-
3
-
-
0001099892
-
-
Lectures at Knots 96, ed. Suzuki, S., World Scientific Publishing, Singapore
-
G. Buck and J. Simon, Energy and length of knots, in Lectures at Knots 96, ed. Suzuki, S., World Scientific Publishing, Singapore (1997) 219-234.
-
(1997)
Energy and length of knots
, pp. 219-234
-
-
Buck, G.1
Simon, J.2
-
7
-
-
85115943936
-
The rupture of knotted strings under tension
-
G. Dietler, P. Pieranski, S. Kasas and A. Stasiak, The rupture of knotted strings under tension, Contemporary Mathematics 304 (2002) 217-222.
-
(2002)
Contemporary Mathematics
, vol.304
, pp. 217-222
-
-
Dietler, G.1
Pieranski, P.2
Kasas, S.3
Stasiak, A.4
-
10
-
-
0017886919
-
Decomposition of the Linking Number of a Closed Ribbon: A Problem from Molecular Biology
-
F. B. Fuller, Decomposition of the Linking Number of a Closed Ribbon: A Problem from Molecular Biology, Proc. Natl. Acad. Sci. USA 75(8) (1978) 3557-3561.
-
(1978)
Proc. Natl. Acad. Sci. USA
, vol.75
, Issue.8
, pp. 3557-3561
-
-
Fuller, F.B.1
-
12
-
-
0033608997
-
Global curvature, thickness, and the ideal shapes of knots
-
O. Gonzalez and J. H. Maddocks, Global curvature, thickness, and the ideal shapes of knots, Proc. Natl. Acad. Sci. USA 96(9) (1999) 4769-4773.
-
(1999)
Proc. Natl. Acad. Sci. USA
, vol.96
, Issue.9
, pp. 4769-4773
-
-
Gonzalez, O.1
Maddocks, J.H.2
-
13
-
-
0036461761
-
Global curvature and self-contact of nonlinearly elastic curves and rods
-
O. Gonzalez, J. H. Maddocks, F. Schuricht and H. von der Mosel, Global curvature and self-contact of nonlinearly elastic curves and rods, Calc. Var. Partial Differential Equations 14(1) (2002) 29-68.
-
(2002)
Calc. Var. Partial Differential Equations
, vol.14
, Issue.1
, pp. 29-68
-
-
Gonzalez, O.1
Maddocks, J.H.2
Schuricht, F.3
von der Mosel, H.4
-
14
-
-
0345618462
-
Curves, circles, and spheres
-
O. Gonzalez, J. H. Maddocks and J. Smutny, Curves, circles, and spheres, Contemporary Mathematics 304 (2002) 195-215.
-
(2002)
Contemporary Mathematics
, vol.304
, pp. 195-215
-
-
Gonzalez, O.1
Maddocks, J.H.2
Smutny, J.3
-
15
-
-
0029906723
-
Geometry and physics of knots
-
V. Katritch, J. Bednar, D. Michoud, R. G. Scharein, J. Dubochet and A. Stasiak, Geometry and physics of knots, Nature 384 (1996) 142-145.
-
(1996)
Nature
, vol.384
, pp. 142-145
-
-
Katritch, V.1
Bednar, J.2
Michoud, D.3
Scharein, R.G.4
Dubochet, J.5
Stasiak, A.6
-
17
-
-
0000633669
-
Thickness of knots
-
R. A. Litherland, J. Simon, O. Durumeric and E. Rawdon, Thickness of knots, Topology and its Applications 91 (1999) 233-244.
-
(1999)
Topology and its Applications
, vol.91
, pp. 233-244
-
-
Litherland, R.A.1
Simon, J.2
Durumeric, O.3
Rawdon, E.4
-
18
-
-
0034691565
-
Optimal shapes of compact strings
-
A. Maritan, C. Micheletti, A. Trovato and J. R. Banavar, Optimal shapes of compact strings, Nature 406(6793) (2000) 287-290.
-
(2000)
Nature
, vol.406
, Issue.6793
, pp. 287-290
-
-
Maritan, A.1
Micheletti, C.2
Trovato, A.3
Banavar, J.R.4
-
19
-
-
85115931814
-
-
Foundations, Ellis Horwood, Chichester
-
A. W. Nutbourne and R. R. Martin, Differential geometry applied to curve and surface design, Vol. 1: Foundations, Ellis Horwood, Chichester, 1988.
-
(1988)
Differential geometry applied to curve and surface design
, vol.1
-
-
Nutbourne, A.W.1
Martin, R.R.2
-
23
-
-
0035488724
-
Tight open knots
-
P. Pieranski, S. Przybyl and A. Stasiak, Tight open knots, European Physical Journal E, 6(2) (2001) 123-128.
-
(2001)
European Physical Journal E
, vol.6
, Issue.2
, pp. 123-128
-
-
Pieranski, P.1
Przybyl, S.2
Stasiak, A.3
-
26
-
-
1642271520
-
Can computers discover ideal knots?
-
E. J. Rawdon, Can computers discover ideal knots?, Experimental Mathematics, 12#3 (2003), 287-302.
-
(2003)
Experimental Mathematics
, vol.12
, Issue.3
, pp. 287-302
-
-
Rawdon, E.J.1
-
27
-
-
85115946561
-
-
Thickness Or Ropelength Optimizing System
-
E. J. Rawdon, Program TOROS (Thickness Or Ropelength Optimizing System), http://www.mathcs.duq.edu/~rawdon/manual.html
-
Program TOROS
-
-
Rawdon, E.J.1
-
30
-
-
1142276491
-
Characterization of ideal knots
-
F. Schuricht and H. von der Mosel, Characterization of ideal knots, Calc. Var., 19 (2004) 281-305.
-
(2004)
Calc. Var.
, vol.19
, pp. 281-305
-
-
Schuricht, F.1
von der Mosel, H.2
-
32
-
-
0042703782
-
Biarcs in three dimensions
-
Ed. R. R. Martin, Oxford Univ. Press, New York
-
T. J. Sharrock, Biarcs in three dimensions, in The Mathematics of Surfaces II, Ed. R. R. Martin, Oxford Univ. Press, New York, (1987) 395-411.
-
(1987)
The Mathematics of Surfaces II
, pp. 395-411
-
-
Sharrock, T.J.1
-
35
-
-
0003459024
-
-
Ser. Knots Everything 19, World Sei. Publishing, River Edge, NJ
-
A. Stasiak, V. Katritch and L. H. Kauffman (Eds), Ideal knots, Ser. Knots Everything 19, World Sei. Publishing, River Edge, NJ, (1998).
-
(1998)
Ideal knots
-
-
Stasiak, A.1
Katritch, V.2
Kauffman, L.H.3
-
36
-
-
0034691422
-
Best packing in proteins and DNA
-
A. Stasiak and J. H. Maddocks, Best packing in proteins and DNA, Nature 406 (2000) 251-253.
-
(2000)
Nature
, vol.406
, pp. 251-253
-
-
Stasiak, A.1
Maddocks, J.H.2
|