One-dimensional quasi-crystals and sequences of ones and zeros

Steven Y. Litvin; Daniel B. Litvin

doi:10.1016/0375-9601(86)90353-1

One-dimensional quasi-crystals and sequences of ones and zeros

Steven Y. Litvin, Daniel B. Litvin

Division of Science (Berks)

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

1 Scopus citations

Abstract

We derive the relationship between one-dimensional quasi-crystals and sequences of ones and zeros introduced by de Bruijn. Properties of these sequences are used to derive explicit expressions for the positions of the quasi-crystal atoms, for nearest neighbor distances, and a classification in which all identical but shifted quasi-crystals are classified into a single class.

Original language	English (US)
Pages (from-to)	39-42
Number of pages	4
Journal	Physics Letters A
Volume	116
Issue number	1
DOIs	https://doi.org/10.1016/0375-9601(86)90353-1
State	Published - May 19 1986

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1016/0375-9601(86)90353-1

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abstract = "We derive the relationship between one-dimensional quasi-crystals and sequences of ones and zeros introduced by de Bruijn. Properties of these sequences are used to derive explicit expressions for the positions of the quasi-crystal atoms, for nearest neighbor distances, and a classification in which all identical but shifted quasi-crystals are classified into a single class.",

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AU - Litvin, Daniel B.

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N2 - We derive the relationship between one-dimensional quasi-crystals and sequences of ones and zeros introduced by de Bruijn. Properties of these sequences are used to derive explicit expressions for the positions of the quasi-crystal atoms, for nearest neighbor distances, and a classification in which all identical but shifted quasi-crystals are classified into a single class.

AB - We derive the relationship between one-dimensional quasi-crystals and sequences of ones and zeros introduced by de Bruijn. Properties of these sequences are used to derive explicit expressions for the positions of the quasi-crystal atoms, for nearest neighbor distances, and a classification in which all identical but shifted quasi-crystals are classified into a single class.

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SP - 39

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JO - Physics Letters A

JF - Physics Letters A

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One-dimensional quasi-crystals and sequences of ones and zeros

Abstract

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