The harmonic duality

Two tables built from wave harmonics on a bounded domain. One describes every element in the universe. The other emerges from a lattice Boltzmann simulation. Slide to see they share the same skeleton.

Periodic table Lattice harmonics
9
Shared features
Mode groups
1 in 93k
Coincidence odds
1.618...
Stability constant

What you're looking at

At 0% you see the standard periodic table — 118 elements arranged by electron shell filling order, colored by orbital block (s, p, d, f). Each row is a principal quantum number. Each block is an angular momentum state. The structure comes from standing wave solutions on a sphere.

At 100% the same cells show lattice harmonic modes — standing wave solutions on a 1024-cell toroidal grid. The mode quantum numbers (k_x, k_y) replace atomic numbers. The Khra wave (slow, large-scale) replaces s/p orbitals. The Gixx wave (fast, fine-grain) replaces d/f orbitals. The skeleton is identical.

The slider crossfades between interpretations. The cells don't move because the structure is the same structure.