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POINTS IN A FOLD

Part of: Elementary number theory

Published online by Cambridge University Press:  10 January 2022

MARTIN BUNDER ,
KEITH TOGNETTI  and
BRUCE BATES
MARTIN BUNDER*
Affiliation:
School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia
KEITH TOGNETTI
Affiliation:
School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia e-mail: [email protected]
BRUCE BATES
Affiliation:
School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia e-mail: [email protected]
*
e-mail: [email protected]
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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 and the order in which they appear in each fold. We also determine exactly where in the folded structure any point in $[0,1]$ appears and, given any point on the bottom line of the structure, which point lies at each level above it.

Keywords

paperfoldingprefoldsfolds

MSC classification

Primary: 11A55: Continued fractions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 106 , Issue 1 , August 2022 , pp. 7 - 17
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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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References

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