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Below is the relation y=1/sin(e^x)+sin(y) in desmos and a calculator (https://github.com/unageek/graphest/blob/main/docs/build.md), which uses Jeff Tupper's algorithm
For constructing the quadtree, I'd refer you to https://github.com/jared-hughes/isosurfaces (specifically build_tree and should_descend_deep_cell) which takes a similar approach as Desmos: descend to a certain depth, say 5 (to get a 32×32 grid), then descend only quads that cross the isoline (with a few more heuristics).
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