Tricolorability

Tricolorability is an isotopy invariant, and hence can be used to distinguish between two different (non-isotopic) knots.

In these rules a strand in a knot diagram will be a piece of the string that goes from one undercrossing to the next.

"[2] Here is an example of how to color a knot in accordance of the rules of tricolorability.

By convention, knot theorists use the colors red, green, and blue.

This can be proven for tame knots by examining Reidemeister moves.

If the torus knot/link denoted by (m,n) is tricolorable, then so are (j*m,i*n) and (i*n,j*m) for any natural numbers i and j.