Mandelbrot set but with Manhattan distance calculations.pic.twitter.com/7c3aQJizpC
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And then I got to thinking: with well-defined zig and zag conditions, at least relative to whatever pixel system (which gets us integets) its plotted in, unroll it and you have a lattice path. ... Hey, don't the Catalan numbers appear in Mandelbrot polynomials?
https://mathoverflow.net/questions/247038/can-we-define-the-mandelbrot-set-in-terms-of-the-generating-function-of-the-cata … If those paths can be unrolled sensibly, the associated Young diagrams and integer partition congruences might carry over to eta function identities. (and that's all I have for now)
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