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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

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degree: 1
order: 0

mpeg_movie     5.7MB

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degree: 1
order: 1

mpeg_movie     6.7MB

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degree: 2
order: 0

mpeg_movie     6.4MB

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degree: 2
order: 1

mpeg_movie     7.4MB

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degree: 2
order: 2

mpeg_movie     8.1MB

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degree: 3
order: 0

mpeg_movie     7.0MB

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degree: 3
order: 1

mpeg_movie     8.3MB

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degree: 3
order: 2

mpeg_movie     9.0MB

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degree: 3
order: 3

mpeg_movie     9.7MB

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degree: 4
order: 0

mpeg_movie     7.6MB

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degree: 4
order: 1

mpeg_movie     9.2MB

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degree: 4
order: 2

mpeg_movie     9.9MB

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degree: 4
order: 3

mpeg_movie     10.7MB

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degree: 4
order: 4

mpeg_movie     11.4MB

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degree: 5
order: 0

mpeg_movie     8.3MB

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degree: 5
order: 1

mpeg_movie     10.4MB

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degree: 5
order: 2

mpeg_movie     10.9MB

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degree: 5
order: 3

mpeg_movie     12.2MB

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degree: 5
order: 4

mpeg_movie     12.3MB

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degree: 5
order: 5

mpeg_movie     13.0MB

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degree: 6
order: 0

mpeg_movie     8.8MB

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degree: 6
order: 1

mpeg_movie     10.8MB

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degree: 6
order: 2

mpeg_movie     11.8MB

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degree: 6
order: 3

mpeg_movie     13.0MB

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degree: 6
order: 4

mpeg_movie     13.2MB

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degree: 6
order: 5

mpeg_movie     13.9MB

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degree: 6
order: 6

mpeg_movie     14.3MB

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degree: 7
order: 0

mpeg_movie     9.3MB

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degree: 7
order: 1

mpeg_movie     11.4MB

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degree: 7
order: 2

mpeg_movie     12.7MB

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degree: 7
order: 3

mpeg_movie     13.6MB

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degree: 7
order: 4

mpeg_movie     14.0MB

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degree: 7
order: 5

mpeg_movie     14.9MB

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degree: 7
order: 6

mpeg_movie     15.2MB

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degree: 7
order: 7

mpeg_movie     15.5MB

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degree: 8
order: 0

mpeg_movie     9.8MB

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degree: 8
order: 1

mpeg_movie     12.2MB

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degree: 8
order: 2

mpeg_movie     13.6MB

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degree: 8
order: 3

mpeg_movie     14.3MB

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degree: 8
order: 4

mpeg_movie     15.1MB

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degree: 8
order: 5

mpeg_movie     16.1MB

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degree: 8
order: 6

mpeg_movie     16.5MB

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degree: 8
order: 7

mpeg_movie     16.7MB

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degree: 8
order: 8

mpeg_movie     16.5MB

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degree: 9
order: 0

mpeg_movie     10.3MB

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degree: 9
order: 1

mpeg_movie     12.9MB

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degree: 9
order: 2

mpeg_movie     14.2MB

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degree: 9
order: 3

mpeg_movie     15.4MB

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degree: 9
order: 4

mpeg_movie     15.9MB

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degree: 9
order: 5

mpeg_movie     16.9MB

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degree: 9
order: 6

mpeg_movie     17.7MB

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degree: 9
order: 7

mpeg_movie     17.9MB

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degree: 9
order: 8

mpeg_movie     17.7MB

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degree: 9
order: 9

mpeg_movie     17.4MB

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degree: 10
order: 0

mpeg_movie     10.7MB

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degree: 10
order: 1

mpeg_movie     13.4MB

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degree: 10
order: 2

mpeg_movie     14.9MB

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degree: 10
order: 3

mpeg_movie     16.2MB

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degree: 10
order: 4

mpeg_movie     16.9MB

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degree: 10
order: 5

mpeg_movie     18.0MB

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degree: 10
order: 6

mpeg_movie     18.6MB

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degree: 10
order: 7

mpeg_movie     18.7MB

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degree: 10
order: 8

mpeg_movie     19.0MB

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degree: 10
order: 9

mpeg_movie     18.6MB

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degree: 10
order: 10

mpeg_movie     18.3MB

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degree: 20
order: 0

mpeg_movie     14.6MB

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degree: 20
order: 10

mpeg_movie     29.6MB

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degree: 20
order: 20

mpeg_movie     24.2MB

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degree: 25
order: 0

mpeg_movie     16.1MB

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degree: 25
order: 10

mpeg_movie     32.5MB

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degree: 25
order: 20

mpeg_movie     33.8MB

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degree: 25
order: 25

mpeg_movie     26.2MB

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degree: 40
order: 0

mpeg_movie     19.5MB

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degree: 40
order: 1

mpeg_movie     25.3MB

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degree: 40
order: 38

mpeg_movie     34.6MB

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