[gus_massa]

They look too big. I expected all the l=1 to be like a cone near (0,0,0). And I expected one of them to be vertical instead of horizontal.

[esperent]

I'm not sure about the size but I think the shapes are correct. It's just very hard to examine them when they're rotating at such high speed.

Compare them to the image on this page:

https://en.m.wikipedia.org/wiki/Spherical_harmonics

Suggestion to OP: this would be much more useful if you add a button to stop the rotation.

[gus_massa]

Now it looks better close to the 0. Did the OP change the implementation?

ALso, I noticed that there is a real/imaginary/complex menu. I was looking at the real part of the complex versions, but it's necesary to look at the complete complex version to understand them.

Note that the graphic in Wikipedia is showing the real versions. In the real versions you for l=1 the functions in directions x, y and z[m=0], and all of them look identical except for the direction. But in the complex versions you have (x+iy)/sqrt(2)[m=1], (x-iy)/sqrt(2)[m=-1] and z[m=0], and when you show only the real part of them the first two are smaller.

[dtgriscom]

... or a slider to control the rotation position or speed.