Piecewise-linear embeddings of knots and links with rotoinversion symmetry

Michael O’Keeffe; Michael M.J. Treacy

doi:10.1107/S2053273321006136

Piecewise-linear embeddings of knots and links with rotoinversion symmetry

Michael O’Keeffe, Michael M.J. Treacy

Physics

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

2 Scopus citations

Abstract

This article describes the simplest members of an infinite family of knots and links that have achiral piecewise-linear embeddings in which linear segments (sticks) meet at corners. The structures described are all corner- and stick-2transitive – the smallest possible for achiral knots.

Original language	English (US)
Pages (from-to)	392-398
Number of pages	7
Journal	Acta Crystallographica Section A: Foundations and Advances
Volume	77
Issue number	Part5
DOIs	https://doi.org/10.1107/S2053273321006136
State	Published - 2021

Keywords

Decussate structures
Knots
Links
Piecewise-linear embedding

ASJC Scopus subject areas

Structural Biology
Biochemistry
General Materials Science
Condensed Matter Physics
Physical and Theoretical Chemistry
Inorganic Chemistry

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10.1107/S2053273321006136

Cite this

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title = "Piecewise-linear embeddings of knots and links with rotoinversion symmetry",

abstract = "This article describes the simplest members of an infinite family of knots and links that have achiral piecewise-linear embeddings in which linear segments (sticks) meet at corners. The structures described are all corner- and stick-2transitive – the smallest possible for achiral knots.",

keywords = "Decussate structures, Knots, Links, Piecewise-linear embedding",

author = "Michael O{\textquoteright}Keeffe and Treacy, {Michael M.J.}",

year = "2021",

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AU - O’Keeffe, Michael

AU - Treacy, Michael M.J.

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AB - This article describes the simplest members of an infinite family of knots and links that have achiral piecewise-linear embeddings in which linear segments (sticks) meet at corners. The structures described are all corner- and stick-2transitive – the smallest possible for achiral knots.

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KW - Knots

KW - Links

KW - Piecewise-linear embedding

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JO - Acta Crystallographica Section A: Foundations and Advances

JF - Acta Crystallographica Section A: Foundations and Advances

IS - Part5

ER -

Piecewise-linear embeddings of knots and links with rotoinversion symmetry

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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