In geometry, the truncated order-4 heptagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t.
There are two uniform constructions of this tiling, first by the [7,4] kaleidoscope, and second by removing the last mirror, [7,4,1<sup>+</sup>], gives [7,7], (*772).
| Name | Tetraheptagonal | Truncated heptaheptagonal | |
|---|---|---|---|
| Image | |||
| Symmetry | [7,4] (*742) | [7,7] = [7,4,1<sup>+</sup>] (*772) = | |
| Symbol | t | tr | |
| Coxeter diagram |
There is only one simple subgroup [7,7]+, index 2, removing all the mirrors. This symmetry can be doubled to 742 symmetry by adding a bisecting mirror.