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Reversible Polyhedra

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Treks into Intuitive Geometry
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Abstract

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?

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References

  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)

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  2. J. Akiyama and K. Matsunaga, P1-reversible solids obtained by Double-reversal-plates method, to be published

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  3. J. Akiyama, I. Sato and H. Seong, On Reversibility among Parallelohedra, Computational Geometry, LNCS 7579 (2012), 14-28

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  4. G. N. Frederickson, Piano-Hinged Dissections: Time to Fold!, A. K. Peters, Ltd. (2006)

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Akiyama, J., Matsunaga, K. (2015). Reversible Polyhedra. In: Treks into Intuitive Geometry. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55843-9_14

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