In geometry, the truncated order-4 heptagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{7,4}.
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).
There is only one simple subgroup [7,7]<sup>+</sup>, index 2, removing all the mirrors. This symmetry can be doubled to 742 symmetry by adding a bisecting mirror.