Today’s Image of the Week comes from a study of knot probabilities from the United States; University of Georgia, and Wake Forest University. Jason 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.

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

This work is licensed under a Creative Commons Attribution 3.0 Unported License

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

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Categories: Journal of Physics A: Mathematical and Theoretical

Tags: Image of the week, Knots, Mathematical physics