Tangled (up in)cubes

Hyde, Stephen; Schroder-Turk, Gerd

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Tangled (up in)cubes

Date

2007

Authors

Hyde, Stephen

Schroder-Turk, Gerd

Publisher

Munksgaard International Publishers

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].