Cube have octahedral symmetry. The cube is a part of a sequence of rhombic polyhedra and tilings with ["n",3] Coxeter group symmetry. The cube can be seen as a rhombic hexahedron where the rhombi are squares. The cube is a square prism: As a trigonal trapezohedron, the cube is related to the hexagonal dihedral symmetry family. It is an element of 9 of 28 convex uniform honeycombs: It is also an element of five four-dimensional uniform polychora: The skeleton of the cube (the vertices and edges) form a graph, with 8 vertices, and 12 edges. It is a special case of
Floppy Cube (20), the Rubik's Domino (18) and, to some extent, the Pocket Cube (11). The table also shows that there is only one combination that is exactly 8 moves away from the solved state; this is the combination in which all the corners are in their correct places but all the edges are flipped, analogous to the "superflip" on the Rubik's Cube, which requires 20 moves to solve. The Super Floppy Cube (often shortened to "Super Floppy") is a common variant of the Floppy Cube. It was also invented by Katsuhiko Okamoto but several versions have also been produced by other