All crystal structures can be divided into 32 crystal classes, according to the number of rotational axes and reflection planes they exhibit that leave the crystal structure unchanged.
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The GP-B gyro consists of a nearly-perfect spherical rotating mass made of fused quartz, which provides a dielectric support for a thin layer of niobium superconducting material.
The shape of an egg is approximately half of each of a prolate (long) and a roughly spherical (potentially even slightly oblate/short) ellipsoid joined at the equator, sharing a principal axis of rotational symmetry, as illustrated above.
However, 2-fold rotational symmetry of the graph does not imply any symmetry (in the sense of this article) of the function: function values (in a pattern representing colors, grey shades, etc.) are nominal data, i.e. grey is not between black and white, the three colors are simply all different.
Cyclic group, rotational symmetry group for an object with n-fold symmetry in a plane of rotation