Zonal Spherical Harmonics
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the mathematical study of rotational symmetry, the zonal spherical harmonics are special spherical harmonics that are invariant under the rotation through a particular fixed axis. The zonal spherical functions are a broad extension of the notion of zonal spherical harmonics to allow for a more general symmetry group.Generally speaking, an object with rotational symmetry is an object that looks the same after a certain amount of rotation. An object may have more…mehr

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the mathematical study of rotational symmetry, the zonal spherical harmonics are special spherical harmonics that are invariant under the rotation through a particular fixed axis. The zonal spherical functions are a broad extension of the notion of zonal spherical harmonics to allow for a more general symmetry group.Generally speaking, an object with rotational symmetry is an object that looks the same after a certain amount of rotation. An object may have more than one rotational symmetry; for instance, if reflections or turning it over are not counted, the triskelion appearing on the Isle of Man''s flag (see opposite) has three rotational symmetries (or "a threefold rotational symmetry"). More examples may be seen below.