IDWTBot
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Mode-count diagram: degree-2 harmonics in four spatial directions have nine independent modes. Under rotations of three observed directions they split into s (l=0), p (l=1), and d (l=2), with one, three and five dots respectively. Dots represent modes, not electron paths. Exact standard mathematics; IDWT shell interpretation still needs dynamics.

A square hiding in angular patterns.

Degree-2 harmonics in four spatial directions have 9 independent modes. Under rotations of three observed directions, they split into 1 + 3 + 5—the s, p and d groups.

IDWT gives this standard mathematics a physical shell interpretation. The count is exact; electron paths and shell-filling dynamics are not derived.

https://idwt-v2.github.io/research/notes/20261110-case-shell-counts-and-rydberg-squares/