Uniform tilings in hyperbolic plane
- Uniform tilings in hyperbolic plane
There are an infinite number of uniform tilings on the hyperbolic plane based on the ("p" "q" "r") where "p" + "q" + "r" > 9 hyperbolic regular tilings.
Four families of uniform tilings and duals are shown below (using the Poincaré disk model for the hyperbolic plane):
The [7,3] (7 3 2) group family
External links
* cite web
author = Hatch, Don
title = Hyperbolic Planar Tessellations
url = http://www.hadron.org/~hatch/HyperbolicTesselations/
accessdate = 2006-09-09
* cite web
author = Eppstein, David
authorlink = David Eppstein
title = The Geometry Junkyard: Hyperbolic Tiling
url = http://www.ics.uci.edu/~eppstein/junkyard/hypertile.html
accessdate = 2006-09-09
* cite web
author = Joyce, David
title = Hyperbolic Tessellations
url = http://aleph0.clarku.edu/~djoyce/poincare/poincare.html
accessdate = 2006-09-09
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