Physical Knots: Knotting, Linking, and Folding Geometric Objects in ℝ³ - Contemporary Mathematics
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Published By American Mathematical Society

9780821832004, 9780821878941

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The rupture of knotted strings under tension

Physical Knots: Knotting, Linking, and Folding Geometric Objects in ℝ³ - Contemporary Mathematics ◽

10.1090/conm/304/05196 ◽

2002 ◽

pp. 217-222

Author(s):

Giovanni Dietler ◽

Piotr Pieranski ◽

Sandor Kasas ◽

Andrzej Stasiak

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In search of the ideal trefoil knot

Physical Knots: Knotting, Linking, and Folding Geometric Objects in ℝ³ - Contemporary Mathematics ◽

10.1090/conm/304/05190 ◽

2002 ◽

pp. 153-162 ◽

Author(s):

Piotr Pieranski ◽

Sylwester Przybyl

Keyword(s):

Trefoil Knot ◽

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The probability of knotting in lattice polygons

Physical Knots: Knotting, Linking, and Folding Geometric Objects in ℝ³ - Contemporary Mathematics ◽

10.1090/conm/304/05188 ◽

2002 ◽

pp. 125-135 ◽

Author(s):

E. J. Janse van Rensburg

Keyword(s):

Lattice Polygons

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Topological effects on the average size of random knots

Physical Knots: Knotting, Linking, and Folding Geometric Objects in ℝ³ - Contemporary Mathematics ◽

10.1090/conm/304/05186 ◽

2002 ◽

pp. 93-114 ◽

Author(s):

Tetsuo Deguchi ◽

Miyuki K. Shimamura

Keyword(s):

Average Size ◽

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Approximating ropelength by energy functions

Physical Knots: Knotting, Linking, and Folding Geometric Objects in ℝ³ - Contemporary Mathematics ◽

10.1090/conm/304/05193 ◽

2002 ◽

pp. 181-186 ◽

Author(s):

John M. Sullivan

Keyword(s):

Energy Functions

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Convexifying polygons in 3D: a survey

Physical Knots: Knotting, Linking, and Folding Geometric Objects in ℝ³ - Contemporary Mathematics ◽

10.1090/conm/304/05199 ◽

2002 ◽

pp. 269-285 ◽

Author(s):

Michael Soss ◽

Godfried T. Toussaint

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Curves, circles, and spheres

Physical Knots: Knotting, Linking, and Folding Geometric Objects in ℝ³ - Contemporary Mathematics ◽

10.1090/conm/304/05195 ◽

2002 ◽

pp. 195-215 ◽

Author(s):

O. Gonzalez ◽

J. H. Maddocks ◽

J. Smutny

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The crossing numbers of thick knots and links

Physical Knots: Knotting, Linking, and Folding Geometric Objects in ℝ³ - Contemporary Mathematics ◽

10.1090/conm/304/05191 ◽

2002 ◽

pp. 163-174

Author(s):

Yuanan Diao ◽

Claus Ernst

Keyword(s):

Crossing Numbers ◽

Knots And Links

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Knotting in adsorbing lattice polygons

Physical Knots: Knotting, Linking, and Folding Geometric Objects in ℝ³ - Contemporary Mathematics ◽

10.1090/conm/304/05189 ◽

2002 ◽

pp. 137-151 ◽

Author(s):

E. J. Janse van Rensburg

Keyword(s):

Lattice Polygons

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Upper bounds for equilateral stick numbers

Physical Knots: Knotting, Linking, and Folding Geometric Objects in ℝ³ - Contemporary Mathematics ◽

10.1090/conm/304/05184 ◽

2002 ◽

pp. 55-75 ◽

Author(s):

Eric J. Rawdon ◽

Robert G. Scharein

Keyword(s):

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