1. If we start with two sheets of shape A, crumble first and place it on the second, the crumbled one's projection on the second is represented by B. So, we are essentially demanding a mapping of A onto B.pic.twitter.com/TxLqGtlJCt
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1. If we start with two sheets of shape A, crumble first and place it on the second, the crumbled one's projection on the second is represented by B. So, we are essentially demanding a mapping of A onto B.pic.twitter.com/TxLqGtlJCt
2. Now, because the area B of first (crumbled) sheet has been crumbled to a smaller area (say C) within area B of the second one, we can see that there is a recursive mapping that is self-inscribing.
My algebra lecturer told us: take a map that contains your location, crumple it up; drop it on the floor; one point in the crumpled blob now lies exactly over the real point is represents.
This is not much different from the Brewer’s Fixed Pint Theorem in which a tippler might in the space of a fortnight find himself back in the same pub he’d been drinking earlier. #MathBooze
Is it guaranteed to be exactly one point?
Atleast one point.
Is this like the map thing? Where one place is accurately placed on it
imo more mind-blowing case: Take an ordinary map of a country, and suppose that that map is laid out on a table inside that country. There will always be a "You are Here" point on the map which represents that same point in the country. (c) Wiki
Came here to say this
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