Truncated triapeirogonal tiling

In geometry, the truncated triapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of tr{∞,3}.

The dual of this tiling represents the fundamental domains of [∞,3], *∞32 symmetry.

There are 3 small index subgroup constructed from [∞,3] by mirror removal and alternation.

This tiling can be considered a member of a sequence of uniform patterns with vertex figure (4.6.2p) and Coxeter-Dynkin diagram .

For p < 6, the members of the sequence are omnitruncated polyhedra (zonohedrons), shown below as spherical tilings.

Truncated triapeirogonal tiling with mirrors