Isometries, Tessellations and Escher, Oh My! | Zendy

Melissa Potter | Zendy; Jason Ribando | Zendy

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Isometries, Tessellations and Escher, Oh My!

Author(s) -

Melissa Potter,

Jason Ribando

Publication year - 2005

Publication title -

american journal of undergraduate research

Language(s) - English

Resource type - Journals

eISSN - 2375-8732

pISSN - 1536-4585

DOI - 10.33697/ajur.2005.005

Subject(s) - escher , tessellation (computer graphics) , euclidean geometry , hyperbolic geometry , limit (mathematics) , voronoi diagram , mathematics , compass , equilateral triangle , isosceles triangle , computer graphics (images) , combinatorics , geometry , computer science , mathematical analysis , cartography , geography , differential geometry , programming language

Motivated to better understand the wonderful artistry and hyperbolic tessellations of M.C. Escher’s Circle Limit prints, we study the isometries of the hyperbolic plane and create tessellations of the Poincare disk using the Euclidean tools of compass and straightedge.

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