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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

See also

\{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

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