The triangular tiling is a regular tiling formed from a plane filled with triangles. Six triangles join at each vertex. Its Bowers acronym is trat.
Structure and Sections
This tiling can also be given a coloring where the triangles have alternating colors around a vertex. This is the base of the 3-3-3 triangle group.
|...||Hexagonal hosohedron||Triangular tiling||Order-6 square tiling||Order-6 pentagonal tiling||Order-6 hexagonal tiling||...||Order-6 apeirogonal tiling|
|...||Trigonal dihedron||Tetrahedron||Octahedron||Icosahedron||Triangular tiling||Order-7 triangular tiling||Order-8 triangular tiling||...||Infinite-order triangular tiling|
|Regular ||Rectified ||Birectified ||Truncated ||Bitruncated ||Cantellated ||Cantitruncated ||Hexagonal tiling||Trihexagonal tiling||Triangular tiling||Truncated hexagonal tiling||Hexagonal tiling||Rhombitrihexagonal tiling||Omnitruncated trihexagonal tiling|
|Regular ||Rectified ||Birectified ||Truncated ||Bitruncated ||Cantellated ||Cantitruncated ||Triangular tiling||Triangular tiling||Triangular tiling||Trihexagonal tiling||Trihexagonal tiling||Trihexagonal tiling||Hexagonal tiling|