Problem 892. Solve Rubik's Cube - Up to Two Face Moves

A standard Rubik's Cube is shown in 3-D and also unfolded to identify the specific Tile-face/Vector numbering.
The faces are White-Up / Red-Left / Blue-Front / Orange-Right / Yellow-Down / Green-Back (ULFRDB)
Moves are denoted as F for clockwise rotation of the Front face. F' is CCW and F2 is F twice. The loaded function r_new=rubick_rot(mov,r) implements moves 1-18: UFDLBRU'F'D'L'B'R'U2F2D2L2B2R2.
Input: (rubik)
rubik: row vector of size 54
(The cube started [L=0,U=1,F=2,D=3,B=4,R=5] and then received one or two face moves.
Output: mov (A row vector of one or two of values {1:18})
mov: is a vector values 1:18 representing the moves in order to fix the cube: UFDLBRU'F'D'L'B'R'U2F2D2L2B2R2
  • Example:
  • If the cube was randomized by [1 9] UD', the one and only 2 move answer is [3 7] DU' which are the complements in reverse order.
  • Minimum moves is also required. Scramble by 13(U2) should return a [13], not [1 1] or [7 7]
  • Verifications will be by executing your move vector against the provided rubik and checking number of moves.
The function rubik_rot(mov,r) is available for usage
This is the next incremental solution step: Move optimization.
Additional Challenges will be solving the cube at even deeper depths for time and minimizing face moves utilized. This depth does not justify a time check.
Solve

Solution Stats

13.51% Correct | 86.49% Incorrect
Last Solution submitted on Apr 17, 2022

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers5

Suggested Problems

More from this Author308

Problem Tags

games permutations rubik

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!