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Spherical harmonics

math Maturity 11-13

Shapes can have patterns.

Spherical harmonics.png
Spherical harmonics.png
These patterns live on a ball. They show how things move or shake. They help us see stars and planets. It is like a map for a round world. Can you see the shapes?

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🖼️ Images & Media (8)
File:Spherical Harmonics.png
Spherical Harmonics.png
File:Laplace, Pierre-Simon, marquis de.jpg
Laplace, Pierre-Simon, marquis de.jpg
File:Rotating spherical harmonics.gif
Rotating spherical harmonics.gif
File:Sphericalfunctions.svg
Sphericalfunctions.svg
File:Plot of the spherical harmonic Y l^m(theta,phi) with n=2 and m=1 and phi=pi in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg
Plot of the spherical harmonic Y...
File:Rotation of octupole vector function.svg
Rotation of octupole vector function.svg
File:Traces harmonique spherique.png
Traces harmonique spherique.png
File:Spherical harmonics.png
Spherical harmonics.png
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📚 Content adapted from Wikipedia | Readability: FK 14.7 | Vital Level 5