Toot

Written by Greg Egan on 2025-01-23 at 08:36

Take a 600-cell in 4D with 120 vertices ±v_i, i=1…60

Define F(x)=𝚷_i v_i·x

Stereographically project F from a 4-sphere to 3D, then Fourier-transform from momentum space to position space.

Result: this hydrogen wave function, with energy level n=61.

https://gregegan.net/SCIENCE/SymmetricWaves/SymmetricWaves.html

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