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Continuous Flattening of Platonic Polyhedra

  • Jin-ichi Itoh
  • Chie Nara
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7033)

Abstract

We prove that each Platonic polyhedron P can be folded into a flat multilayered face of P by a continuous folding process for polyhedra.

Keywords

Equilateral Triangle Piecewise Linear Mapping Regular Tetrahedron Polyhedral Surface Regular Pentagon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Jin-ichi Itoh
    • 1
  • Chie Nara
    • 2
  1. 1.Faculty of EducationKumamoto UniversityJapan
  2. 2.Liberal Arts Education CenterAso Campus, Tokai UniversityAsoJapan

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