Double-dimer loops and CLE₄

About this app

Two random domino tilings on top of each other give nested loops of every size. Sampled exactly via the Temperley bijection, construction step by step, magnifier, lattice comparison: the large loops do not depend on the fineness. In the limit this is CLE₄ – proven as curves for the half-plane; openai/math family 226.

Subject: Open problems, solved by AI

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