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January 22nd, 2015, 07:39 AM   #1
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Azimuthal symmetry

could any one explain me what Azimuthal symmetry means ?
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January 22nd, 2015, 08:13 PM   #2
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Originally Posted by MATHEMATICIAN View Post
could any one explain me what Azimuthal symmetry means ?
It means symmetric about the z-axis (think spherical polars and label the angles azimuth and altitude, then azimuthal symmetry means constant wrt the azimuth variable, which is the same thing as symmetry about the z-axis)

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January 23rd, 2015, 03:05 AM   #3
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I think that, strictly, it could be about any axis.
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January 23rd, 2015, 05:33 AM   #4
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Azimuthal is a fancy word for "of a rotation to the side". So if you stand on a spot and then turn your body sideways to face a different direction, you are performing an azimuthal rotation.

Azimuthal symmetry means that if you have an object and you rotate it sideways, it will look the same. DVDs, wheels (placed on their side), balls, etc all have azimuthal symmetry.
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