## The Magnificent Magic Cube

If you are fascinated by magic squares, you will be more astonished that magic cubes also exist, one of which is shown in the first figure.

Magic Cubes are cubical arrangements of numbers from $1$ to $n^3$ such that the sums of the rows and the sum of he columns are equal. In the magic cube above, the numbers from $1$ to $3^3=27$ are arranged in a cube and the sum of the numbers on each column and each row is $42$. » Read more