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The citation is apparently from a French-language educational TV show (https://archive.is/20130113210953/http://archives.arte.tv/hebdo/archimed/19990921/ftext/sujet5.html). The remarks appear to be spoken by a fictional Brouwer trying to explain his result. The web page that this refers to gives no citation.
I would like to know who originally came up with the "crumpled paper theorem" explanation of the BFPT. It could have been Brouwer himself, but my guess is it was not. <!-- Template:Unsigned --><small class="autosigned">— Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:Natkuhn|Natkuhn]] ([[User talk:Natkuhn#top|talk]] • [[Special:Contributions/Natkuhn|contribs]]) 01:06, 8 May 2020 (UTC)</small> <!--Autosigned by SineBot-->
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