- Floret pentagonal tiling
Infobox face-uniform tiling
Type=Dual semiregular tiling
Face_List=irregular pentagons
Symmetry_Group=p6
or 632
Face_Type=V3.3.3.3.6
Dual=Snub hexagonal tiling
Property_List=face-transitive , chiralIn
geometry , the Floret pentagonal tiling is a dual semiregular tiling of the Euclidean plane. It is the dual of thesnub 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 configuration s (V3.3.3.3.n). (The sequence progresses into tilings the hyperbolic plane to any "n".) Theseface-transitive figures have (n32) rotational symmetry.See also
*
Tilings of regular polygons
*List of uniform tilings References
* (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. p39External links
* John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, "The Symmetry of Things" 2008, ISBN 978-1-56881-220-5 [http://www.akpeters.com/product.asp?ProdCode=2205]
* [http://www.steelpillow.com/polyhedra/five_sf/five.htm Five space-filling polyhedra] by Guy Inchbald
* [http://demonstrations.wolfram.com/PentagonalTiling/ Pentagonal Tiling] by Sándor Kabai,The Wolfram Demonstrations Project .
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