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PreprintCC BY 4.0arXiv

How Many Sides Does a Tire Have?

Abstract

How many sides does a tire have: two, three, or only one? The question is a joke only until we ask what the word ``side'' is supposed to measure. This article follows three reasonable answers into one small piece of topology: a loop on a tire can have no endpoints and still be a border of a chosen region. The point is not to find the official number of sides, but to see why the count changes when the model changes.

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BibTeX
@misc{stojanovic2026many,
  title = {{How Many Sides Does a Tire Have?}},
  author = {Vanja Stojanović},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.13733},
  eprint = {2608.13733},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.13733},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - How Many Sides Does a Tire Have?
AU  - Vanja Stojanović
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2608.13733
UR  - https://arxiv.org/abs/2608.13733
AB  - How many sides does a tire have: two, three, or only one? The question is a joke only until we ask what the word ``side'' is supposed to measure. This article follows three reasonable answers into one small piece of topology: a loop on a tire can have no endpoints and still be a border of a chosen region. The point is not to find the official number of sides, but to see why the count changes when the model changes.
ER  -