High Quality Content by WIKIPEDIA articles! In the mathematical field of knot theory, the tricolorability of a knot refers to the ability of a knot to be colored with three colors subject to certain rules. Tricolorability is an isotopy invariant, and hence can be used to distinguish between two different (non-isotopic) knots. In particular, since the unknot is not tricolorable, any tricolorable knot is necessarily nontrivial. A knot is tricolorable if each strand of the knot diagram can be colored one of three colors, subject to the following rules: 1. At least two colors must be used, and, 2. At each crossing, the three incident strands are either all the same color or all different colors.

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