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In geometry, the truncated order-6 octagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{8,6}.
Contents
Uniform colorings
A secondary construction t{(8,8,3)} is called a truncated trioctaoctagonal tiling:
Symmetry
The dual to this tiling represent the fundamental domains of [(8,8,3)] (*883) symmetry. There are 3 small index subgroup symmetries constructed from [(8,8,3)] by mirror removal and alternation. In these images fundamental domains are alternately colored black and white, and mirrors exist on the boundaries between colors.
The symmetry can be doubled as 862 symmetry by adding a mirror bisecting the fundamental domain.
References
Truncated order-6 octagonal tiling Wikipedia(Text) CC BY-SA