Bending Hyperbolic Kaleidoscopes

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Reference

Vladimir Bulatov: Bending Hyperbolic Kaleidoscopes. In: Bridges 2011. Pages 479–482

DOI

Abstract

We demonstrate different ways to create and visualize tilings made with hyperbolic kaleidoscopes. We start with tiling of the hyperbolic plane and build bended kaleidoscopes in the hyperbolic space.

Extended Abstract

Bibtex

Used References

[1] J.Conway, H.Burgiel, H.Goodman-Strauss, (2008) Symmetry of things

[2] D.Dunham (2000) Hyperbolic Celtic Knot Patterns . Bridges 2000.

[3] C.Kaplan, D.Salesin(2004) Islamic Star Patterns in Absolute Geometry. ACM TG 23(2):97-119

[4] M.v.Gagern J.Richter-Gebert (2009) Hyperbolization of Euclidean Ornaments, EJC 16 (2009), R12.

[5] D.Mumford, C.Series, D.Wright (2002) Indra's Pearl: The Vision of Felix Klein

[6] W.Thurston (1980)The Geometry and Topology of Three-Manifolds

[7]V.Bulatov (2011) Tilings of the hyperbolic space and their visualization. //bulatov.org/math/1101/


Links

Full Text

http://archive.bridgesmathart.org/2011/bridges2011-479.pdf

intern file

Sonstige Links

http://archive.bridgesmathart.org/2011/bridges2011-479.html

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