Triangular tiling: Difference between revisions

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{{Glossary}}
{{Glossary}}
The '''triangular tiling''', '''triangular grid''', '''triangular tessellation''' or '''triangular lattice''' ([[Schläfli symbol]] {3,6}) is one of the three possible proper Euclidean tilings of 2D space, alongside the [[square tiling]] and [[hexagonal tiling]]. It is constructed with six triangles being placed at each vertex.
The '''triangular tiling''', '''triangular grid''', '''triangular tessellation''' or '''triangular lattice''' ([[Schläfli symbol]] {3,6}) is one of the three possible regular tilings of the plane, alongside the [[square tiling]] and [[hexagonal tiling]]. It is constructed with six triangles being placed at each vertex.


Of the three regular 2D tilings, it is by far the least investigated, with very little native software support. Native support for triangular rules is offered by some general-purpose cellular automaton simulation programs, although said support is seldom without flaw.
Of the three regular 2D tilings, it is by far the least investigated, with very little native software support. Native support for triangular rules is offered by some general-purpose cellular automaton simulation programs, although said support is seldom without flaw.
[[Category:Mathematical miscellany]]

Revision as of 23:05, 24 March 2023

The triangular tiling, triangular grid, triangular tessellation or triangular lattice (Schläfli symbol {3,6}) is one of the three possible regular tilings of the plane, alongside the square tiling and hexagonal tiling. It is constructed with six triangles being placed at each vertex.

Of the three regular 2D tilings, it is by far the least investigated, with very little native software support. Native support for triangular rules is offered by some general-purpose cellular automaton simulation programs, although said support is seldom without flaw.