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Acute Triangulations of the Cuboctahedral Surface

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Book cover Computational Geometry, Graphs and Applications (CGGA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7033))

Abstract

In this paper we prove that the surface of the cuboctahedron can be triangulated into 8 non-obtuse triangles and 12 acute triangles. Furthermore, we show that both bounds are the best possible.

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Author information

Authors and Affiliations

  1. Hebei Normal University, 050016, Shijiazhuang, China

    Xiao Feng & Liping Yuan

Authors
  1. Xiao Feng
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  2. Liping Yuan
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Editor information

Editors and Affiliations

  1. Research Institute of Education, Tokai University, 2-28-4 Tomigaya, Tokio, Shibuya-ku, Japan

    Jin Akiyama

  2. School of Computer Science and Technology, Dalian Maritime University, 116026, Dalian, China

    Jiang Bo

  3. Ibaraki University, Nakanarusawa, 316-8511, Hitachi, Ibaraki, Japan

    Mikio Kano

  4. Tokai University, 4-1-1 Kitakaname, 259-1292, Hiratsuka, Japan

    Xuehou Tan

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© 2011 Springer-Verlag Berlin Heidelberg

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Feng, X., Yuan, L. (2011). Acute Triangulations of the Cuboctahedral Surface. In: Akiyama, J., Bo, J., Kano, M., Tan, X. (eds) Computational Geometry, Graphs and Applications. CGGA 2010. Lecture Notes in Computer Science, vol 7033. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24983-9_8

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  • DOI: https://doi.org/10.1007/978-3-642-24983-9_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24982-2

  • Online ISBN: 978-3-642-24983-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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