Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 45, No. 2, pp. 527-530 (2004)

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Trefoil knots with tritangent planes

Erhard Heil

Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstraße 7, D-64289 Darmstadt, e-mail: heil@mathematik.tu-darmstadt.de

Abstract: As we know, there are examples of trefoil knots without tritangent planes. Here we show that trefoil knots of the familiar shape always have such planes. We relate this result to the search for the minimum number of vertices.

Keywords: tritangent plane, trefoil knot, vertex theorem

Classification (MSC2000): 53A04

Full text of the article:

Electronic version published on: 9 Sep 2004. This page was last modified: 4 May 2006.

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