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 companies. The key difference between this puzzle and the Floppy Cube is that the Floppy Cube is restricted to only 180° rotations (i.e. an edge piece cannot be twisted 90°), while the Super Floppy Cube does allow edges to rotate 90°. This in turn allows the corner pieces to move to locations "above" and "below" the edge pieces and thus change the shape of the puzzle. There is also a subtle difference between the original version of the puzzle and the version mass-produced by other companies. The original puzzle has an internal mechanism which prevents an isolated edge piece from