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Acute Triangulations of the Regular Icosahedral Surface
Authors:Jin-ichi Itoh and Tudor Zamfirescu
Institution:(1) Faculty of Education, Kumamoto University, Kumamoto 860, Japan;(2) Fachbereich Mathematik, Universität Dortmund, 44221 Dortmund, Germany
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.
Keywords:
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