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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.

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 |

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