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Three Edge-to-Edge Sphere Tilings with Right Triangles

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This Demonstration shows edge-to-edge tilings of a sphere with right triangles with one of three choices of dihedral angles: , , ; , , ; and , , (for even ).

Contributed by: Izidor Hafner (May 2017)
Open content licensed under CC BY-NC-SA

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Details

These are all the edge-to-edge tilings of a sphere with right triangles [1, pp. 1–8].

Reference

[1] R. J. MacG. Dawson and B. Doyle, "Tilings of the Sphere with Right Triangles I: The Asymptotically Right Families," The Electronic Journal of Combinatorics, 13, 2006 Research Paper #R48, www.combinatorics.org/ojs/index.php/eljc/article/view/v13i1r48.

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