What is the significance of a Mobius Strip?
In: Mathematics
nothing. it is just an example of a topological surface in R^3 with no interior, only 1 edge, and 1 face that can be constructed in our universe. pretty cool, but not really any more significant than saaay a coffee cup, which is a topological surface in R^3 with 1 face, no edges, an interior, and a hole, just like a donut.
It’s just an interesting object because it exists in three dimensions but has only one side. Not even an inside/outside, just… one side. On opposite sides of the same object. Just like the Klein bottle. It’s also easy to produce one by twisting the ends of a strip and putting them together.
Could someone remind me of the name of this sub?
The thing is that it is an object with no up or down side. Cut a strip of paper, give it a twist and stick the two ends together with glue. If you put a marker on the paper and keep drawing a line, you’ll cover both sides without lifting the pen.
And there’s a cool party trick too, perfect for a wedding or anniversary. If you cut the strip in halves on the line you drew, you’ll end up with two interlocked heart shapes 🙂
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