Abstract
We show how, under surprisingly weak assumptions, one can split a planar curve into three arcs and rearrange them (matching tangent directions) to obtain a closed curve. We also generalize this construction to curves split into k arcs and comment on what can be achieved by rearranging arcs for a curve in higher dimensions. Proofs involve only tools from elementary topology, and the paper is mostly self-contained.
Originalsprache | englisch |
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Seiten (von - bis) | 197-208 |
Seitenumfang | 12 |
Fachzeitschrift | Colloquium Mathematicum |
Jahrgang | 169 |
Ausgabenummer | 2 |
DOIs | |
Publikationsstatus | Veröffentlicht - 2022 |
ASJC Scopus subject areas
- Mathematik (insg.)
Fields of Expertise
- Information, Communication & Computing