The next step here is that I need to make the essential singularities a little larger, and so we're going to have to have a logarithm of seven somewhere...
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I've wanted to make a complete graph embedded in the unit disc for a bit:
@roice713 noticed it was tileable. I'm trying to build something like a modular form which repeats, respecting parity, for each complete graph domain...Show this thread -
wilier embeddings include 3 or 4d analogues, as well as a form which embedded on the disc straddling the equator of a sphere: the idea being you want to look at actions of the symmetry group on the complete graph which don't involve cutting.
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The geodesics are made with M*thematica, https://mathematica.stackexchange.com/questions/137891/drawing-the-hyperbolic-geodesics-joining-pre-images … the color with https://github.com/graveolensa/torrential_rainbows … and precise positioning of essential singularities (I need to upload the code with hsluv)
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essential singularities are bricks and mortar in products, but terrifying if you're building things from sums
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For the center region: maybe we want saddle points where they cross?
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