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Volumn , Issue , 2005, Pages 293-321

Ropelength of tight polygonal knots

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EID: 58849147157     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812703460_0016     Document Type: Chapter
Times cited : (7)

References (23)
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  • 3
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    • of Contemporary Mathematics, Providence, RI, Amer. Math. Soc, Amer. Math. Soc. Physical Knotting and Linking (Las Vegas, NV, 2001)
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  • 4
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    • On the minimum ropelength of knots and links
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    • Cantarella, J.1    Kusner, R.B.2    Sullivan, J.M.3
  • 10
    • 0033608997 scopus 로고    scopus 로고
    • Global curvature, thickness, and the ideal shapes of knots
    • electronic
    • Oscar Gonzalez and John H. Maddocks. Global curvature, thickness, and the ideal shapes of knots. Proc. Natl. Acad. Set. USA, 96(9):4769-4773 (electronic), 1999.
    • (1999) Proc. Natl. Acad. Set. USA , vol.96 , Issue.9 , pp. 4769-4773
    • Gonzalez, O.1    Maddocks, J.H.2
  • 14
    • 0037431127 scopus 로고    scopus 로고
    • Energy, ropelength, and other physical aspects of equilateral knots
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    • (2003) J. Comput. Phys. , vol.186 , Issue.2 , pp. 426-456
    • Millett, K.C.1    Rawdon, E.J.2
  • 15
    • 0002828937 scopus 로고    scopus 로고
    • In search of ideal knots
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    • (1998) Ideal knots , pp. 20-41
    • Pierański, P.1
  • 17
    • 0002148984 scopus 로고    scopus 로고
    • Approximating the thickness of a knot
    • World Sci. Publishing, River Edge, NJ
    • Eric J. Rawdon. Approximating the thickness of a knot. In Ideal knots, pages 143-150. World Sci. Publishing, River Edge, NJ, 1998.
    • (1998) Ideal knots , pp. 143-150
    • Rawdon, E.J.1
  • 18
    • 0034420282 scopus 로고    scopus 로고
    • Approximating smooth thickness
    • Eric J. Rawdon. Approximating smooth thickness. J. Knot Theory Ramifications, 9(1):113-145, 2000.
    • (2000) J. Knot Theory Ramifications , vol.9 , Issue.1 , pp. 113-145
    • Rawdon, E.J.1
  • 19
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    • Can computers discover ideal knots?
    • Eric J. Rawdon. Can computers discover ideal knots? Experiment. Math., 12(3):287-302, 2003.
    • (2003) Experiment. Math. , vol.12 , Issue.3 , pp. 287-302
    • Rawdon, E.J.1
  • 20
    • 85086737941 scopus 로고    scopus 로고
    • Physical knots
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    • (2001) 3 , vol.304 , pp. 1-30
    • Simon, J.1
  • 22
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    • A. Stasiak, V. Katritch, and L. H. Kauffman, editors. Ideal knots. World Scientific Publishing Co. Inc., River Edge, NJ, 1998.
    • (1998) Ideal knots
    • Stasiak, A.1    Katritch, V.2    Kauffman, L.H.3
  • 23
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    • Ideal knots and their relation to the physics of real knots
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    • (1998) Ideal knots , pp. 1-19
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