Reversible Polyhedra

  • Jin Akiyama
  • Kiyoko Matsunaga


I have here a pig. Actually, it is a truncated octahedron (Fig. 14.1.1). And I can transform this pig into something else if I turn it inside out. What do you think will I get?


Unit Cube Giant Panda Hexagonal Prism Dissection Plane Reversible Pair 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    J. Akiyama, M. Kanzaki, N. Kikuchi, G. Nakamura, Y. Yamaguchi, Reversible Solids (in Japanese), Gallery “Art Space”, Aoyama, R.I.E.D., Tokai University (2000)Google Scholar
  2. [2]
    J. Akiyama and K. Matsunaga, P1-reversible solids obtained by Double-reversal-plates method, to be publishedGoogle Scholar
  3. [3]
    J. Akiyama, I. Sato and H. Seong, On Reversibility among Parallelohedra, Computational Geometry, LNCS 7579 (2012), 14-28MATHGoogle Scholar
  4. [4]
    G. N. Frederickson, Piano-Hinged Dissections: Time to Fold!, A. K. Peters, Ltd. (2006)MATHGoogle Scholar

Copyright information

© Springer Japan 2015

Authors and Affiliations

  • Jin Akiyama
    • 1
  • Kiyoko Matsunaga
    • 2
  1. 1.Tokyo University of ScienceTokyoJapan
  2. 2.YokohamaJapan

Personalised recommendations