Turk's-head Knots (Braided Band Knots) a Mathematical Modeling
Skip Pennock (2005)
Visual Mathematics
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Skip Pennock (2005)
Visual Mathematics
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Perko, Kenneth A. jr. (1979)
Portugaliae mathematica
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Schmitt, Peter (1997)
Beiträge zur Algebra und Geometrie
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S. Jablan, R. Sazdanovic (2003)
Visual Mathematics
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Dennis Roseman (1975)
Fundamenta Mathematicae
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Mulazzani, Michele (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Hendricks, Jacob (2004)
Algebraic & Geometric Topology
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P. V. Koseleff, D. Pecker (2014)
Banach Center Publications
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We show that every knot can be realized as a billiard trajectory in a convex prism. This proves a conjecture of Jones and Przytycki.
Dugopolski, Mark J. (1985)
International Journal of Mathematics and Mathematical Sciences
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Yasutaka Nakanishi (1996)
Revista Matemática de la Universidad Complutense de Madrid
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This note is a continuation of a former paper, where we have discussed the unknotting number of knots with respect to knot diagrams. We will show that for every minimum-crossing knot-diagram among all unknotting-number-one two-bridge knot there exist crossings whose exchange yields the trivial knot, if the third Tait conjecture is true.
Corinne Cerf (2002)
Visual Mathematics
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Monica Meissen (1998)
Banach Center Publications
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The minimal number of edges required to form a knot or link of type K is the edge number of K, and is denoted e(K). When knots are drawn with edges, they are appropriately called piecewise-linear or PL knots. This paper presents some edge number results for PL knots. Included are illustrations of and integer coordinates for the vertices of several prime PL knots.
Ying-Qing Wu (1993)
Mathematische Annalen
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