In geometry, the truncated tetrapentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t<sub>0,1,2</sub>{4,5} or tr{4,5}.
There are four small index subgroup constructed from [5,4] by mirror removal and alternation. In these images fundamental domains are alternately colored black and white, and mirrors exist on the boundaries between colors.
A radical subgroup is constructed [5*,4], index 10, as [5<sup>+</sup>,4], (5*2) with gyration points removed, becoming orbifold (*22222), and its direct subgroup [5*,4]<sup>+</sup>, index 20, becomes orbifold (22222).