Category
page 1Tricolorable knots and links
trefoil knot
simplest non-trivial closed knot with three crossings
tricolorability
thumb|right|A tricolored trefoil knot.In the mathematical field of knot theory, the tricolorability of a knot is 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.
square knot
connected sum of two trefoil knots with opposite chirality
unlink
In the mathematical field of knot theory, an unlink is a link that is equivalent (under ambient isotopy) to finitely many disjoint circles in the plane.
stevedore knot
mathematical knot with crossing number 6
granny knot
connected sum of two trefoil knots with same chirality
7₄
mathematical knot with crossing number 7