The Challenge is to Solve a thoroughly scrambled Rubik's Cube.

The Performance metric is average number of moves for solving 200 cubes.

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'(or FP) 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 receives forty face moves.

Output: move_vec (Numeric of moves to solve)
 move_vec:values 1:27 for UFDLBR U'F'D'L'B'R' U2F2D2L2B2R2 XYZX'Y'Z'X2Y2Z2

• Example:
• If the cube was randomized by [1 9] UD', one solution is [3 7] DU' which are the complements in reverse order.
• Scoring is average face moves for 200 cubes
• Cube Moves X, Y, and Z do not constitute a move but are needed in the vector
• A string to numeric value function is provided in the template
• Verifications will be by executing your move vector against the provided Rubik and counting number of face moves.

The function rubik_rot(mov,r) is available for intermediate processing

The Function Template Contains a 3D Cube Viewer and the first part of the Beginner's Solution at the bottom in a comment block.

• Cube Theory: 20-moves Any Cube
• General Cube Info and Middle Layer
• SpeedCube Bottom Sequences

Coming Soon: The Mini-Cube (2x2x2) Not as easy as it looks