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Acute Triangulations of the Surface of Circular Cone
School of Sciences, Shijiazhuang University, Shijiazhuang, China
School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, China
College of Mathematics, Hebei University of Economics and Business, Shijiazhuang, China
- 1 School of Sciences, Shijiazhuang University, Shijiazhuang, China
- 2 School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, China
- 3 College of Mathematics, Hebei University of Economics and Business, Shijiazhuang, China
Open Journal of Discrete Mathematics·Volume 12 (2022)·Pages 17–27·Published 1 April 2022·DOI10.4236/ojdm.2022.122002
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Abstract
In this paper, we prove that the surface of any circular cone can be triangulated into 8 non-obtuse and 20 acute triangles. Furthermore, we also show that the bounds are both the best possible.
KeywordsAcute TriangulationSurface of Circular ConeGauss-Bonnet Formula
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