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Comment by swayvil

2 years ago

I had a dream about this a few days ago. About complexly wrinkled/crumpled/convolved things.

Like a fresh crepe stuffed into the toe of a boot. Bewilderingly complex.

But I have a question. Does such contortion work for 3d "membranes" in a 4d space? It's something I'm chewing on. Hard to casually visualize, obviously.

Of course! The term you might wanna start off googling is "curvature of manifolds". What's even neater than "3d thing curving in 4d space" is that these notions can be made precise also without the "in [whatever] space" part (see "intrinsic curvature" and "Riemannian manifold").