User:Tomruen/nonsimplex domain honeycombs

Example compact hyperbolic honeycombs in nonsimplectic domain, a trigonal trapezohedron, with a hexagonal coxeter diagram. the domain is constructed from an index 6 subgroup of [(4,3,4,3)] as [(4,3,4,3*)]:

If two pairs of mirrors have the same ring state, they can be mapped into an extended symmetry with a half domain: