Code covered by the BSD License

### Highlights from Rubik's Cube Simulator and Solver

5.0

5.0 | 15 ratings Rate this file 220 Downloads (last 30 days) File Size: 2.44 MB File ID: #31672

# Rubik's Cube Simulator and Solver

04 Jun 2011 (Updated )

This program simulates, manipulates and solves all rubik's cubes. Includes webcam recognition.

File Information
Description

Run: >>digrub

This program allows you to generate a randomly scramble cube of arbitrary dimension which can then be manipulated manually or solved by the computer. You can also input your own state using a webcam (3x3x3), or simply enter the colors of each facelet (2,3,4x.x.).

There are several built-in solving mechanisms available:

- God's Algorithm for the 2x2x2: this is the optimal solution for the given state (in half-turn metric).

- Thistlethwaite 45 (T45) for the 3x3x3: this algorithm will always find a solution of 45 moves or less, averaging at 31.

- Layer-by-Layer (Beginners') Solution: this is the method commonly used by beginners to solve the cube. More intuitive than T45, but also more extensive and less effective.

- 423T45 for the 4x4x4 (read 4 to 3, T45): this algorithm brings the cube to a state which can be handled like it was a 3x3x3 cube. When this is achieved, T45 can be applied to solve it (~180 moves on avg).

- Inverse Scramble for all cubes: it is like cheating, but when the scramble is known, each cube can be solved by inversing the sequence.

All of the above methods (with exception of the inverse scramble, which is trivial) are explained extensively in the included PDF. The PDF also contains a vast theoretical description of the cube.

DESCRIPTION OF INCLUDED FUNCTIONS/FILES:
algrot.m - calculates how an algorithm changes under rotation of the cube.
digrub.fig - GUI figure main program
digrub.m - GUIDE-generated m-file to go with digrub.fig.
editstate.fig - GUI figure for manual input program
editstate.m - GUIDE-generated m-file to go with editstate.fig.
findpeeks.m - Peek-finder that is used to find the cube's position in a webcam image.
GetCorners.m - calculates the corner permutation/orientation of a given 3x3x3 cube.
GetCorners2.m - calculates the corner permutation/orientation of a given 2x2x2 cube.
GetEdges.m - calculates the edge permutation/orientation of a given 3x3x3 cube.
GetFacelets.m - converts a state in the orientation/permutation representation to the facelet repr.
Ind2State.m - converts an index to a state
move2rub.m - converts a move of the form 'x11' to Rubik's Code 'B'.
parity.m - calculates the parity of a permutation.
rub2move.m - converts a move in Rubik's code to axile 'x11' form.
rubcheck.m - checks the validity of a 2x2x2 or 3x3x3 state.
rubcross.m - searches for a cross on the cube.
rubgen.m - generates a cube
rubinfo.m - returns information about the cube state
rubopt.m - optimizes a move-sequence
ruborient.m - orients the cube
rubplot.m - plot a 3D image of the cube
rubrot.m - apply a move to the cube
rubrot2.m - rotate the entire cube
rubsolve.m - solve the cube using a layer by layer approach
Solve45.m - solve the cube using T45
Solve222.m - find God's Algorithm to a 2x2x2 cube
Solve444.m - find a solution to any 4x4x4 cube.

jorenheit[at]gmail.com

Required Products Image Processing Toolbox
MATLAB release MATLAB 7.10 (R2010a)
Other requirements Fluent functionality of the 3D-animations require a fast CPU.
07 Feb 2014
31 Jan 2014

Wonderful

23 Jan 2014
27 Dec 2013

Super nice !

17 Aug 2013

@Kuifeng It's been a long time since I worked on this project, but I can remember trying to add arrows to represent those axes... However, drawing (nice) arrows in Matlab proved not to be as straightforward as you might think, and I gave up (also because of the low priority).

17 Aug 2013

Very nice work, consider adding X-Y-Z arrows in the cube?

19 Mar 2013

@Krisztian You might wanna give the big blue button that says "Download Submission" a try...

19 Mar 2013

08 Feb 2013

very nice work, thanks for sharing the code

18 Sep 2012
10 Apr 2012

05 Apr 2012

11 Mar 2012
24 Oct 2011

congratulations! you are a genius! this is really nice of to share the code...thx!

12 Oct 2011
09 Oct 2011

Nice, Thanks for share .

14 Jul 2011

done , its nice

01 Jul 2011
01 Jul 2011
08 Jun 2011

I was searching for such a program for a long time...I knew how to solve the Cube but for a long wanted to see a program that could implement it....really nice work

06 Jun 2011
06 Jun 2011

Removed a couple of bugs, improved the ouput solution + animation of the solution. Added the 'Undo' button and option to hide current scramble.

07 Jun 2011

Added manual method for entering/editing the state and improved Webcam-function using this method (manual correction of captured state).

08 Jun 2011

Improved step 1 in the solving algorithm, has resulted in more stable solve time (0-2 sec).

03 Jul 2011

Added option to solve cube using inverse scramble (higher dimension cubes can be solved now). Option to display row numbers on the cube. Added full validity check when editing the cube manually.

08 Oct 2011

Major changes! New, more efficient solving mechanism, supporting 2x2x2, 3x3x3 and 4x4x4 cubes. New button lay-out and extensive explanatory pdf.

12 Oct 2011

Added parity.m, which I forgot to include in the last version.

23 Oct 2011

Updated screenshot (Windows version), minor bugfixes