I was wondering if it was possible to graph the spherical harmonics in the Mac grapher app. In their manual, there is a section that talks about graphing the spherical harmonics (page 54):
This is my attempt at graphing the spherical harmonic for l = 1 and m = 0:
There is clearly something wrong. My suspicion is that (for some reason) the application may be using a rectangular coordinate system, since this is the exact graph in rectangular coordinates. However, as you can see in the image, I am supposed to be in spherical coordinates. Any help would be greatly appreciated.