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Tiling a Sphere with Special Right Triangles

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This Demonstration shows the tiling of a sphere using spherical right triangles with dihedral angles of , and . The triangles can tile in exactly three different ways [1].

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

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[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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