 gidrid-24-60-10-v27 gidrid-24-60-10-v28 gidrid-24-60-10-v29	gidrid-24-60-10-v30 gidrid-24-60-10-v31 gidrid-24-60-10-v32 gidrid-24-60-10-v33 gidrid-24-60-10-v34 gidrid-24-60-10-v35 gidrid-24-60-10-v36 gidrid-24-60-10-v37 gidrid-24-60-10-v38 gidrid-24-60-10-v39 gidrid-24-60-10-v40 gidrid-24-60-10-v41 gidrid-24-60-10-v42 gidrid-24-60-10-v43 gidrid-24-60-10-v44 gidrid-24-60-10-v45 gidrid-24-60-10-v46 gidrid-24-60-10-v47 gidrid-24-60-10-v53 gidrid-24-60-10-v54 gidrid-24-60-10-v55 gidrid-24-60-10-v56	gidrid-24-60-10-v57 gidrid-24-60-10-v58 gidrid-24-60-20-v1 gidrid-24-60-20-v2 gidrid-24-60-20-v3 gidrid-24-60-20-v4 gidrid-24-60-20-v5 gidrid-24-60-20-v6 gidrid-24-60-20-v7 gidrid-24-60-20-v8 gidrid-24-60-20-v9 gidrid-24-60-20-v10 gidrid-24-60-20-v11 gidrid-24-60-20-v12 gidrid-24-60-20-v13 gidrid-24-60-20-v14 gidrid-24-60-20-v15 gidrid-24-60-20-v16 gidrid-24-60-20-v17 gidrid-24-60-20-v18 gidrid-24-60-20-v19 gidrid-24-60-20-v20	gidrid-24-60-20-v21 gidrid-24-60-20-v22 gidrid-24-60-20-v23 gidrid-24-60-20-v24 gidrid-24-60-20-v25 gidrid-24-60-20-v26 gidrid-24-60-20-v27 gidrid-24-60-20-v28 gidrid-24-60-20-v29 gidrid-24-60-20-v30 gidrid-24-60-30-v2 gidrid-24-60-30-v3 gidrid-24-60-30-v4 gidrid-24-60-30-v5 gidrid-24-60-30-v6 gidrid-24-60-30-v7 gidrid-24-60-30-v8 gidrid-24-60-30-v9 gidrid-24-60-30-v10 gidrid-24-60-30-v11 gidrid-24-70-5-v1 gidrid-24-70-5-v2
... 5-fold chiral pyramidal ...
gidrid-24-70-5-v3 gidrid-24-70-5-v4 gidrid-24-70-5-v5 gidrid-24-70-5-v6 gidrid-24-70-5-v7 gidrid-24-70-5-v8 gidrid-24-70-5-v9 gidrid-24-70-5-v10 gidrid-24-70-5-v11 gidrid-24-70-5-v12 gidrid-24-70-5-v13 gidrid-24-70-5-v14 gidrid-24-70-5-v15 gidrid-24-70-5-v16 gidrid-24-70-5-v17 gidrid-24-70-5-v18 gidrid-24-70-5-v19 gidrid-24-70-5-v20 gidrid-24-70-5-v21 gidrid-24-70-5-v22 gidrid-24-70-5-v23 gidrid-24-70-5-v24	gidrid-24-70-15-v1 gidrid-24-70-15-v2 gidrid-24-70-15-v3 gidrid-24-70-15-v4 gidrid-24-70-15-v5 gidrid-24-70-15-v6 gidrid-24-70-15-v7 gidrid-24-70-15-v8 gidrid-24-80-0-v2 gidrid-24-80-0-v4	gidrid-24-40-20-v3 gidrid-24-40-20-v4 gidrid-24-40-20-v5 gidrid-24-40-20-v6 gidrid-24-40-20-v9 gidrid-24-40-20-v10 gidrid-24-40-20-v13 gidrid-24-40-20-v14 gidrid-24-40-20-v15 gidrid-24-40-20-v16 gidrid-24-40-20-v17 