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HOW TO SOLVE A RUBIKS CUBE


About of HOW TO SOLVE A RUBIKS CUBE










Solving Rubik's Cube for speed
Contains information, terminology, Java applets, tips on the physical and mental
aspects of cubing, and a description of the Petrus method for solving a Rubik's ...

  • They're good speed cubes with bad

  • Solving Rubik's Cube for speed

  • By Lars Petrus Introduction This is a tutorial for my method of solving Rubik's Cube

  • It is intendedboth for beginners and experienced cubers

  • Click to subscribe to the If you are a total beginner, look at this descriptionof of Rubiks Cube

  • The Basic Idea Most people solve the cube layer by layer

  • You can the java code for the cubes

  • And a java cube you can



    JP Brown's Serious LEGO - CubeSolver
    Lego Mindstorms RCX robot solves the Rubik's Cube.

  • : CubeSolver : PREAMBLE This robot solves the 3x3x3

  • In Jan 2001 fellow Mindstorms forums user 'agiecco' announced his intention to work on a robotic solution and, simultaneously, I saw that Rubik's Cubes were on sale at www.target.com

  • So I bought a couple of cubes and started getting down to business..

  • MECHANICS To achieve a cube solution, you must be able to rotate the whole cube by 90° in two orthogonal axes, and be able to turn a face by 90° relative to the rest of the cube

  • I opted to use the left and right grabbers to turn the faces; the yellow grabber can rotate the left face by an 90°; the green grabber can rotate the right face by 90°; or they can both turn simultaneously while the bottom grab is open to rotate the whole cube through 90°

  • The bottom gabber holds the center 'slice' of the cube when the left or right grabber is turning a single face, and also provides a 90° turn for rotating the whole cube

  • The tricky part is to re-orient the cube between moves to present the next face to be turned by the left or right grabber

  • The cube faces are generally too stiff for LEGO elements to turn This problem was solved by a tip I found on Lars Petrus's : lubricate the cube with silicone spray lubricant



    Solve Rubik
    This web page is for those who cannot solve the Rubik's Cube, after completing
    one side.



    Program to Solve Your Rubik's Cube
    A computer program to help solve your cube.

  • Cube 1.42 Last update: November 18, 2005 This cube program enables the user to solve his Rubik's Cube

  • After entering the cube, the user can play with the cube or have the computer provide a solution

  • This means that the number of steps required to solve to cube will usually be a lot more than the optimal solution

  • However, the user can learn how to solve his cube himself by looking carefully at what the computer does

  • The computer will: * Solve the top of the cube -first the edges starting at the right/top edge and going in counterclockwise direction -then the corners starting at the right/top/front corner and going in ccw direction * Turn the cube around * Solve the middle layer of the cube * Make a cross on the top of the cube (edges are flipped ok, position may vary) * Solve the corners of the cube * Fix the position of the edges on the top Since the cube can be rotated using your mouse, I have chosen a naming convention that uses the colors of the side (=middle square) instead of the front/back/right/left/bottom/top convention seen elsewhere

  • Please send any comments to the e-mail address in the Help->About box of the Cube.exe

  • info: HOW TO SOLVE A RUBIKS CUBE


    Photo by www.sunion.warwick.ac.uk


    Solving the Rubik's Cube Systematically
    A systematic method for solving the cube.

  • Solving the Rubik's Cube Systematically Introduction You probably have seen many ways to solve the cube

  • But how much time and effort are required to remember these 'optimal' sequence of steps? How much time is required to practise with them so that you don't forget one of those long meaningless sequences of steps? If you stop playing with the cube for some time, would you still remember how to solve it using these optimal methods? This is a real life story

  • I haven't touched the cube for more than ten years

  • I have forgotten each and every sequence of moves I used to restore the cube

  • One evening my baby cousin scrambled the cube and noticed that she is incapable of restoring it

  • If it were you, could you have unscrambled the cube quickly? The method I described here is good not because it is fast

  • Better still, buy them one! The Strategy of 8 Corners These pages describe basic rules in designing algorithms to solve the Rubik's Cube

  • You would develop a new perspective of the cube, with which you can design algorithms and strategies on your own

  • Some prior experience on meddling with the cube and on using algorithms are needed


    3x3x3 Puzzle Solution
    A one-page solution that uses three simple arrow diagrams to indicate which plane
    of the cube is to be turned a ¼ turn. No knowledge of notation required.

