In geometry, the infinite-order triangular tiling is a regular tiling of the hyperbolic plane with a Schläfli symbol of . All vertices are ideal, located at "infinity" and seen on the boundary of the Poincaré hyperbolic disk projection.
A lower symmetry form has alternating colors, and represented by cyclic symbol, . The tiling also represents the fundamental domains of the
This tiling is topologically related as part of a sequence of regular polyhedra with Schläfli symbol .
A nonregular infinite-order triangular tiling can be generated by a recursive process from a central triangle as shown here: