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Visions of Infinity

Tiling a hyperbolic floor inspires both mathematics and art

Even the most brilliant innovators get their inspiration from somewhere.

A circular pattern of triangles with curved sides, similar to this one, inspired M.C. Escher to create his "Circle Limit" series of prints. ~~ Dunham

A hyperbolic quilt sewn together from pentagons of cloth, with four pentagons meeting at each corner in the pattern. ~~ Ferguson

Escher's "Circle Limit IV," as seen in this computer-generated rendition in gray and white, has an underlying tiling pattern in which four hexagons meet at each vertex. ~~ Dunham

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