Floret pentagonal tiling
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| Floret pentagonal tiling | |
|---|---|
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| Type | Dual semiregular tiling |
| Faces | irregular pentagons |
| Edges | Infinite |
| Vertices | Infinite |
| Face configuration | V3.3.3.3.6 |
| Symmetry group | p6 |
| Dual | Snub hexagonal tiling |
| Properties | face-transitive |
In geometry, the Floret pentagonal tiling is a dual semiregular tiling of the Euclidean plane. It is the dual of the snub hexagonal tiling.
Conway calls it a 6-fold pentille.
It is given its name because its six pentagonal tiles radiate out from a central point, like petals on a flower.
This tiling is topologically related as a part of sequence of polyhedra of pentagons with face configurations (V3.3.3.3.n). (The sequence progresses into tilings the hyperbolic plane to any n.)
 V3.3.3.3.3 |
 V3.3.3.3.4 |
 V3.3.3.3.5 |
 V3.3.3.3.6 |
 V3.3.3.3.7 |
[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. p39
[edit] External links
- Five space-filling polyhedra by Guy Inchbald
- Pentagonal Tiling by Sándor Kabai, The Wolfram Demonstrations Project.
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