Literature DB >> 17301480

Tangled (up in) cubes.

S T Hyde1, G E Schröder-Turk.   

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].

Year:  2007        PMID: 17301480     DOI: 10.1107/S0108767306052421

Source DB:  PubMed          Journal:  Acta Crystallogr A        ISSN: 0108-7673            Impact factor:   2.290


  3 in total

1.  Trading spaces: building three-dimensional nets from two-dimensional tilings.

Authors:  Toen Castle; Myfanwy E Evans; Stephen T Hyde; Stuart Ramsden; Vanessa Robins
Journal:  Interface Focus       Date:  2012-01-25       Impact factor: 3.906

2.  A new Euler's formula for DNA polyhedra.

Authors:  Guang Hu; Wen-Yuan Qiu; Arnout Ceulemans
Journal:  PLoS One       Date:  2011-10-17       Impact factor: 3.240

3.  Symmetric tangled Platonic polyhedra.

Authors:  Stephen T Hyde; Myfanwy E Evans
Journal:  Proc Natl Acad Sci U S A       Date:  2022-01-04       Impact factor: 11.205

  3 in total

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