An arrangement of unit spheres in this many dimensions can be constructed using the binary Golay code, uniquely solves the kissing number problem, and is known as the   Leech lattice.
The octahedral group has this order, and the largest Mathieu group is designated with this subscript. The 4-dimensional regular polytope with this many cells is self-dual, is constructed of octahedral cells, and has no direct 3- dimensional analogue. An arrangement of unit spheres in this many dimensions can be constructed using the binary Golay code, uniquely solves the kissing number problem, and is known as the   Leech lattice. This number, which is divisible by every positive integer less than its square root, is one less than a perfect square and three less than a perfect cube. For ten points, identify this number, equal to four times the smallest perfect number as well as itself being equal to 4!.
The octahedral group has this order, and the largest Mathieu group is designated with this subscript.
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