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 @b4c50e1b 

This is super exciting! When I was an undergrad the BIG theorem I was trying to prove was related to roots of polynomials with ±1 coefficients. In particular, I needed to show that for every polynomial p of a certain form there was a ±1-polynomial congruent to -1 mod p.

I actually had sage draw a TON of pictures that looked exactly like your "dragon sets", and the fractal tiles from your second post look like something Lagarias and Wang were working on that my advisor turned me onto.

Anyways, thanks for the throwback! Here's a picture I made from that era. I completely forget what it's supposed to mean:

https://media.mastodon.sunny.garden/media_attachments/files/111/154/639/913/213/072/original/98977c1d8f6285d7.png 
 @531868ba - wow, so we were destined to meet!  In a way the best source of information on these polynomials is here:

http://math.ucr.edu/home/baez/roots/

since it has lots of pictures and links to everything else I know about. 
 @b4c50e1b 

Destiny is funny like that! I don't remember, but if this page (or something like it) existed in 2018 the odds are VERY high that I saw it back then!

Also I assume that's @6278416d who originally made the pictures? What a small world, since we ended up meeting through HoTT. 
 @531868ba - the tale is told here:

http://math.ucr.edu/home/baez/roots/

Dan started by drawing a somewhat different picture...

@6278416d