Acute Triangulations of Archimedean Surfaces. The Truncated Tetrahedron

作者：Feng Xiao^*; Yuan Liping; Zamfirescu Tudor

来源：Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 2015, 58(3): 271-282.

• Archimedean surface
• regular truncated tetrahedron
• acute triangulation
• cut locus

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.

• 出版日期2015
• 单位河北师范大学