Arithmetic and analytic properties of paper folding sequences

M. Mendès France; A. J. Van Der Poorten

doi:10.1017/S0004972700007486

Arithmetic and analytic properties of paper folding sequences

M. Mendès France, A. J. Van Der Poorten

Macquarie University Administration Unit

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

Abstract

The mechanical procedure of paper folding generates an uncountable family of infinite sequences of fold patterns. We obtain the associated Fourier series and show that the sequences are almost periodic and hence deterministic. Further, we show that paper folding numbers defined by the sequences are all transcendental.

Original language	English
Pages (from-to)	123-131
Number of pages	9
Journal	Bulletin of the Australian Mathematical Society
Volume	24
Issue number	1
DOIs	https://doi.org/10.1017/S0004972700007486
Publication status	Published - 1981

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Arithmetic and analytic properties of paper folding sequences

Abstract

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