Deltoidal trihexagonal tiling
From Wikipedia, the free encyclopedia
Deltoidal trihexagonal tiling | |
---|---|
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.
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