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Three Tilings of the Sphere with Right Triangles

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This Demonstration shows three different tilings of a sphere with right triangles that do not simply fit edge to edge. The triangles used have dihedral angles of , , (requiring 16 tiles); , , (10 tiles); and , , (72 tiles).

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

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This triangle tiling is explained in [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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