Decomposition of closed orientable geometric surfaces into acute geodesic triangles
- 59 Downloads
We prove that for every \(g\ge 2\), a differentiable closed orientable geometric surface of genus g may be decomposed into \(16g-16\) acute geodesic triangles. We also determine the number of acute geodesic triangles needed for the sphere and the torus.
KeywordsAcute Decomposition Geodesic Orientable Surface Triangle
Mathematics Subject Classification53A05 51H25
Unable to display preview. Download preview PDF.
- 1.D. Eppstein, Acute square triangulations, Geometry Junkyard, computational and recreational geometry, http://www.ics.uci.edu/eppstein/junkyard/acute-square
- 3.X. Feng and L-P. Yuan, Acute triangulations of cylindrical surfaces, (to appear).Google Scholar