gidrid-24-40-20-v18 gidrid-24-40-20-v19 gidrid-24-40-20-v20 gidrid-24-40-20-v21 gidrid-24-40-20-v22 gidrid-24-40-20-v23 gidrid-24-40-20-v24 gidrid-24-40-20-v25 gidrid-24-40-20-v26 gidrid-24-40-20-v27 gidrid-24-40-20-v28	gidrid-24-40-20-v29 gidrid-24-40-20-v30 gidrid-24-40-20-v31 gidrid-24-40-20-v32 gidrid-24-40-20-v33 gidrid-24-40-20-v34 gidrid-24-40-20-v35 gidrid-24-40-20-v36 gidrid-24-40-20-v37 gidrid-24-40-20-v38 gidrid-24-40-20-v39 gidrid-24-40-20-v42 gidrid-24-40-20-v43 gidrid-24-40-20-v44 gidrid-24-40-30-v1 gidrid-24-40-30-v2 gidrid-24-40-30-v3 gidrid-24-40-30-v4 gidrid-24-40-30-v5 gidrid-24-40-30-v6 gidrid-24-40-30-v7 gidrid-24-40-30-v8	gidrid-24-40-30-v9 gidrid-24-40-30-v10 gidrid-24-40-30-v11 gidrid-24-40-30-v12 gidrid-24-40-30-v13 gidrid-24-40-30-v14 gidrid-24-40-30-v15 gidrid-24-40-30-v16 gidrid-24-40-30-v17 gidrid-24-40-30-v18 gidrid-24-40-30-v19 gidrid-24-40-30-v20 gidrid-24-40-30-v21 gidrid-24-40-30-v22 gidrid-24-40-30-v23 gidrid-24-40-30-v24 gidrid-24-40-30-v25 gidrid-24-40-30-v26 gidrid-24-40-30-v27 gidrid-24-40-30-v28 gidrid-24-40-30-v29 gidrid-24-40-30-v30	gidrid-24-40-30-v31 gidrid-24-40-30-v32 gidrid-24-40-30-v33 gidrid-24-40-30-v34 gidrid-24-40-30-v35 gidrid-24-40-30-v36 gidrid-24-40-30-v37 gidrid-24-40-30-v38 gidrid-24-40-30-v39 gidrid-24-40-30-v40 gidrid-24-40-30-v41 gidrid-24-40-30-v42 gidrid-24-40-30-v43 gidrid-24-40-30-v44 gidrid-24-40-30-v45 gidrid-24-40-30-v46 gidrid-24-40-30-v47 gidrid-24-40-30-v48 gidrid-24-40-30-v49 gidrid-24-40-30-v50 gidrid-24-40-30-v51 gidrid-24-40-30-v52	gidrid-24-40-30-v53 gidrid-24-40-30-v54 gidrid-24-40-40-v3 gidrid-24-40-40-v4 gidrid-24-40-40-v5 gidrid-24-40-40-v7 gidrid-24-40-40-v8 gidrid-24-40-40-v9 gidrid-24-40-40-v10 gidrid-24-40-40-v11 gidrid-24-40-40-v12 gidrid-24-40-40-v13 gidrid-24-40-40-v14 gidrid-24-40-40-v15 gidrid-24-40-40-v16 gidrid-24-40-40-v17 gidrid-24-40-40-v18 gidrid-24-40-40-v19 gidrid-24-40-40-v20 gidrid-24-40-40-v21 gidrid-24-40-40-v22 gidrid-24-40-40-v23	gidrid-24-40-40-v24 gidrid-24-40-40-v27 gidrid-24-40-40-v28 gidrid-24-40-40-v29 gidrid-24-40-50-v1 gidrid-24-40-50-v2 gidrid-24-40-50-v3 gidrid-24-40-50-v4 gidrid-24-40-50-v5 gidrid-24-40-50-v6
... 5-fold chiral pyramidal		5-fold rotational glyde reflection