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Deltoidal trihexagonal tiling

From Wikipedia, the free encyclopedia

Deltoidal trihexagonal tiling
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
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