Wikipedia attributes the remark to Brouwer himself, but I am extremely skeptical. Their citation goes to a webpage of a ? French educational TV show, where the remark appears to be a fictionalized explanation.

I suspect the "crumpled paper" explanation was due to someone else trying to give a down-to-earth explanation of the result. It was certainly in widespread circulation by the 1970s.

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    $\begingroup$ I bet this name spread via the gossipnet, just as slang words or elementary school jokes did. $\endgroup$ – Carl Witthoft May 8 '20 at 12:06
  • $\begingroup$ @CarlWitthoft, I agree... but gossip has an origin, and occasionally it can be identified. $\endgroup$ – Nat Kuhn May 9 '20 at 10:30

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