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Polygonal Knot

A Knot equivalent to a Polygon in $\Bbb{R}^3$, also called a Tame Knot. For a polygonal knot $K$, there exists a Plane such that the orthogonal projection $\pi$ on it satisfies the following conditions:

1. The image $\pi(K)$ has no multiple points other than a Finite number of double points.

2. The projections of the vertices of $K$ are not double points of $\pi(K)$.
Such a projection $\pi(K)$ is called a regular knot projection.


Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 735, 1980.

© 1996-9 Eric W. Weisstein