Site Map Polytopes Dynkin Diagrams Vertex Figures, etc. Incidence Matrices Index

Ridge-facetings of the great cubicuboctahedron ship

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

© 2004-2019
top of page