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arXiv · 2608.13733

How Many Sides Does a Tire Have?

Vanja Stojanović
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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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Vanja Stojanović. 2026-08-13. How Many Sides Does a Tire Have?. https://arxiv.org/abs/2608.13733

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