Ancestors

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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Toot

Written by Bartosz Milewski on 2025-01-23 at 09:06

@gregeganSF The organic quality of this image is reminiscent of blastulation. https://en.wikipedia.org/wiki/Blastulation

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Descendants

Written by Greg Egan on 2025-01-23 at 10:00

@BartoszMilewski

I think the icosahedral symmetry makes it more reminiscent of a viral capsid:

https://www.researchgate.net/publication/265350729_Structure_Mechanical_Properties_and_Self-Assembly_of_Viral_Capsids

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