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1. Arithmetic and analytic properties of paper folding sequences

Author

M. Mendès France and A.J. van der Poorten

Subjects
Fold (higher-order function), General Mathematics, Uncountable set, Folding (DSP implementation), Transcendental number, Arithmetic, Fourier series, Mathematics
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.

Published
1981

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