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Hyperbolic Tessellations

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Visit this site: http://aleph0.clarku.edu/~djoyce/poincare/poincare.html

Author:David Joyce; Dept. of Mathematics & Computer Science, Clark University
Description: The hyperbolic plane has more space in it then the Euclidean plane. There are only three regular tessellations of the Euclidean plane, namely {3,6} in which equilateral triangles meet six at each vertex, {4,4} in which squares meet four at each vertex, and {6,3} in which hexagons meet three at each vertex. But the hyperbolic plane can be tiled by any kind of regular polygon, and in many different ways... the Poincare Disk; regular tessellations; dual tessellations; quasiregular tessellations.

Levels: College, Research
Languages: English
Resource Types: Graphics
Math Topics: Hyperbolic Geometry, Symmetry/Tessellations

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