Polygonal Knot

A knot equivalent to a polygon in , also called a tame knot. For a polygonal knot , there exists a plane such that the orthogonal projection  on it satisfies the following conditions:

1. The image  has no multiple points other than a finite number of double points.

2. The projections of the vertices of  are not double points of .

Such a projection  is called a regular knot projection.

REFERENCES:

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