  • The three arrow diagrams used in the solution are: Arrow Diagram #1: Arrow Diagram #2: Arrow Diagram #3: The arrows indicate which plane of the cube is to be turned a ¼ turn

  • " B " with an arrow around it = turn the back plane of the cube a ¼ turn

  • I have spent days (hahahaha) trying to work out how to move the final pieces into position and became very confused as everybody has a different way of solving the cube

  • You have made it "easy" and now I can "finally" impress all my family (who CANNOT solve a "simple" rubik's cube)

  • Nasser wrote: I am impressed with the ease of the solution of the Rubik's cube

  • /Rich -- Hello, Just wanted to thank you for your article on Rubik’s cube

  • I printed your two page format sheet as I have never before dealt with Rubik’s cubes before

  • As I said I have not had much practice it has been only 12 hours since I got a Rubik’s cube :) Anyway once again thank you very much and the article is really excellent and easy to follow

  • -- Direct Links to Other Solutions: all use notation Speed Cubing - http://www.speedcubing.com/ An international competition to see who can solve a standard size Rubik's Cube in the least amount of time


    How to Solve Rubik's Cube with 3 Simple Tricks
    Learn to solve Rubik's cube by learning 3 simple tricks.

  • Hello My Friend, Learn to Solve Rubik's Cube with 3 Simple Tricks You can solve the Rubik's Cube by learning just 3 Simple Tricks

  • That Monday, I stumbled upon this software and learnt the 3 tricks to solve the Rubik's Cube

  • Clay Tarlette, New Providence, NJ, Feb 18, 2006 When you have learned to solve the Rubik's Cube, the pride and joy cannot be contained

  • I thought you might like to know that I have not only restored my long abandoned Rubik's cube using the step by step software which was my purpose in purchasing the software, but in just 3 days (with some practice of course) I can now consistently solve the cube within 6 minutes

  • I believe I can do it under 4 if my cube is smoother

  • Wow! Who could have believed that I can solve the Cube when all I wanted was to restored the dusty messed-up Cube

  • Thank YOU! Christine Springfield, Burnaby, British Columbia, CANADA Think how you can influence the lives of others if you can: Teach a 4-year-old how to do pretty patterns on Rubik's Cube

  • Show a 80-year-old a simple 2-turn move that when repeated 105 times restores the Cube


    Solving Rubik's Cube Using the Bestfast Algorithm and Profile tables
    The Prolog language and an efficient heuristic searching technique is used to
    solve the Rubik's Cube.

  • Benefits


    Photo by static.flickr.com


    RUBIK's CUBE-LIKE PUZZLES
    Permutation puzzle page of David Joyner. Contains links to some papers, student
    projects, lecture notes, and MAPLE programs on the Rubik's cube and related ...

  • RUBIK's CUBE-LIKE PUZZLES The purpose of this page is not so much to explain how to solve the Rubik's cube but to try to explain how one can use mathematics to model the Rubik's cube, and related puzzles

  • The first few definitions below try to put the Rubik's cube on a firmer mathematical foundation by defining a permutation puzzle, such as the Rubik's cube, in the context of combinatorial game theory

  • Some links to web pages on related puzzles and topics are given below, followed by a short explanation of my (a commercial computer algebra and graphics program) code for the 3x3 and 4x4 Rubik's cube

  • My MAPLE code for the rubik's cube is included in release 5 and later of MAPLE's share library

  • Some on the Rubik's cube (Math 485, Fall 1996)

  • A page for the 3x3 Rubik's cube A page for the 4x4 Rubik's cube (patterns by Rainer aus dem Spring) Mr Dunivan and Mr Conrady's page Mr Gomes and Mr Montague's page Mr Gettys and Mr Pritchett's page Ms Mullen and Mr Robinson's page 3x3 and 4x4 Rubik's cube There is a MAPLE implementation of both the 3x3 and 4x4 Rubik's cube


    Group Games
    Animations that develop the theory behind such puzzles as the Rubik cube.

  • Group games Dipartimento di Scienze Matematiche Università degli studi di Trieste Java applets by: Probably everybody had in his/her hands the puzzle called 'Rubik's cube' or 'Magic cube'

  • It is made by a plastic cube whose faces can move in such a way that the small colored cubes which compose each face can permute

  • The aim of the game is to reconstruct the original cube

  • One can prove that the number of different configurations of a Rubik's cube is: 2 27 3 14 5 3 7 2 11=43252003274489856000, that is, about 0.4*10 20

  • In order to have an idea of how big is this number, suppose we want to show all the different configurations of the cube devoting precisely one second to each of them; this operation would take about 1370 billions of years (consider that the Sun will continue to burn for about 5 billions of years...)

  • Hence to show all the possible configurations of a Rubik's cube seems to be an impossible task, but this should not discourage us: to find a solution to the puzzle it is not necessary to know all the possible configurations, it is enough to manage some of them with sufficient ability


    Rubik's cube
    Advanced method to solve Rubik's cube very fast. Includes advice to improve your speed.

