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Question

ABCABC layering pattern is called cubic close packing, found in FCC lattice.
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Solution

Cubic close packing also called face-centered cubic (fcc) structure. In this arrangements, each sphere has twelve neighbors. For every sphere, there is one gap surrounded by six spheres (octahedral) and two smaller gaps surrounded by four spheres (tetrahedral). Relative to a reference layer with positioning A, two more positionings B and C are possible. Every sequence of A, B and C without immediate repetition of the same one is possible and gives an equally dense packing for spheres of a given radius.
The most regular arrangement in fcc = ABCABCA

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