Torus Knots with Polygonal Faces

Year: 2014 Authors: Chern Chuang; Bih-Yaw Jin

Core claim

Torus knots can be modeled with minimally strained polygonal carbon-tube structures, including a general construction and trefoil variants inspired by Escher and realized with mathematical beading.

Topics

torus knots, carbon nanotubes, polygonal faces, mathematical beading, beaded molecules

Domains

knot theory, topology, polyhedral combinatorics, geometric parametrization, mathematical art, sculptural modeling, Escher-inspired design, craft-based visualization

Methods

torus-to-helical shifting, CNT scaffold construction, polygonal tiling, beaded model fabrication

Media

carbon nanotubes, fullerenes, beads, hexagons and heptagons

Source status

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