Abstract
We prove here that the surface of the regular icosahedron can be triangulated with 8 non-obtuse and with 12 acute triangles. We also show these numbers to be smallest possible.
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Itoh, Ji., Zamfirescu, T. Acute Triangulations of the Regular Icosahedral Surface. Discrete Comput Geom 31, 197–206 (2004). https://doi.org/10.1007/s00454-003-0805-8
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DOI: https://doi.org/10.1007/s00454-003-0805-8