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## Representing Numbers Using Fibonacci Variants

*Stephen K. Lucas*

### in The Mathematics of Various Entertaining Subjects: Research in Recreational Math

- Published in print:
- 2015
- Published Online:
- October 2017
- ISBN:
- 9780691164038
- eISBN:
- 9781400881338
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691164038.003.0017
- Subject:
- Mathematics, History of Mathematics

This chapter introduces the Zeckendorf representation of a Fibonacci sequence, a form of a natural number which can be easily found using a greedy algorithm: given a number, subtract the largest ... More

## The Cookie Monster Problem

*Leigh Marie Braswell and Tanya Khovanova*

### in The Mathematics of Various Entertaining Subjects: Research in Recreational Math

- Published in print:
- 2015
- Published Online:
- October 2017
- ISBN:
- 9780691164038
- eISBN:
- 9781400881338
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691164038.003.0016
- Subject:
- Mathematics, History of Mathematics

This chapter examines the problem of the “Cookie Monster number.” In 2002, Cookie Monster® appeared in the book The Inquisitive Problem Solver by Vaderlind, Guy, and Larson, where the hungry monster ... More

## Quasi-Periodicity and Chaos

*Robert C. Hilborn*

### in Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers

- Published in print:
- 2000
- Published Online:
- January 2010
- ISBN:
- 9780198507239
- eISBN:
- 9780191709340
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198507239.003.0006
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter explores the quasi-periodicity route to chaos in which the behaviour is characterized by two (or more) incommensurate frequencies. Poincare sections, frequency-locking, winding numbers, ... More

## Higher-dimensional approach

*Walter Steurer and Julia Dshemuchadse*

### in Intermetallics: Structures, Properties, and Statistics

- Published in print:
- 2016
- Published Online:
- September 2016
- ISBN:
- 9780198714552
- eISBN:
- 9780191782848
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198714552.003.0004
- Subject:
- Physics, Crystallography

To understand the structural ordering of aperiodic crystals such as incommensurately modulated phases, composite crystals, quasicrystals and their structurally closely related rational approximants, ... More

## Golden Means: Music, Translation and the Patersonnet

*Hugh Haughton*

### in Don Paterson: Contemporary Critical Essays

- Published in print:
- 2014
- Published Online:
- September 2015
- ISBN:
- 9780748669417
- eISBN:
- 9781474406338
- Item type:
- chapter

- Publisher:
- Edinburgh University Press
- DOI:
- 10.3366/edinburgh/9780748669417.003.0002
- Subject:
- Literature, 20th-century and Contemporary Literature

This chapter explores Paterson's derivations from and implementations of fourteen-line form, in the light of his quasi-mathematical explanations for its ubiquity. Paterson has paid special attention ... More

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