Magic cube
In
mathematics, a
magic cube is the
3-dimensional equivalent of a
magic square, that is, a number of
integers arranged in a
n x
n x
n pattern such that the sum of the numbers on each row, each column, each pillar and the four main space diagonals is equal to a single number, the so-called magic constant of the cube, denoted
M3(
n). It can be shown that if a magic cube consists of the numbers 1, 2, ...,
n³, then it has magic number (
Sloane's
A027441)
If, in addition, the numbers on every
cross section diagonal also sum up to the cube's magic number, the cube is called a
perfect magic cube; otherwise, it is called a
semiperfect magic cube. The number
n is called the order of the magic cube. If the sums of numbers on a magic cube's broken space diagonals also equal the cube's magic number, the cube is called a pandiagonal cube.
See also
External links