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Possible facets here are the 6 octagrams, the 8 triangles and 6 squares of the comodore itself
together with the 12 internal squares.
The general naming code here is accordingly `gocco-#{8/3}-#{3}-#{4}`.
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.

gocco-6-8-6 = gocco |
gocco-6-0-12 = groh |
gocco-0-8-18 = querco |
gocco-2-0-8 = stop |
gocco-4-0-12 = tustopfu |
gocco-4-8-6 = crahg |

octahedral | 4-fold prismatic | ||||

gocco-1-4-5 = rasquacu | gocco-1-4-13 | gocco-5-4-9-a | gocco-5-4-9-b | gocco-3-4-9-a | gocco-3-4-9-b |

4-fold pyramidal | 3-fold pyramidal |

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