A friend sent me this tweet, start of a thread of some mathematically neat parks.
This jungle gym has the shape of one of the classic three-dimensional representations of the Klein bottle. It’s one of pop mathematics’s favorite shapes, up there with the Möbius strip, another all-time favorite.
Both the Klein bottle and the Möbius strip have many possible appearances, for about the same reason there are many kinds of trapezoids or octagons or whatnot. Möbius strips are easy enough to make in real life. Klein bottles, not so; the shape needs four dimensions of space and we just don’t have them. We’ll represent it with a shape that loops back through itself, but a real Klein bottle wouldn’t do that, for the same reason a wireframe cube’s edges don’t intersect the way the lines of its photograph do.
It makes a good wireframe shape, though. I’m surprised not to see more playground equipment using it.
nebusresearch 
Great place to get into when your ma shouts time to go home!
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Yeah, I saw someone captioning it as “But Mom, I am out of there!”
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Now that I like, clever kid!
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Kid’s got a future, yeah.
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Interesting, but it’s no Action Park…one of the water rides kept flinging kids into the 5th dimention.
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Oh, that’s really overblown. Action Park never had any beautiful balloons. Not ones that could carry passengers, anyway.
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