mc7d; higher dimension

First, I will list some rules that Rubik's Cube satisfies: 1. Rubik's Cube has 3 kinds of blocks, each has different number(1, 2 or 3) of color. 2. The structure of each block reminds the same. 3. 1-color blocks (or center) are relatively unchangeable. 4.All cases of Rubik's cube satisfy...