Abstract
The $(80^\circ,60^\circ,60^\circ)$ spherical triangle tiles the sphere, though not in an edge-to-edge fashion. We show that it tiles in exactly three different ways.
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References
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Dawson, R. An isosceles triangle that tiles the sphere in exactly three ways. Discrete Comput Geom 30, 459–466 (2003). https://doi.org/10.1007/s00454-003-2777-0
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DOI: https://doi.org/10.1007/s00454-003-2777-0