We always ignore the actual shape of a Möbius strip because the reason it's interesting is its topology.
Mahadevan and Keller cast elegance to the wind and numerically solved the resting shape of a Möbius strip: http://read.somethingorotherwhatever.com/entry/Mahadevan1993
A Mastodon instance for maths people. The kind of people who make \(\pi z^2 \times a\) jokes.
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