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@csk@mathstodon.xyz

Post #2454887

2026-05-08 19:33 UTC

@pieter@mathstodon.xyz I think I went through a very similar train of thought. Selinger's construction ultimately produces the fractal as a union of disjoint triangles, and you can iteratively descend through levels of substitution, bailing out early if you ever reach a "definitely inside" or "definitely outside" sub-region. But I boringly iterate over ever smaller quadrilaterals, rather than inverse-transforming the sample point relative to fixed shapes (I agree that both directions will probably work fine).

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