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| HOW TO FIND YOUR VERY OWN PERSONAL WAYS TO SOLVE RUBIK'S CUBE |
| (Preliminary April 20, 2007 version) |
| by Mr. Ray Calvin Baker |
| FREE Public Domain Educational Material |
| |
| Chapter Ten - - - - - - - - - - Reference Summary of Useful Operations |
| |
| In a "group", (and mathematical group theory is a part of finite discrete mathematics |
| relevant to the solution of Rubik's Cube and many other puzzles) every operation has an |
| inverse operation which undoes what that operation does. The most important operation in a |
| group is the identity operation -- it does nothing at all! A Cube fresh from the factory |
| represents the identity operation. Scrambling the Cube is another operation. Applying the |
| inverse of that scrambling operation is your goal. It restores the Cube to its pristine |
| condition, as if nothing at all had been done. |
| |
| Here is a reference summary of the most useful moves, as scribbled on my work sheets. |
| |
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| |
| INTERCHANGE THREE CORNER CUBIES |
| |
| _ a _ (h) _ a _ (*) _ g _ (*) _ g _ (h) |
| b _ T _ c * _ T _ * * _ T _ * b _ T _ c |
| | F d R | | F d R | "Fv R^ F^ Rv T2" | F a R | | F a R | |
| e _ | _ f * _ | _ * ---------------> * _ | _ * e _ | _ f |
| g g d d |
| |
|---------------------------------------------------------------------------------------------|
| |
| INTERCHANGE TWO CORNER CUBIES |
| |
| 1st: "Fv R^ F^ Rv T2" |
| _ a _ (h) _ * _ (*) 2nd: "L^" _ * _ (*) _ a _ (h) |
| b _ T _ c * _ T _ * 3rd: "Fv R^ F^ Rv T2" * _ T _ * b _ T _ c |
| | F d R | | F d R | 4th: "Fv R^ F^ Rv T2" | F g R | | F g R | |
| e _ | _ f * _ | _ * 5th: "Lv" * _ | _ * e _ | _ f |
| g g 6th: "Rv Tv R^" d d |
| ---------------> |
| |
|---------------------------------------------------------------------------------------------|
| |
| CHANGE ORIENTATION OF TWO CORNER CUBIES _ * _ Corner |
| * _ 1 _ * cubie |
| 1st: "Fv R^ Fv R^ Fv R^" | 3 * 2 | before... |
| 0 0 0 0 0 2nd: "Fv R^ Fv R^ Fv R^" 0 + - 0 0 * _ | _ * |
| 0 0 0 0 0 3rd: "Fv" 0 0 0 0 0 _ * _ * _ * _ |
| [F] [k] 4th: "Fv R^ Fv R^ Fv R^" [F] [K] * _ 2 _ * * _ 3 _ * |
| 5th: "F^" | 1 * 3 | | 2 * 1 | |
| ------------------> * _ | _ * * _ | _ * |
| * * |
| ...after "+". ...after "-". |
| |
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| |
| INTERCHANGE THREE EDGE CUBIES |
| |
| +--+ +--+ +--+ +--+ +--+ +--+ +--+ +--+ |
| | | |#3| | | |#2| Down-slice: "2R^ Rv" | | |#1| | | |#3| |
| +--+--+--+--+--+--+--+--+--+ TOP twice: "T2" +--+--+--+--+--+--+--+--+--+ |
| | | L| | F| | R| | K| | Up-slice: "2Rv R^" | | L| | F| | R| | K| | |
| +--+--+--+--+--+--+--+--+--+ TOP twice: "T2" +--+--+--+--+--+--+--+--+--+ |
| | | | | | | |#1| -------> | | | | | | |#2| |
| +--+ +--+ +--+ +--+ +--+ +--+ +--+ +--+ |
| |
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| |
| CHANGE ORIENTATION OF TWO EDGE CUBIES |
| |
| Down-slice: "2R^ Rv" (Only the orientation of |
| Turn TOP: "Tv" marked edge cubies |
| Down-slice: "2R^ Rv" is changed -- "flipped",) |
| +--+ +--+ +--+ +--+ Turn TOP: "Tv" +--+ +--+ +--+ +--+ |
| | | |#3| | | |#2| Down-slice: "2R^ Rv" | | |#3| | | |#2| |
| +--+--+--+--+--+--+--+--+--+ TOP twice "T2" +--+--+--+--+--+--+--+--+--+ |
| | | L| | F| | R| | K| | Up-slice: "2Rv R^" | | L| | F| | R| | K| | |
| +--+--+--+--+--+--+--+--+--+ Turn TOP: "Tv" +--+--+--+--+--+--+--+--+--+ |
| | | | | | | | | Up-slice: "2Rv R^" | | | | | | | | |
| +--+ +--+ +--+ +--+ Turn TOP: "Tv" +--+ +--+ +--+ +--+ |
| Up-slice: "2Rv R^" (Rubik's Maneuver does not change |
| TOP twice: "T2" position of any cubie.) |
| |
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| |
| Don't forget that you can use the ideas in Chapter Six, "Customize Your Moves -- |
| Commutation", to "customize" these fundamental operations for those situations where the |
| Cube you are working with doesn't quite agree with the diagrams! |
| |
| I hope this book has helped you to solve the Cube. But, even more, I hope it has |
| encouraged you to seek and find more efficient methods -- YOUR VERY OWN PERSONAL WAYS |
| TO SOLVE RUBIK'S CUBE. |
| |
| By the way, if you ever get tired of plain colors on all six sides of your Cube, you can |
| look for "Pretty Patterns" to make your Cube look more decorative. Try |
| "2R2 R2 2F2 F2 2T2 T2" for a start. Douglas Hofstadter invented an entire alphabet, |
| so you can even make your Cube spell out messages (or at least your initials). |
| |
| Now you should be ready to write Chapter Eleven, "MY VERY OWN PERSONAL WAY TO SOLVE RUBIK'S |
| CUBE"! Then we can all say, |
| " The end. ". |
| |
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