Quasiregular rhombic tiling
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| Quasiregular rhombic tiling | |
|---|---|
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| Type | Dual semiregular tiling |
| Faces | Rhombus |
| Edges | Infinite |
| Vertices | Infinite |
| Face configuration | V3.6.3.6 |
| Symmetry group | p6m |
| Dual | Trihexagonal_tiling |
| Properties | edge-transitive face-transitive |
In geometry, the Quasiregular rhombic tiling is a tiling of identical 60° rhombi polygons on the Euclidean plane. There are two types of vertices, one with three rhombi and one with six rhombi.
Conway calls it a rhombille.
This is the dual of the trihexagonal tiling.
[edit] Related polyhedra and tilings
This tiling is topologically related as a part of sequence of polyhedra constructed from rhombic faces and face configurations of V3.n.3.n. This set is called quasi-regular because there is only one type of face, with equal edge lengths, but they are not regular polygons.
 V3.3.3.3 |
 V3.4.3.4 |
 V3.5.3.5 |
 V3.6.3.6 |
 V3.7.3.7 |
 V3.8.3.8 |
[edit] See also
[edit] References
- Grünbaum, Branko ; and Shephard, G. C. (1987). Tilings and Patterns. New York: W. H. Freeman. ISBN 0-716-71193-1. (Chapter 2.1: Regular and uniform tilings, p.58-65)
- Williams, Robert The Geometrical Foundation of Natural Structure: A Source Book of Design New York: Dover, 1979. p38
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