  • He signed it at the World Championship in Budapest in 1982 This system for advanced cubers and is not appropriate for a beginner

  • It is intended for those of you who can already solve the cube in a few minutes and want to get really fast

  • edu is THE expert on solving large cubes with a Richard can solve the cube blindfolded and willingly shares with us


    Solving the Rubik's Cube
    Solving the Rubik's Cube using a simple and foolproof solution.

  • DIRECTIONS FOR SOLVING THE RUBIK'S CUBE These instructions can be used to solve a 3x3x3 and also a 2x2x2 starting from any combination of colors on a mixed up cube

  • Furthermore, the approach to solving the cube I take seems to be different than on the web

  • I have recently learned that the solution I describe was popularized by Minh Thai, the National Champion cube solver whose record Time in late 1981 was 26.04 seconds (he was on the TV show 'That's Incredible')

  • He went on to publish a booklet entitled 'The Winning Solution' (1982), talking about his method for solving the cube, a 'corners first' approach, based on the solution presented by Ideal Toy Company (The Ideal Solution, 1980), the book which I believe I learned this solution from

  • Marshall's, comparing various solutions.) Note: I also have for how to solve a cube when it has pictures on each face

  • Purchasing Puzzles: If you are having troubles finding stores that sell cubes and similar puzzles, I have a list of that may have what you're looking for

  • My other cube pages See for solving the 3x3x3 cube

  • This is a more detailed solution for the 3x3 than the one I provide (mirrored from the now missing http://www.calormen.com/vpm/puzzlesolutions/rubikscube/) See for solving the 4x4x4 cube (mirrored from the now missing http://www.calormen.com/vpm/puzzlesolutions/revenge/) As a preview, the steps are: Solve the top and Correctly position and orient the bottom four (remaining four) corners and Complete the bottom and Correctly position and orient the four remaining middle edge pieces

  • HOW TO SOLVE A RUBIKS CUBE ?



    Adam's Rubiks Cube Solution
    A corners-first method, optimized for visual speed.

  • Adam's Rubiks Cube Solution Yet another description of how to solve the cube

  • My solution was strongly influenced by conversations with Jeff Varasano, back in the early 80's when the cube was still popular..

  • This solution is optimized for visual speed , because the slowest part of solving the cube is not making the moves, but locating the pieces to place

  • Hence it is very color oriented, using easy-to-spot patterns instead of more difficult questions most solutions normally require, such as "where is the correct position for this corner relative to its center pieces?" With a good cube, I was averaging (in 1981) 26 seconds over 100 attempts

  • Today, with a bad cube and out of practice, I would probably average around 45 or 50 seconds

  • During this solution, I've included instructions for both the expert cubist (fastest possible solution, but requires lots of memorizing), or for the beginner (memorize only four easy patterns to solve the whole cube, but takes much longer)

  • The pictures represent the cube as if you were looking at it straight on, at eye level

  • In all cases, the pictures below represent turning just one slice of the cube


    Method
    Describes the method of 1982 World Championships runner up Guus Razoux Schultz,
    along with other methods invented by Masayuki himself.

  • But you need only a few algorithms even just two algorithms you can solve a Rubik's cube


    Wedran's Cube Solution
    Web program that will solve your cube giving you step by step instructions.

  • THE CUBE -Virtual Maschine v.3 Do you have a Rubik's Cube that you have not been able to solve? This program will solve your Rubik's Cube puzzle

  • 'We turn the Cube and it twists us.' -Erno Rubik


    Magic Cube 4D
    This downloadable software allows you to play with a 4D Rubik's Cube on your own
    computer. The software is Windows, Linux, and UNIX compatible.

  • Magic Cube 4D MagicCube4D is a fully functional four-dimensional analog of Rubik's cube

  • If you solve it with or without reading the solution, send us your log file and we'll list you in the MagicCube4D hall of fame too! The mathematically inclined may be interested to know that the number of possible states for the 4D cube is exactly (24!x32!)/2 x 16!/2 x 2^23 x (3!)^31 x 3 x(4!/2)^15 x 4 which can also be expressed as 32! 24! 16! 2^22 6^32 12^15 or in decimal as 1 756 772 880 709 135 843 168 526 079 081 025 059 614 484 630 149 557 651 477 156 021 733 236 798 970 168 550 600 274 887 650 082 354 207 129 600 000 000 000 000 For comparison, the normal 3D Rubik's Cube has only 432 520 032 274 489 856 000 unique positions which is still huge

  • On the other hand, the 4D cube has more potential positions than the total number of atoms in the universe! Far more

  • Surprisingly, even though the number of 4D cube positions is frightenly large this doesn't mean this puzzle is that many times harder to solve

  • If you can already solve the 3D cube, then you're more than half way to solving this one

  • New! Believe it or not, recently wrote a that he and some others have even solved! After you get into the 4D hall-of-fame you may want to try for the ! New! Also of interest: David Vanderschel recently wrote a 3D Rubik's cube simulator using the 3D equivalent of the 4D projection and user interface to the 4D puzzle which he naturally calls


    Zborowski site to solve the 3x3x3 Rubik’s cube
    An enormous system of algorithms (300, excluding symmetries), that enables the
    cube to be solved in 40 moves, on average.

