Laocoön’s sea serpent knot

In the middle of the Pacific ocean, an Ashley knot on the horizon. Maybe, Laocoön’s sea serpent on his way to Troy followed by two bundles of squids? Greeks love calamari!

Actually, this knot was developed by American knot expert Clifford Ashley in 1910. It was inspired by a stopper, a kind of a figure 8 knot, he saw on an oyster fishing boat. Add a sprinkle of Gauss code on the knot and that’s what it transforms into.

The Gauss code represents a knot with a sequence of integers. However, rather than every crossing being represented by two different numbers, crossings are labeled with only one number. When the crossing is an overcrossing, a positive number is listed. At an undercrossing, a negative number.

The ocean is an endless source of inspiration!

More on Ashley knot and the Knot-geometry project on Patreon

05-31

 

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