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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.

### Subfacets

$\{2,6\}$ $\{3,6\}$ $\{4,6\}$ $\{5,6\}$ $\{6,6\}$ ... $\{\aleph_0,6\}$
Hexagonal hosohedron Triangular tiling Order-6 square tiling Order-6 pentagonal tiling Order-6 hexagonal tiling ... Order-6 apeirogonal tiling
$\{3,2\}$ $\{3,3\}$ $\{3,4\}$ $\{3,5\}$ $\{3,6\}$ $\{3,7\}$ $\{3,8\}$ ... $\{3,\aleph_0\}$
Trigonal dihedron Tetrahedron Octahedron Icosahedron Triangular tiling Order-7 triangular tiling Order-8 triangular tiling ... Infinite-order triangular tiling
Regular
$t_0 \{6,3\}$
Rectified
$t_1 \{6,3\}$
Birectified
$t_2 \{6,3\}$
Truncated
$t_{0,1} \{6,3\}$
Bitruncated
$t_{1,2} \{6,3\}$
Cantellated
$t_{0,2} \{6,3\}$
Cantitruncated
$t_{0,1,2} \{6,3\}$
Hexagonal tiling Trihexagonal tiling Triangular tiling Truncated hexagonal tiling Hexagonal tiling Rhombitrihexagonal tiling Omnitruncated trihexagonal tiling
Regular
$t_0 \{(3,3,3,)\}$
Rectified
$t_1 \{(3,3,3,)\}$
Birectified
$t_2 \{(3,3,3,)\}$
Truncated
$t_{0,1} \{(3,3,3,)\}$
Bitruncated
$t_{1,2} \{(3,3,3,)\}$
Cantellated
$t_{0,2} \{(3,3,3,)\}$
Cantitruncated
$t_{0,1,2} \{(3,3,3,)\}$
Triangular tiling Triangular tiling Triangular tiling Trihexagonal tiling Trihexagonal tiling Trihexagonal tiling Hexagonal tiling