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BINARY SIGNED-DIGIT REPRESENTATIONS IN PAPERFOLDING

Part of: Elementary number theory Sequences and sets

Published online by Cambridge University Press:  10 June 2022

BRUCE BATES ,
MARTIN BUNDER  and
KEITH TOGNETTI
BRUCE BATES*
Affiliation:
School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia
MARTIN BUNDER
Affiliation:
School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia e-mail: mbunder@uow.edu.au
KEITH TOGNETTI
Affiliation:
School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia e-mail: tognetti@uow.edu.au
*
e-mail: bbates@uow.edu.au
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Abstract

When a page, represented by the interval $[0,1]$ , is folded right over left $n $ times, the right-hand fold contains a sequence of points. We specify these points using two different representation techniques, both involving binary signed-digit representations.

Keywords

paperfoldingnormal additive factorisationodd-digit factorisationbinary signed-digit representation

MSC classification

Primary: 11A63: Radix representation; digital problems
Secondary: 11B85: Automata sequences
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 106 , Issue 3 , December 2022 , pp. 363 - 375
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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