Order-3 bisected heptagonal tiling
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| Order-3 bisected heptagonal tiling | |
|---|---|
 |
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| Type | Semiregular hyperbolic tiling |
| Faces | Right triangle |
| Edges | Infinite |
| Vertices | Infinite |
| Face configuration | V4.6.14 |
| Symmetry group | *732 |
| Dual | Great rhombitriheptagonal tiling |
| Properties | face-transitive |
In geometry, the order-3 bisected heptagonal tiling is a semiregular dual tiling of the hyperbolic plane.
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 great rhombitriheptagonal tiling which has one square and one heptagon and one tetrakaidecagon at each vertex.
It is topologically related to a polyhedra sequence. This group is special for having all even number of edges per vertex and form bisecting planes through the polyhedra and infinite lines in the plane.
 V4.6.6 |
 V4.6.8 |
 V4.6.10 |
 V4.6.12 |
[edit] References
- Grünbaum, Branko; Shephard, G. C. (1987). Tilings and Patterns. New York: W. H. Freeman and Company. ISBN 0-7167-1193-1.
[edit] See also
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