منابع مشابه
Lissajous Knots and Knots with Lissajous Projections
Knots in R which may be parameterized by a single cosine function in each coordinate are called Lissajous knots. We show that twist knots are Lissajous knots if and only if their Arf invariants are zero. We further prove that all 2-bridge knots and all (3, q)-torus knots have Lissajous projections.
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Killing appears to perpetuate itself even in the absence of retaliation. This phenomenon may occur in part as a means to justify prior killing and so ease the threat of prior killing. In addition, this effect should arise particularly when a killer perceives similarity to the victims because similarity should exacerbate threat from killing. To examine these ideas, the authors developed a bug-ki...
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The first synthetic molecular trefoil knot was prepared in the late 1980s. However, it is only in the last few years that more complex small-molecule knot topologies have been realized through chemical synthesis. The steric restrictions imposed on molecular strands by knotting can impart significant physical and chemical properties, including chirality, strong and selective ion binding, and cat...
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Wild knots, a class of knots which cannot be represented by polygonal paths in 3-dimensional space, are investigated as an embellishment to the Celtic style of ornamental knotwork. Wild knotwork designs are compared to fractal knotwork designs and the traditional technique of N-interlacement. It is shown that all three styles may co-exist in one design. r 2006 Elsevier Ltd. All rights reserved.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1968
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1968-0219055-4