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MPEG Movies of Spherical Harmonics
I made these using opendx and mpeg2encode
It is best to save target, then run in Media Player

The view direction is from a 45 degree angle above the x-y plane and is rotating about the z axis.
Each harmonic is oscillating in amplitude, postivie to negative.
Nodes of zero value are illustrated by black circles .

Notice that if L=degree and M=order, then:
        (1) The total number of nodal circles = L
        (2) The number of latitudinal nodal circles = L-M
        (3) The number of longitudinal nodal circles = M

degree: 0 order: 0 mpeg_movie     5.1MB larger image	degree: 1 order: 0 mpeg_movie     5.7MB larger image	degree: 1 order: 1 mpeg_movie     6.7MB larger image	degree: 2 order: 0 mpeg_movie     6.4MB larger image
degree: 2 order: 1 mpeg_movie     7.4MB larger image	degree: 2 order: 2 mpeg_movie     8.1MB larger image	degree: 3 order: 0 mpeg_movie     7.0MB larger image	degree: 3 order: 1 mpeg_movie     8.3MB larger image
degree: 3 order: 2 mpeg_movie     9.0MB larger image	degree: 3 order: 3 mpeg_movie     9.7MB larger image	degree: 4 order: 0 mpeg_movie     7.6MB larger image	degree: 4 order: 1 mpeg_movie     9.2MB larger image
degree: 4 order: 2 mpeg_movie     9.9MB larger image	degree: 4 order: 3 mpeg_movie     10.7MB larger image	degree: 4 order: 4 mpeg_movie     11.4MB larger image	degree: 5 order: 0 mpeg_movie     8.3MB larger image
degree: 5 order: 1 mpeg_movie     10.4MB larger image	degree: 5 order: 2 mpeg_movie     10.9MB larger image	degree: 5 order: 3 mpeg_movie     12.2MB larger image	degree: 5 order: 4 mpeg_movie     12.3MB larger image
degree: 5 order: 5 mpeg_movie     13.0MB larger image	degree: 6 order: 0 mpeg_movie     8.8MB larger image	degree: 6 order: 1 mpeg_movie     10.8MB larger image	degree: 6 order: 2 mpeg_movie     11.8MB larger image
degree: 6 order: 3 mpeg_movie     13.0MB larger image	degree: 6 order: 4 mpeg_movie     13.2MB larger image	degree: 6 order: 5 mpeg_movie     13.9MB larger image	degree: 6 order: 6 mpeg_movie     14.3MB larger image
degree: 7 order: 0 mpeg_movie     9.3MB larger image	degree: 7 order: 1 mpeg_movie     11.4MB larger image	degree: 7 order: 2 mpeg_movie     12.7MB larger image	degree: 7 order: 3 mpeg_movie     13.6MB larger image
degree: 7 order: 4 mpeg_movie     14.0MB larger image	degree: 7 order: 5 mpeg_movie     14.9MB larger image	degree: 7 order: 6 mpeg_movie     15.2MB larger image	degree: 7 order: 7 mpeg_movie     15.5MB larger image
degree: 8 order: 0 mpeg_movie     9.8MB larger image	degree: 8 order: 1 mpeg_movie     12.2MB larger image	degree: 8 order: 2 mpeg_movie     13.6MB larger image	degree: 8 order: 3 mpeg_movie     14.3MB larger image
degree: 8 order: 4 mpeg_movie     15.1MB larger image	degree: 8 order: 5 mpeg_movie     16.1MB larger image	degree: 8 order: 6 mpeg_movie     16.5MB larger image	degree: 8 order: 7 mpeg_movie     16.7MB larger image
degree: 8 order: 8 mpeg_movie     16.5MB larger image	degree: 9 order: 0 mpeg_movie     10.3MB larger image	degree: 9 order: 1 mpeg_movie     12.9MB larger image	degree: 9 order: 2 mpeg_movie     14.2MB larger image
degree: 9 order: 3 mpeg_movie     15.4MB larger image	degree: 9 order: 4 mpeg_movie     15.9MB larger image	degree: 9 order: 5 mpeg_movie     16.9MB larger image	degree: 9 order: 6 mpeg_movie     17.7MB larger image
degree: 9 order: 7 mpeg_movie     17.9MB larger image	degree: 9 order: 8 mpeg_movie     17.7MB larger image	degree: 9 order: 9 mpeg_movie     17.4MB larger image	degree: 10 order: 0 mpeg_movie     10.7MB larger image
degree: 10 order: 1 mpeg_movie     13.4MB larger image	degree: 10 order: 2 mpeg_movie     14.9MB larger image	degree: 10 order: 3 mpeg_movie     16.2MB larger image	degree: 10 order: 4 mpeg_movie     16.9MB larger image
degree: 10 order: 5 mpeg_movie     18.0MB larger image	degree: 10 order: 6 mpeg_movie     18.6MB larger image	degree: 10 order: 7 mpeg_movie     18.7MB larger image	degree: 10 order: 8 mpeg_movie     19.0MB larger image
degree: 10 order: 9 mpeg_movie     18.6MB larger image	degree: 10 order: 10 mpeg_movie     18.3MB larger image	degree: 20 order: 0 mpeg_movie     14.6MB larger image	degree: 20 order: 10 mpeg_movie     29.6MB larger image
degree: 20 order: 20 mpeg_movie     24.2MB larger image	degree: 25 order: 0 mpeg_movie     16.1MB larger image	degree: 25 order: 10 mpeg_movie     32.5MB larger image	degree: 25 order: 20 mpeg_movie     33.8MB larger image
degree: 25 order: 25 mpeg_movie     26.2MB larger image	degree: 40 order: 0 mpeg_movie     19.5MB larger image	degree: 40 order: 1 mpeg_movie     25.3MB larger image	degree: 40 order: 38 mpeg_movie     34.6MB larger image

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