Image of the Week: Two Faces

Today’s Image of the Week comes from a study of knot probabilities from the United States; University of Georgia, and Wake Forest UniversityJason Cantarella et al study knot probabilities in random graphs.  In their recent JPhysA paper they look at knot diagrams not as convenient combinatorial representations of space curves, but as a probability space in their own right.

Two faces which share more than one edge must create an opportunity for a cut and splice.

Two faces which share more than one edge must create an opportunity for a cut and splice.

The images above show that two faces which share more than one edge must create an opportunity for a cut and splice.  Can you spot how this comes about?

Read More: Knot probabilities in random diagrams


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Front and article image taken from Jason Cantarella et al 2016 J. Phys. A: Math. Theor. 49 405001, © IOP Publishing, All Rights Reserved.



Categories: Journal of Physics A: Mathematical and Theoretical

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