Name: A Million Of Rubik's Cube Best Moves
Creator: Kaggle
License: https://creativecommons.org/licenses/by-sa/4.0/

About this Dataset

A Million Of Rubik's Cube Best Moves

This dataset contains a million of Rubik's cube status along with the best next move for each status.
This dataset is generated by this notebook, check it out for more information:
https://www.kaggle.com/code/marcellosemboli/one-million-of-rubik-cube-moves

The cube

Notations below are taken from World Cube Association.

Faces of the cube

A solved cube has 6 faces and 6 colors:

U - upper, White
L - left, Orange
F - front, Green
R - right, Red
B - back, Blue
D - down, Yellow

Faces are coded as follows:

U - 0
L - 1
F - 2
R - 3
B - 4
D - 5

Colors

Colors are coded as follow:

0 White
1 Orange
2 Green
3 Red
4 Blue
5 Yellow

Each face has 9 tiles (from 0 to 8) for a total of 6 x 9 = 54 tiles.

Names of tiles are U0,..,U8,L0,..,L8,..,D8

Status of cube

A status of cube is a tuple of 54 colors, 9 tiles for each of 6 faces.

According to the python rubik-cube module a solved cube status is:

WWWWWWWWWOOOGGGRRRBBBOOOGGGRRRBBBOOOGGGRRRBBBYYYYYYYYY

In numbers:

000000000111222333444111222333444111222333444555555555

The status of the same cube after L move is:

400400400111022333445111022333445111022333445255255255

See below for other examples.

Moves

Rubik's cube has 12 possible moves, 6 clockwise and 6 counterclockwise, coded as follows:

Clockwise

U - 0
L - 1
F - 2
R - 3
B - 4
D - 5

Counterclockwise

U' - 6
L' - 7
F' - 8
R' - 9
B' - 10
D' - 11

Double moves as U2, L2 etc. are not used.

Scramble

A scramble is a sequence of moves, where subsequent moves are'nt opposite. Sequences of three same moves are excluded as well.

Since the God's number is 20, I will use scrambles of maximum 20 moves and the opposite of last move is the best move for a solve of that scramble.

The dataset

The dataset is a csv file were each line is a status of the cube, and the best move for that status.
Columns from 0 (the first) to 53 are named after tiles position in status of the cube, and contains the color number.
Last 12 columns are named after moves and are all 0 except the best move is 1.

U0,U1,U2,U3,U4,U5,U6,U7,U8,L0,L1,L2,F0,F1,F2,R0,R1,R2,B0,B1,B2,L3,L4,L5,F3,F4,F5,R3,R4,R5,B3,B4,B5,L6,L7,L8,F6,F7,F8,R6,R7,R8,B6,B7,B8,D0,D1,D2,D3,D4,D5,D6,D7,D8,U,L,R,F,B,D,Ui,Li,Ri,Fi,Bi,Di

For a total of 54 + 12 = 66 columns.

Each row is 132 bytes, one million rows are 132M bytes = 126 Mb.

Tables

Rubik 1m

@kaggle.marcellosemboli_rubik_1m.rubik_1m

19.36 MB
1,000,000 rows
66 columns

CREATE TABLE rubik_1m (
  "u0" BIGINT,
  "u1" BIGINT,
  "u2" BIGINT,
  "u3" BIGINT,
  "u4" BIGINT,
  "u5" BIGINT,
  "u6" BIGINT,
  "u7" BIGINT,
  "u8" BIGINT,
  "l0" BIGINT,
  "l1" BIGINT,
  "l2" BIGINT,
  "f0" BIGINT,
  "f1" BIGINT,
  "f2" BIGINT,
  "r0" BIGINT,
  "r1" BIGINT,
  "r2" BIGINT,
  "b0" BIGINT,
  "b1" BIGINT,
  "b2" BIGINT,
  "l3" BIGINT,
  "l4" BIGINT,
  "l5" BIGINT,
  "f3" BIGINT,
  "f4" BIGINT,
  "f5" BIGINT,
  "r3" BIGINT,
  "r4" BIGINT,
  "r5" BIGINT,
  "b3" BIGINT,
  "b4" BIGINT,
  "b5" BIGINT,
  "l6" BIGINT,
  "l7" BIGINT,
  "l8" BIGINT,
  "f6" BIGINT,
  "f7" BIGINT,
  "f8" BIGINT,
  "r6" BIGINT,
  "r7" BIGINT,
  "r8" BIGINT,
  "b6" BIGINT,
  "b7" BIGINT,
  "b8" BIGINT,
  "d0" BIGINT,
  "d1" BIGINT,
  "d2" BIGINT,
  "d3" BIGINT,
  "d4" BIGINT,
  "d5" BIGINT,
  "d6" BIGINT,
  "d7" BIGINT,
  "d8" BIGINT,
  "u" BIGINT,
  "l" BIGINT,
  "f" BIGINT,
  "r" BIGINT,
  "b" BIGINT,
  "d" BIGINT,
  "ui" BIGINT,
  "li" BIGINT,
  "fi" BIGINT,
  "ri" BIGINT,
  "bi" BIGINT,
  "di" BIGINT
);

