An algorithm for generating a family of alternating knots (Q415783)
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scientific article; zbMATH DE number 6031962
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An algorithm for generating a family of alternating knots |
scientific article; zbMATH DE number 6031962 |
Statements
An algorithm for generating a family of alternating knots (English)
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9 May 2012
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Summary: An algorithm for generating a family of alternating knots (which are described by means of a chain code) is presented. The family of alternating knots is represented on the cubic lattice, that is, each alternating knot is composed of constant orthogonal straight-line segments and is described by means of a chain code. This chain code is represented by a numerical string of finite length over a finite alphabet, allowing the usage of formal-language techniques for alternating-knot representation. When an alternating knot is described by a chain, it is possible to obtain its mirror image in an easy way. Also, we have a compression efficiency for representing alternating knots, because chain codes preserve information and allow a considerable data reduction.
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alternating knots
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algorithm
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cubic lattice
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chain code
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mirror image
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