Tangled (up in) cubes

S. T. Hyde; G. E. Schröder-Turk

doi:10.1107/S0108767306052421

Tangled (up in) cubes

S. T. Hyde^*, G. E. Schröder-Turk

^*Corresponding author for this work

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

15 Citations (Scopus)

Abstract

The 'simplest' entanglements of the graph of edges of the cube are enumerated, forming two-cell {6,3} (hexagonal mesh) complexes on the genus-one two-dimensional torus. Five chiral pairs of knotted graphs are found. The examples contain non-trivial knotted and/or linked subgraphs [(2,2), (2,4) torus links and (3,2), (4,3) torus knots].

Original language	English
Article number	au5045
Pages (from-to)	186-197
Number of pages	12
Journal	Acta Crystallographica Section A: Foundations of Crystallography
Volume	63
Issue number	2
DOIs	https://doi.org/10.1107/S0108767306052421
Publication status	Published - 1 Mar 2007

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10.1107/S0108767306052421

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abstract = "The 'simplest' entanglements of the graph of edges of the cube are enumerated, forming two-cell \{6,3\} (hexagonal mesh) complexes on the genus-one two-dimensional torus. Five chiral pairs of knotted graphs are found. The examples contain non-trivial knotted and/or linked subgraphs [(2,2), (2,4) torus links and (3,2), (4,3) torus knots].",

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AB - The 'simplest' entanglements of the graph of edges of the cube are enumerated, forming two-cell {6,3} (hexagonal mesh) complexes on the genus-one two-dimensional torus. Five chiral pairs of knotted graphs are found. The examples contain non-trivial knotted and/or linked subgraphs [(2,2), (2,4) torus links and (3,2), (4,3) torus knots].

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Tangled (up in) cubes

Abstract

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