Abstract:
In this paper we prove that the surface of the regular truncated
tetrahedron can be triangulated into 10 non-obtuse geodesic triangles, and
also into 12 acute geodesic triangles. Furthermore, we show that both
triangulations have minimal size.
Key Words: Archimedean surface, regular truncated tetrahedron, acute triangulation, cut locus.
2000 Mathematics Subject Classification: Primary: 52B10;
Secondary: 52B05, 53C45.
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