Collapse: A Fibonacci and sturmian game

Dennis D A Epple; Jason Siefken

doi:10.4169/amer.math.monthly.122.6.515

Collapse: A Fibonacci and sturmian game

Dennis D A Epple, Jason Siefken

Mathematics

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

1 Scopus citations

Abstract

We explore the properties of Collapse, a number game closely related to Fibonacci words. In doing so, we fully classify the set of periods (minimal or not) of finite Fibonacci words via careful examination of the Exceptional (sometimes called singular) finite Fibonacci words.

Original language	English (US)
Pages (from-to)	515-527
Number of pages	13
Journal	American Mathematical Monthly
Volume	122
Issue number	6
DOIs	https://doi.org/10.4169/amer.math.monthly.122.6.515
State	Published - Jun 1 2015

ASJC Scopus subject areas

General Mathematics

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10.4169/amer.math.monthly.122.6.515

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title = "Collapse: A Fibonacci and sturmian game",

abstract = "We explore the properties of Collapse, a number game closely related to Fibonacci words. In doing so, we fully classify the set of periods (minimal or not) of finite Fibonacci words via careful examination of the Exceptional (sometimes called singular) finite Fibonacci words.",

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Collapse: A Fibonacci and sturmian game

Abstract

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