Professor's Cube the Eastsheen 5×5×5 and the V-Cube 5 are designed with different mechanisms in an attempt to remedy the fragility of the original design. There are 98 pieces on the exterior of the cube: 8 corners, 36 edges, and 54 centers (48 movable, 6 fixed). Any permutation of the corners is possible, including odd permutations, giving 8! possible arrangements. Seven of the corners can be independently rotated, and the orientation of the eighth depends on the other seven, giving 3 (or 2,187) combinations. There are 54 centers. Six of these (the center square of each face) are fixed in position. The
Multimagic cube 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. The first known