Yau's nodal lines — Chladni on sphere and torus (3D)

About this app

A vibrating surface has lines that stand still: sand gathers on them as on a Chladni plate. Spherical harmonics and torus waves up to level 14, rings, meridians, checkerboard or a random mixture, glowing nodal lines, length measured live. The chart shows that the length grows only like the frequency √λ, no faster. Yau's conjecture for smooth surfaces, plus the counterexamples in dimensions 3 to 5; openai/math family 350 (formalised in Lean). Exhibit-ready.

Subject: Open problems, solved by AI

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