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Piecewise‐linear embeddings of knots and links with rotoinversion symmetry
Author(s) -
O'Keeffe Michael,
Treacy Michael M. J.
Publication year - 2021
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s2053273321006136
Subject(s) - piecewise linear function , transitive relation , mathematics , symmetry (geometry) , piecewise , combinatorics , pure mathematics , piecewise linear manifold , geometry , mathematical analysis
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‐2‐transitive – the smallest possible for achiral knots.
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