MathDB

Is it possible to disassemble and reassemble a

4\times 4\times 4

Rubik's Cuble in at least

577,800

non-equivalent ways?
Notes: 1. When we reassemble the cube, a corner cube has to go to a corner cube, an edge cube must go to an edge cube and a central cube must go to a central cube. 2. Two positions of the cube are called equivalent if they can be obtained from one two another by rotating the faces or layers which are parallel to the faces.

Problem Statement