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Hyperbolic Tiling

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HyperbolicTilings

The illustrations above show a number of hyperbolic tilings, including the heptagonal once related to the Klein quartic.

Escher was fond of depicting hyperbolic tilings, including "Circle Limit I" (Bool et al. 1982, p. 319), "Circle Limit III" (Bool et al. 1982, pp. 97 and 320), and "Circle Limit IV" (Bool et al. 1982, pp. 98 and 322).

See also

Apeirogon, Euclidean Plane, Hyperbolic Plane, Klein Quartic, Poincaré Hyperbolic Disk, Riemann Sphere, Rigid Motion

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References

Bool, F. H.; Kist, J. R.; Locher, J. L.; and Wierda, F. M. C. Escher: His Life and Complete Graphic Work. New York: Abrams, 1982.Escher, M. C. "Circle Limit III." Woodcut, printed from 5 blocks. 1959a. http://www.mcescher.com/Gallery/recogn-bmp/LW434.jpg.Escher, M. C. "Circle Limit IV." Woodcut, printed from 2 blocks. 1959b. http://www.mcescher.com/Gallery/recogn-bmp/LW436.jpg.Hatch, D. "Hyperbolic Planar Tessellations." http://www.plunk.org/~hatch/HyperbolicTesselations/.

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Hyperbolic Tiling

Cite this as:

Weisstein, Eric W. "Hyperbolic Tiling." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HyperbolicTiling.html

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