In mathematics, the centered icosahedral numbers also known as cuboctahedral numbers are a sequence of numbers, describing two different representations for these numbers as three-dimensional figurate numbers.

As centered icosahedral numbers, they are centered numbers representing points arranged in the shape of a regular icosahedron.

As cuboctahedral numbers, they represent points arranged in the shape of a cuboctahedron, and are a magic number for the face-centered cubic lattice.

The centered icosahedral number for a specific

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