Abstract

We compare term by term the paperfolding sequence with a copy displaced by d terms to obtain the matching fraction M (d). It is shown that M(d) has an interesting structure in that if d=2b(1+2s), then M(d)= |1-3/2b+1| thereby generating horizontal bands for each value of b. That is, M(d) depends only on b.

Highlights

  • Follow this and additional works at: https://ro.uow.edu.au/infopapers Part of the Physical Sciences and Mathematics Commons

  • Applicable Analysis and Discrete Mathematics, 5 (1), 46-54. This journal article is available at Research Online: https://ro.uow.edu.au/infopapers/2604

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Summary

Introduction

Follow this and additional works at: https://ro.uow.edu.au/infopapers Part of the Physical Sciences and Mathematics Commons Recommended Citation Bates, Bruce; Bunder, Martin; and Tognetti, Keith: Self-matching bands in the paperfolding sequence 2011, 46-54.

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