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Questions tagged [knot-theory]

Knot-theory is a branch of topology that studies mathematical knots. This tag is for challenges regarding the manipulation of mathematical knots.

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A Knotty situation

Given the Dowker notation of a knot and its crossing signs, calculate its bracket polynomial. Although there are more technical definitions, for this challenge it is enough to think of a knot as ...
222 views

Number of prime knots with n crossings

A prime knot is: a non-trivial knot which cannot be written as the knot sum of two non-trivial knots. Explanation of a knot-sum: put the two knots adjacent, ... then draw two lines between them, ...
836 views

A Rather Knotty Conundrum

Write a program to draw a 2-D diagram of a knot based on the knot's structure. A knot is exactly what it sounds like: a loop of rope that's tied up. In mathematics, a knot diagram shows where a piece ...