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Replying to @graveolens @Gelada
It's already crazy when you map the complex roots of quadratics with integer coefficients. Here's an old "root map" made with Metapost. red=(0,0), blue=(1,0). Roots of ax²+bx+c=0 for a, b, c between −25 and 25. http://prof.pantaloni.free.fr/IMG/pdf/Root-map.pdf …pic.twitter.com/ejr3UN1pNl
2 replies 3 retweets 14 likes -
Replying to @panlepan @graveolens
This is actually where we started. If you restrict to one root (every above the real line) the curves you see are geodesics (straight lines) on the upper half plane model of the hyperbolic plane. So complex quadratic numbers have hyperbolic geometry.
4 replies 0 retweets 3 likes
The lens I'm looking at here is mostly in terms of modular forms/analytical expressions.
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