  • Expert method to solve the 3x3x3 Rubik’s cube If you want to solve the cube using only 40 (say: fourty) moves – you are at the right site

  • I am talking about the number of moves on average, of course! The essential advantage of my system is that you can use it in speedcubing! In speedcubing you use about 47 moves – this lets you solve the cube in 15! (estimated) seconds (on average, of course)


    Rubik's cube by Georges Helm
    Rubik's Cube fan site and information page, includes virtual cube and solutions.

  • Rubik's Cube by By Karl Hörnell, March 11, 1996

  • - Although the cube had been invented as early as 1975 by Ernö Rubik, the cube fever spread only in 1980 to last until 1983

  • But since the use of internet has been established world-wide, the cube has been kissed to life once again

  • And the cube is feeling fine! Here is the of my cube collection (updated July 12th, 2006)

  • Solutions to the Rubik's Cubes and alike For those interested in solutions, here are two lists with up to 650 solutions of my private collection

  • Solutions to 2x2x2 cubes, 3x3x3 cubes, 4x4x4 cubes, 5x5x5 cubes, pyraminx, barrel....

  • 25.6.2005 - Great News! I have a 6x6x6 cube! Look at my (scroll down to 6x6x6 cubes) to see some pics or click the above photo to see some moves on the 6x6x6

  • And more nxnxn cubes to come soon, where n > 6

  • Mr Βερδές, a Greek inventor, has patented a new system that makes it possible to construct these cubes

  • Though the cube is not forgotten, the newsletter covers other puzzles as well

  • (cube-lovers@MIT will know him) has a Web-site


    Dan's Rubik's Cube Solution Page
    Easy to follow Rubik's Cube eight step corners first solution, with illustrations
    and explanations.

  • I first learned to solve the cube when I was nine years old

  • When I was ten, I entered a Rubik's Cube contest and placed in the top ten for the 17 and younger group

  • Back in the cubing days, I could solve the cube in less than 30 seconds

  • Most of my solution method comes from Jeff Varasano's book Jeff Conquers the Cube in 45 seconds

  • I have seen other solutions where you solve the cube in slices, but it seems more complicated and there are too many 'shortcut' moves to know

  • Introduction to the Cube The Rubik's Cube is a six color cube made up of 9 squares of each color on each face

  • According to the, there are 43, 252, 003, 274, 489, 000 different possible configuations, but only one of these configurations presents the 'solved' Cube

  • There are a couple of different color arrangements for the cube

  • But I also have a cube at home which has Blue and White opposites and Yellow and Green opposites

  • The Rubik's Cube is moved by rotating each face (slice) around it's center piece, thus mixing up the 4 faces on the edges of the rotated slice

  • The slices can be labeled and named: When most people start thinking about the cube, they see nine squares of each color that can be put in any random place on the cube


    Rubik's Cube Solutions plus Puzzles and 8-Balls
    Presents solutions to Rubik's Cube and Rubik's Revenge, and provides some background
    in cube group theory.

  • Rubik's Cube Solutions plus Puzzles and 8-Balls Contents: Introduction Cube Links Basic Cube Group Theory Rubik's Cube Solution Cube Solution Supplement for Patterned Faces Rubik's Revenge Solution Advanced Cube Group Theory My Cube and Puzzle Collection My old racing Rubik's Cube is well-worn and barely holds together

  • A cube has 43, 252, 003, 274, 489, 856, 000 (over 4 X 10^19) different positions

  • If you take a cube apart, there are 12 different ways that you can put it together such no set of moves will take the cube from one of the 12 assemblies to the other

  • When I was in practice, I could solve a scrambled cube in about a minute using about 65 moves (counting slices as a single move)

  • A Rubik's Revenge Cube from 1982

  • A Rubik's Revenge Cube has 7, 401, 196, 841, 564, 901, 869, 874, 093, 974, 498, 574, 336, 000, 000, 000 (over 7 X 10^45) different positions

  • When I was in practice, it took about twice as long and about twice as many moves to solve as the original cube

  • For an idea of the size of the number of possible positions on a Rubik's Revenge cube, note that a Rubik's Revenge cube is 2.6 inches (6.5 cm) per side and the earth's orbit around the sun has an average radius of 93 million miles (150 million Km) or about 2.3 X 10^12 cubes


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