A Braid Box
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914500320428032 |
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| author | Winter, Blake K Lipnicki, Amanda Taylor |
| author_facet | Winter, Blake K Lipnicki, Amanda Taylor |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_20884 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Braid Box Winter, Blake K Lipnicki, Amanda Taylor History and Overview Algebraic Topology Geometric Topology 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. |
| title | A Braid Box |
| topic | History and Overview Algebraic Topology Geometric Topology |
| url | https://arxiv.org/abs/2604.20884 |