Figure 2From: Coloring the Mu transpososomeA.) An example of a tangle equation. B.) A solution to the tangle equation in (A). C.) The tangle equation from (A) where the tangle in (B) has been substituted for the tangle unknown T showing that the tangle in (B) is a solution to the tangle equation in (A). D.) A tangle which is not a solution to the tangle equation in (A). E.) When we plug the tangle in (D) into the equation in (A), we see that the three crossing tangle cannot result in a four crossing link for this equation. Hence this three crossing tangle is not a solution to the tangle equation in (A).Back to article page