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
Gear Cube between. - Place those two edges on the top side and complete the following algorithm: (U2 R4) 2. Step 2: Repeat the previous step until all edge pieces are in the correct position (edge colors match the colors of the sides it is between). Phase 3: Orient the edges: (second algorithm used) Step 1: Rotate all sides until the cube is back in a cubic state using the following algorithm: R4 (repeat as necessary). There are multiple variations of the Gear Cube, ranging from the most simple, a 2x2 Gear Shift, to the most complicated, the 3x3 Even Less Gears