Diabolical cube Diabolical cube The diabolical cube is a three-dimensional dissection puzzle consisting of six polycubes (shapes formed by gluing cubes together face to face) that can be assembled together to form a single 3 × 3 × 3 cube. The six pieces are: one dicube, one tricube, one tetracube, one pentacube, one hexacube and one heptacube, that is, polycubes of 2, 3, 4, 5, 6 and 7 cubes. There are many similar variations of this type of puzzle, including the Soma cube and the Slothouber–Graatsma puzzle, two other dissections of a 3 × 3 × 3 cube into polycubes which use
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