Multimagic cube

In mathematics, a P-multimagic cube is a magic cube that remains magic even if all its numbers are replaced by their k-th power for 1 ≤ k ≤ P. Thus, a magic cube is bimagic when it is 2-multimagic, and trimagic when it is 3-multimagic, tetramagic when it is 4-multimagic. A P-multimagic cube is said to be semi-perfect if the k-th power cubes are perfect for 1 ≤ k < P, and the P-th power cube is semiperfect. If all P of the power cubes are perfect, the multimagic cube is said to be perfect.

Multimagic cube

In mathematics, a P-multimagic cube is a magic cube that remains magic even if all its numbers are replaced by their k-th power for 1 ≤ k ≤ P. Thus, a magic cube is bimagic when it is 2-multimagic, and trimagic when it is 3-multimagic, tetramagic when it is 4-multimagic. A P-multimagic cube is said to be semi-perfect if the k-th power cubes are perfect for 1 ≤ k < P, and the P-th power cube is semiperfect. If all P of the power cubes are perfect, the multimagic cube is said to be perfect.