High Quality Content by WIKIPEDIA articles! In geometry, the Triakis triangular tiling is a tiling of the Euclidean plane. It is an equilateral triangular tiling with each triangle divided into three triangles from the center point. Conway calls it a kisdeltile, constructed as a kis operation applied to a triangular tiling (deltille). It is labeled V3.12.12 because each isosceles triangle face has two types of vertices: one with 3 triangles, and two with 12 triangles. It is the dual tessellation of the truncated hexagonal tiling which has one triangle and two dodecagons at each vertex. It is topologically related to a sequence of polyhedra and continue into tilings of the hyperbolic plane. These vertex-transitive figures have (*n32) reflectional symmetry.

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