How would one go about computing the fundamental group of the Möbius strip using its polygon representation?
2026-04-04 17:50:53.1775325053
Computation of fundamental group of the Möbius strip
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It seems like the fastest way to solve this is to note that the Mobius strip is homotopy-equivalent to the circle, which has fundamental group $\mathbb{Z}$. Intuitively, draw a line in the middle of the Mobius strip that makes a complete circle around it. Then you map the strip onto the central circle - this is a homotopy equivalence.