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Trefoil knots with tritangent planes. (English) Zbl 1067.53001

Author’s 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.

MSC:

53A04 Curves in Euclidean and related spaces