Prismatic pentagonal tiling
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| Prismatic pentagonal tiling | |
|---|---|
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| Type | Dual uniform tiling |
| Faces | irregular pentagons |
| Face configuration | V3.3.3.4.4 |
| Symmetry group | cmm or 2*22 or [∞,2+,∞] |
| Dual | Elongated triangular tiling |
| Properties | face-transitive |
In geometry, the prismatic pentagonal tiling is a dual uniform tiling in the Euclidean plane. It is one of 14 known isohedral pentagon tilings.
Conway calls it a iso(4-)pentille.[1]
It is the dual of the elongated triangular tiling.[2]
[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 (1979). The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. ISBN 0-486-23729-X. p37
- H.S.M. Coxeter, Kaleidoscopes: Selected Writings of H.S.M. Coxeter, editied by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBN 978-0-471-01003-6 [2]
- (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10] p 276
[edit] Notes
- ^ John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 [1] (Chapter 21, Naming Archimedean and Catalan polyhedra and tilings, p288 table)
- ^ Weisstein, Eric W., "Dual tessellation" from MathWorld.
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