| 释义 |
- Related tilings
- See also
- References
- External links
{{Uniform hyperbolic tiles db|Reg hyperbolic tiling stat table|U55_0}}In geometry, the order-5 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,5}, constructed from five pentagons around every vertex. As such, it is self-dual. Related tilings {{Order-5_regular_tilings}}This tiling is topologically related as a part of sequence of regular polyhedra and tilings with vertex figure (5n). {{Regular pentagonal tiling table}}{{Order_5-5_tiling_table}}See also{{Commonscat|Order-5 pentagonal tiling}}- Square tiling
- Uniform tilings in hyperbolic plane
- List of regular polytopes
References- John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, {{isbn|978-1-56881-220-5}} (Chapter 19, The Hyperbolic Archimedean Tessellations)
- {{Cite book|title=The Beauty of Geometry: Twelve Essays|year=1999|publisher=Dover Publications|lccn=99035678|isbn=0-486-40919-8|chapter=Chapter 10: Regular honeycombs in hyperbolic space}}
External links - {{MathWorld | urlname= HyperbolicTiling | title = Hyperbolic tiling}}
- {{MathWorld | urlname=PoincareHyperbolicDisk | title = Poincaré hyperbolic disk }}
- Hyperbolic and Spherical Tiling Gallery
- KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings
- Hyperbolic Planar Tessellations, Don Hatch
{{Tessellation}}{{geometry-stub}} 7 : Hyperbolic tilings|Isogonal tilings|Isohedral tilings|Order-5 tilings|Pentagonal tilings|Regular tilings|Self-dual tilings |