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Spherical Harmonic Christmas Sphere

by bkubicek, published

Spherical Harmonic Christmas Sphere by bkubicek Nov 23, 2012

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Sphere with additional radial deformation of SphericalHarmonics.
out.stl: l=15,m=2


more to come, I am writing on a c++ program to create those shapes..
You can download the program for windows here: https://github.com/bkubicek/sphericalator/downloads
Otherwise compile yourself using qt>4.7

Spherical Harmonics are also the solution for Schrödinger's Equation in the non-radial part. So you can geek out and imagine its either nuclear cores that are vibrating, or a strange "visualization" of exited hydrogen atom.

see e.g. http://en.wikipedia.org/wiki/Spherical_harmonics
or http://mathworld.wolfram.com/SphericalHarmonic.html

I have not printed any yet, probably support would be required.

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Hello. Have you created .stl for atomic orbitals (s, p, d, f) ? I work for a high school equipped with 3d-printers; we would like to print orbital models for the chemistry teacher's students.

This is great! I wanted to do that myself. I will print some of them. I teach space flight dynamics and spherical harmonics are used for Earth gravity field models. Showing the students physical objects for small degree and order would help them understand a few things.