Knots and Involutions.
Richard Hartley (1980)
Mathematische Zeitschrift
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Richard Hartley (1980)
Mathematische Zeitschrift
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Ronald Fintushel, Ronald J. Stern (1980)
Mathematische Zeitschrift
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G. Ananda Swarup (1971)
Mathematische Zeitschrift
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Dugopolski, Mark J. (1985)
International Journal of Mathematics and Mathematical Sciences
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C. Kearton, E. Bayer-Fluckiger (1989)
Mathematische Zeitschrift
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Ying-Qing Wu (1993)
Mathematische Annalen
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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.
Hendricks, Jacob (2004)
Algebraic & Geometric Topology
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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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Vaughan Jones, Józef Przytycki (1998)
Banach Center Publications
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We show that Lissajous knots are equivalent to billiard knots in a cube. We consider also knots in general 3-dimensional billiard tables. We analyse symmetry of knots in billiard tables and show in particular that the Alexander polynomial of a Lissajous knot is a square modulo 2.
Mulazzani, Michele (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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