Ideal trefoil knot

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The ideal trefoil knot

The most tight conformation of the trefoil knot found by the SONO algorithm is presented. Structure of the set of its self-contact points is

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1 The ideal trefoil knot

The most tight conformation of the trefoil knot found by the SONO algorithm is presented. Structure of the set of its self-contact points is analyzed.

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A Spacefilling Trefoil Knot

This note describes a (polyhedral) prototile which is topologically equivalent to a trefoil knot and admits a (monohedral) tiling of 3-space.

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Length of the tightest trefoil knot.

The physical sense of tight knots provided by the SONO algorithm is discussed. A method allowing one to predict their length is presented. An upper bound for the minimum length of a smooth trefoil knot is determined.

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Polarization-selective Surfaces Composed of Trefoil Knot Elements

In this paper, we demonstrate that the trefoil knot has the unique property that its forward scattering for circularly polarized wa ̈es exhibits a strong dependence on the handedness of the polarization. Both a single knot element as well as an array of these knots show this ( ) property which could be used in a polarization-selectï e surface PSS . Q 1999 John Wiley & Sons, Inc. Microwave Opt Te...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2001

ISSN: 1063-651X,1095-3787

DOI: 10.1103/physreve.64.031801