Deltoidal trihexagonal tiling
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| Deltoidal trihexagonal tiling | |
|---|---|
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| Type | dual semiregular tiling |
| Faces | kite |
| Edges | Infinite |
| Vertices | Infinite |
| Face configuration | V3.4.6.4 |
| Symmetry group | p6m |
| Dual | Small_rhombitrihexagonal_tiling |
| Properties | face-transitive |
In geometry, the Deltoidal trihexagonal tiling is a dual of the semiregular tiling Small rhombitrihexagonal tiling. Its faces are deltoids or kites.
Conway calls it a tetrille.
The edges of this tiling can be formed by the intersection overlay of the regular triangular tiling and a hexagonal tiling.
[edit] Topological relations
This tiling is topologically related to three catalan solids, with face configurations 3.4.n.4, and continues into tilings of the hyperbolic plane.
 V3.4.3.4 |
 V3.4.4.4 |
 V3.4.5.4 |
 V3.4.6.4 |
 V3.4.7.4 |
[edit] See also
[edit] References
- Robert Williams The Geometrical Foundation of Natural Structure: A Source Book of Design New York: Dover, 1979. p40
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