Tales of Escher and Tiling Hyperbolic Space

Year: 2024 Authors: Grant Sanderson

Core claim

Escher’s encounter with Coxeter’s hyperbolic tiling on the Poincaré disk helped catalyze the circle limit works.

Topics

tiling patterns, hyperbolic space, wallpaper symmetries, Escher circle limits

Domains

Euclidean tilings, hyperbolic geometry, symmetry groups, Poincaré disk, M. C. Escher, Moorish architecture, graphic art, pattern design

Methods

historical narrative, visual comparison, mathematical correspondence

Media

images, sketches, Circle Limit IV

Source status

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