Rubik 1m 2

@kaggle.marcellosemboli_rubik_1m.rubik_1m_2

19.36 MB
1,000,000 rows
66 columns

CREATE TABLE rubik_1m_2 (
  "u0" BIGINT,
  "u1" BIGINT,
  "u2" BIGINT,
  "u3" BIGINT,
  "u4" BIGINT,
  "u5" BIGINT,
  "u6" BIGINT,
  "u7" BIGINT,
  "u8" BIGINT,
  "l0" BIGINT,
  "l1" BIGINT,
  "l2" BIGINT,
  "f0" BIGINT,
  "f1" BIGINT,
  "f2" BIGINT,
  "r0" BIGINT,
  "r1" BIGINT,
  "r2" BIGINT,
  "b0" BIGINT,
  "b1" BIGINT,
  "b2" BIGINT,
  "l3" BIGINT,
  "l4" BIGINT,
  "l5" BIGINT,
  "f3" BIGINT,
  "f4" BIGINT,
  "f5" BIGINT,
  "r3" BIGINT,
  "r4" BIGINT,
  "r5" BIGINT,
  "b3" BIGINT,
  "b4" BIGINT,
  "b5" BIGINT,
  "l6" BIGINT,
  "l7" BIGINT,
  "l8" BIGINT,
  "f6" BIGINT,
  "f7" BIGINT,
  "f8" BIGINT,
  "r6" BIGINT,
  "r7" BIGINT,
  "r8" BIGINT,
  "b6" BIGINT,
  "b7" BIGINT,
  "b8" BIGINT,
  "d0" BIGINT,
  "d1" BIGINT,
  "d2" BIGINT,
  "d3" BIGINT,
  "d4" BIGINT,
  "d5" BIGINT,
  "d6" BIGINT,
  "d7" BIGINT,
  "d8" BIGINT,
  "u" BIGINT,
  "l" BIGINT,
  "f" BIGINT,
  "r" BIGINT,
  "b" BIGINT,
  "d" BIGINT,
  "ui" BIGINT,
  "li" BIGINT,
  "fi" BIGINT,
  "ri" BIGINT,
  "bi" BIGINT,
  "di" BIGINT
);

Rubik 1m 3

@kaggle.marcellosemboli_rubik_1m.rubik_1m_3

19.37 MB
1,000,000 rows
66 columns

CREATE TABLE rubik_1m_3 (
  "u0" BIGINT,
  "u1" BIGINT,
  "u2" BIGINT,
  "u3" BIGINT,
  "u4" BIGINT,
  "u5" BIGINT,
  "u6" BIGINT,
  "u7" BIGINT,
  "u8" BIGINT,
  "l0" BIGINT,
  "l1" BIGINT,
  "l2" BIGINT,
  "f0" BIGINT,
  "f1" BIGINT,
  "f2" BIGINT,
  "r0" BIGINT,
  "r1" BIGINT,
  "r2" BIGINT,
  "b0" BIGINT,
  "b1" BIGINT,
  "b2" BIGINT,
  "l3" BIGINT,
  "l4" BIGINT,
  "l5" BIGINT,
  "f3" BIGINT,
  "f4" BIGINT,
  "f5" BIGINT,
  "r3" BIGINT,
  "r4" BIGINT,
  "r5" BIGINT,
  "b3" BIGINT,
  "b4" BIGINT,
  "b5" BIGINT,
  "l6" BIGINT,
  "l7" BIGINT,
  "l8" BIGINT,
  "f6" BIGINT,
  "f7" BIGINT,
  "f8" BIGINT,
  "r6" BIGINT,
  "r7" BIGINT,
  "r8" BIGINT,
  "b6" BIGINT,
  "b7" BIGINT,
  "b8" BIGINT,
  "d0" BIGINT,
  "d1" BIGINT,
  "d2" BIGINT,
  "d3" BIGINT,
  "d4" BIGINT,
  "d5" BIGINT,
  "d6" BIGINT,
  "d7" BIGINT,
  "d8" BIGINT,
  "u" BIGINT,
  "l" BIGINT,
  "f" BIGINT,
  "r" BIGINT,
  "b" BIGINT,
  "d" BIGINT,
  "ui" BIGINT,
  "li" BIGINT,
  "fi" BIGINT,
  "ri" BIGINT,
  "bi" BIGINT,
  "di" BIGINT
);