Search of fractal space-filling curves with minimal dilation

Yuri Malykhin, Evgeny Shchepin

We introduce an algorithm for a search of extremal fractal curves in large curve classes. It heavily uses SAT-solvers -- heuristic algorithms that find models for CNF boolean formulas. Our algorithm was implemented and applied to the search of fractal surjective curves $\gamma\colon[0,1]\to[0,1]^d$ with minimal dilation $$\sup_{t_1

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