Nxnxn Rubik 39-s-cube Algorithm Github Python -
There are several prominent GitHub repositories that tackle $NxNxN$ solving and high-dimensional simulation in Python.
| Cube Size | Algorithm Type | Purpose | |-----------|----------------|---------| | Any N | Reduction (solve centers, then edges, then as 3×3) | General method | | Even N | Parity fix (e.g., OLL parity, PLL parity) | Correct unsolvable states | | Any N | Kociemba’s two-phase (optimal for 3×3) | Speed solving | | Any N | BFS / IDA* | Search-based solving (small N) |
The best complete solution on GitHub for nxnxn Rubik's Cube in Python is dwalton76/rubiks-cube-solver — it’s production-ready, supports cubes up to 10x10, handles parity, and is well-documented.
For advanced group theory or optimal solving, check the generalized_rubiks_cube repo. nxnxn rubik 39-s-cube algorithm github python
After centers and edges are solved, map the reduced cube’s state to a 3x3x3 object and call a standard solver (e.g., kociemba Python module). Then reapply the moves to the NxNxN.
Many repositories claim to support N up to 10. Look for: There are several prominent GitHub repositories that tackle
Example code snippet (building centers in Python):
def solve_center_face(cube, face, color):
# cycle center pieces using commutators
for i in range(cube.N - 2):
for j in range(cube.N - 2):
if cube.center[face][i][j] != color:
# bring correct piece into position using [r U r', ...]
apply_commutator(cube, face, i, j)
return cube
class NxNxNCube: def __init__(self, n): self.n = n # Faces: U, D, F, B, L, R # Each face: n x n matrix of colors (0..5) self.faces = [[[color] * n for _ in range(n)] for color in range(6)]def rotate_face(self, face_idx, clockwise=True): # Rotate a single face clockwise/counterclockwise self.faces[face_idx] = [list(row) for row in zip(*self.faces[face_idx][::-1])] if clockwise else [list(row) for row in zip(*self.faces[face_idx])][::-1] def rotate_slice(self, axis, layer, clockwise): # Rotate an inner slice (for N > 3) # axis: 'x', 'y', 'z'; layer: 0..n-1 pass # Full implementation on GitHub links above def apply_algorithm(self, moves): for move in moves: # parse move like "U", "U'", "2U" (for wide moves), "3R" self.execute_move(move)
Here's a simple example using the kociemba library to solve a cube: The best complete solution on GitHub for nxnxn
pip install kociemba
from kociemba import solve
# Define the cube's state. U, D, L, R, F, B are faces.
# Each face is a string representing the colors of the stickers.
cube_state = "DRLUUBRLURURFUFFFDBLUURBRLURDLFDLRFURRDBFBLUR"
# Solve the cube
solution = solve(cube_state)
print("Solution:", solution)
| Repo | Features | nxnxn support? | Quality | |------|----------|----------------|---------| | Rubik's Cube Solver by dwalton76 | Solves up to 10x10x10 using reduction method. | ✅ Yes | ⭐ High | | Rubik's Cube Simulator by Jelleas | GUI, move notation, solver for nxnxn. | ✅ Up to 6x6x6 | ⭐ Medium | | PyRubik by bbrass | Lightweight, nxnxn representation. | ✅ Yes | ⭐ Medium | | RubikCube by AKSHAL-SHARMA | 3x3 only, but clean OOP. | ❌ No | ⭐ Low (for nxnxn) | | Generalized Rubik's Cube by ckettler | Mathematical representation, nxnxn. | ✅ Yes | ⭐ High (research quality) |