All solved cubes verified by inverse scramble + solution → identity.
This algorithm is the basis for many NxNxN solvers, including the one in magiccube and the widely used cubesolve project. While not always optimal, it typically produces solutions under 20 moves for the 3x3x3 cube.
def test_solve_even_parity(self): cube = NxNxNCube(4) # Known parity case: single edge flip cube.apply_algorithm("R U R' U'") # etc. cube.solve() self.assertTrue(cube.is_solved()) nxnxn rubik 39scube algorithm github python verified
cube = magiccube.Cube(6) cube.rotate("Lw") # Wide rotation of the left face cube.rotate("3Fw'2") # Double rotation of the 3rd layer print(cube.get()) # Get the current state
Uses a mathematical group theory library (python-verified-perm) to ensure every move sequence is a valid permutation of the group. All solved cubes verified by inverse scramble +
Supports any N >= 2. Includes:
array of color identifiers. This method is highly visual and easy to debug. Includes: array of color identifiers
def _verify_invariants(self): # 1. All pieces have exactly one sticker of each color? No — central pieces. # Instead, check that total permutation parity is even. # Simplified: count each color; should equal n*n for each face's primary color. for face, color in zip(['U','D','F','B','L','R'], ['U','D','F','B','L','R']): count = np.sum(self.state[face] == color) assert count == self.n * self.n, f"Invariant failed: Face face has count of color"
: Running these GitHub projects through the PyPy interpreter can reduce computation times from hours to minutes for complex positions.
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