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Paper-Folding, Polyhedra-Building, and Number Theory

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Abstract

In this chapter we carry the paper-folding procedures and the mathematics of paper-folding further than we did in [2]. However, in order to make this account as self-contained as possible, we will recall, in Section 2, the systematic folding procedures from Chapter 4 of [2] that enabled us to approximate, to any degree of accuracy desired, any regular convex N-gon.1

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References

  1. Coxeter, H. S. M., Regular Polytopes, Macmillan Mathematics Paperbacks, New York (1963).

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  2. Hilton, Peter, Derek Holton, and Jean Pedersen, Mathematical Reflections — In a Room With Many Mirrors, 2nd printing, Springer-Verlag NY, 1998.

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  3. Hilton, Peter, and Jean Pedersen, Descartes, Euler, Poincaré, Poly a and polyhedra, UEnseign. Math. 27 (1981), 327–343.

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  4. Hilton, Peter, and Jean Pedersen, Approximating any regular polygon by folding paper; An interplay of geometry, analysis and number theory, Math. Mag. 56 (1983), 141–155.

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  8. Hilton, Peter, and Jean Pedersen, Build Your Own Polyhedra, Addison-Wesley, Menlo Park, California (1987, reprinted 1994,1999), 175 pp.

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Hilton, P., Holton, D., Pedersen, J. (2002). Paper-Folding, Polyhedra-Building, and Number Theory. In: Mathematical Vistas. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3681-6_4

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  • DOI: https://doi.org/10.1007/978-1-4757-3681-6_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2867-2

  • Online ISBN: 978-1-4757-3681-6

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