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Journals ACM SIGAPL APL Quote Quad Volume 34 Issue 1

Hyperbolic symmetry has been explored by mathematicians and artists as an outlet that can produce aesthetically appealing images with an underlying mathematical structure. In particular, the artist M. C. Escher has utilized the techniques of hyperbolic symmetry to generate his circle limit drawings. These images contain a central pattern, which is repeated outward while decreasing in size. To create these images, Escher utilized the circular Poincare model of the hyperbolic plane 5. This model provides the basis for this paper's purpose: exploring families of hyperbolic attractors generated when combinations of maps with hyperbolic symmetry and affine structure are mixed.

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Hyperbolic symmetry: a family affair

McEwen II, Robert A.
ACM SIGAPL APL Quote Quad , Volume 34 (1)
Association for Computing Machinery – Dec 31, 2003

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