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3-7 kisrhombille
Semiregular tiling of the hyperbolic plane / From Wikipedia, the free encyclopedia
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In geometry, the 3-7 kisrhombille tiling is a semiregular dual tiling of the hyperbolic plane. It is constructed by congruent right triangles with 4, 6, and 14 triangles meeting at each vertex.
Quick Facts Type, Faces ...
3-7 kisrhombille | |
---|---|
![]() | |
Type | Dual semiregular hyperbolic tiling |
Faces | Right triangle |
Edges | Infinite |
Vertices | Infinite |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() |
Symmetry group | [7,3], (*732) |
Rotation group | [7,3]+, (732) |
Dual polyhedron | Truncated triheptagonal tiling |
Face configuration | V4.6.14 |
Properties | face-transitive |
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Wikimedia Commons has media related to Uniform dual tiling V 4-6-14.
The image shows a Poincaré disk model projection of the hyperbolic plane.
It is labeled V4.6.14 because each right triangle face has three types of vertices: one with 4 triangles, one with 6 triangles, and one with 14 triangles. It is the dual tessellation of the truncated triheptagonal tiling which has one square and one heptagon and one tetrakaidecagon at each vertex.