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Determination of All Tessellation Polyhedra with Regular Polygonal Faces

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Computational Geometry, Graphs and Applications (CGGA 2010)

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

Abstract

A polyhedron (3-dimensional polytope) is defined as a tessellation polyhedron if it possesses a net of which congruent copies can be used to tile the plane. In this paper we determine all convex polyhedra with regular polygonal faces which are tessellation polyhedra.

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References

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Author information

Authors and Affiliations

  1. Tokai University, Japan

    Jin Akiyama, Takayasu Kuwata & Kenji Okawa

  2. Université Libre de Bruxelles, Belgium

    Stefan Langerman

  3. Miyagi Cancer Center, Japan

    Ikuro Sato

  4. University of East Anglia, UK

    Geoffrey C. Shephard

Authors
  1. Jin Akiyama
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  2. Takayasu Kuwata
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  3. Stefan Langerman
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  4. Kenji Okawa
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  5. Ikuro Sato
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  6. Geoffrey C. Shephard
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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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Akiyama, J., Kuwata, T., Langerman, S., Okawa, K., Sato, I., Shephard, G.C. (2011). Determination of All Tessellation Polyhedra with Regular Polygonal Faces. 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_1

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  • DOI: https://doi.org/10.1007/978-3-642-24983-9_1

  • 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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