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
Minus Cube to fall into the space. The goal of the puzzle is to shuffle the cubes in such a way that on each side of the box, all of the faces of the small cubes are one color. There were two types of Minus Cubes manufactured: the so-called "Moscow Minus Cube" (red-white) and "Sverdlovsk Minus Cube" (blue-white), each named after the cities in which they were produced. They differed only in the orientation of one of the small cubes. Because of this difference there are 12 times as many "solved" arrangements for the Moscow Minus Cube, and thus the Sverdlovsk Minus