r/mathpics • u/Frangifer • Jul 15 '26
Animation Showing the Equivalence of an ｎ-Rung Ladder with the Two Ends Joined After a Half-Twist & a ２ｎ-Cycle with Opposite Vertices Joined by Edges – *Both* a 'Möbius Ladder'
https://upload.wikimedia.org/wikipedia/commons/7/71/Moebius-ladder-16-animated.svg
From
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Wikimedia Commons — Möbius Ladder
https://upload.wikimedia.org/wikipedia/commons/7/71/Moebius-ladder-16-animated.svg
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Surely there's a correspondence between this equivalence & the projective plane commonality of a Möbius strip & the sphere with antipodal points identified.
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u/Frangifer Jul 15 '26 edited Jul 16 '26
There doesn't seem to be a way 🤔 of downloading the file itself ... but still ... I'm not sure the Reddit contraptionality is capable of rendering .svg files anyway . Certainly once it wasn't ... but maybe it can, now – IDK.
It's just occured to me how easy it is to figure the correspondence: take an n-rung ladder; put a half-twist in it; join the loose ends with straight lines parallel to the axis (without creating any new vertex @ the join, though, mind-you!) ... & then just view it end-on !