RecordNumber
2016
Author
Chuang, Chern
Crop_Body
Chern Chuang, Bih-Yaw Jin
Title of Article
Torus Knots with Polygonal Faces
Title Of Journal
Bridges
Publication Year
2014
Page
59-64
Notes
ProceedingsofBridges2014:Mathematics,Music,Art,Architecture,Culture , براي مشاهده و دانلود مقاله به لينك مدارك مرتبط مراجعه نماييد
Abstract
We review several methods of constructing models of torus knots with non-planar polygonal faces, with the majority of hexagons and some non-hexagons. These methods were developed by the authors throughout recent years, albeit mostly in the context of chemical research on carbon nanostructures. The resulting hypothetical molecular structures are predicted to be chemically stable if care is taken in arranging non-hexagons in the midst of hexagons. Among them, a general scheme that is applicable to arbitrary torus knots (p; q) with p < q is presented. For the simplest nontrivial case, a trefoil knot, two additional routes can be drawn. Noteworthily, one of them is inspired by Escher’s artwork Knots. These models are realized physically with the technique of mathematical beading.
URL
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