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
Pantriagonal magic cube Pantriagonal magic cube A pantriagonal magic cube is a magic cube where all 4"m" pantriagonals sum correctly. There are 4 one-segment, 12("m" − 1) two-segment, and 4("m" − 2)("m" − 1) three-segment pantriagonals. This class of magic cubes may contain some simple magic squares and/or pandiagonal magic squares, but not enough to satisfy any other classifications. The constant for magic cubes is "S" = "m"("m" + 1)/2. A proper pantriagonal magic cube has 7"m" lines summing correctly. It contains "no" magic squares. Order 4 is the smallest pantriagonal magic cube possible. A pantriagonal magic cube is the 3-dimensional equivalent of