QuoteIt turns out that the SHA-256 algorithm used for mining is pretty simple and can in fact be done by hand.

http://www.righto.com/2014/09/mining-bitcoin-with-pencil-and-paper.html

This makes me wonder if it would be possible to build a clockwork analog computer to do mining, maybe even have it powered by the wind -- it would be ridiculously expensive to build and functionally worthless, but it sure would be something to see.

I bet it would
https://www.smithsonianmag.com/history/decoding-antikythera-mechanism-first-computer-180953979/

>Antikythera

That makes me wonder where we would be today without the dark ages.