A Braid Box

2026/04/16 by Blake K Winter, Amanda Taylor Lipnicki · 1 voice · 1 citation
Mathematics · #math.HO #math.AT #math.GT

paper · pdf

Abstract

We give a method for constructing an interactive art piece which illustrates two different definitions of the braid groups, along with their faithful action on the free group. The box also demonstrates how all motions of points in the plane can be realized by motions in a single T-shaped subspace of the plane. This helps students and those who are not specialists in algebraic topology to understand these important topological objects.

Citations

• The book thickness of a graph
• A classifying invariant of knots, the knot quandle
• Theory of Braids

Cited by

• Meeting Solomon Marcus

Discussions

• Blake K Winter, Amanda Taylor Lipnicki: A Braid Box https://arxiv.org/abs/2604.20884 https://arxiv.org/pdf/2604.20884 https://arxiv.org/html/2604.20884 [bsky, 0 points, 0 comments]

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