...a few thousands …
(winners normally at around 4 micron , with an unofficial record at 1 micron)
I'm surprised no one has mentioned the amount of skill it would take to hone the blade to such a perfectly straight sharp edge
Extended version of the OP video.
https://www.youtube.com/watch?v=Az1MFwkGD3U
Latest Japanese plane competition, from this past November. 10:11 video:
https://www.youtube.com/watch?v=TZWayxKvACk
Note the similarity to this French cheese stretching competition:
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