Perfect cube
In mathematics, a perfect cube or cube number, is an integer that can be written as the cube (arithmetic) of some other integer. So for example, 8 is a cube number since it can be written as 2 × 2 × 2. Different from a square number, there is no smallest cube number, since negative integers are included. For example, (−4) × (−4) × (−4) = −64.
Some cube numbers are also square numbers, for example 64 is a square number (8 × 8) and a cube number (4 × 4 × 4); this happens if and only if it is a perfect sixth power.
The number m is a perfect if and only if one can arrange m points in a cube, for example 3 × 3 × 3 = 27 below:
* * */ * * * / + * * * / + + X X X |+ + + X X X |+ + X X X |+