+---------------------------------------------------------------------------------------------+
| HOW TO FIND YOUR VERY OWN PERSONAL WAYS TO SOLVE RUBIK'S CUBE |
| (Preliminary April 20, 2007 version) |
| by Mr. Ray Calvin Baker |
| FREE Educational Material |
| |
| Chapter Eight - - - - - - - - - Moving Edge Cubies |
| |
| Goal Three is to locate each of the twelve edge cubies at the proper edge of the Cube. This |
| is going to take some different moves that leave the locations and orientations of the |
| corner cubies unchanged. We will be using some two-layer turns that move some of the |
| centers of several faces as well. Consequently, we will need some new landmarks. |
| |
| This is not as difficult as it sounds, because, at this stage, all of the corner cubies |
| should be properly located and oriented. Here is what is called the "down-slice" move. |
| (It's called a "down-slice" because the three cubies on the FRONT move DOWN.) |
| |
| _ * _ (1) _ * _ (7) _ * _ (7) |
| _ * _ T _ * _ / _ * _ T _ * _ / _ * _ T _ * _ / |
| _ * _ ? _ * _ 2 _ * _ _ * _ ? _ * _ 8 _ * _ _ * _ ? _ * _ 8 _ * _ |
| * _ T _ * _ T _ * _ T _ * * _ T _ * _ k _ * _ k _ * * _ T _ * _ k _ * _ T _ * |
| | * _ 3 _ * _ ? _ * | | * _ 1 _ * _ ? _ * | | * _ 1 _ * _ ? _ * | |
| | F | * _ T _ * | R | | F | * _ k _ * | R | | F | * _ T _ * | R | |
| * _ | 4 | * | ? | _ * * _ | 2 | * | ? | _ * * _ | 2 | * | ? | _ * |
| | * _ | F | R | _ * | | * _ | t | R | _ * | | * _ | F | R | _ * | |
| | ? | * _ | _ * | ? | | ? | * _ | _ * | ? | | ? | * _ | _ * | ? | |
| * _ | F | * | R | _ * 2R^ * _ | t | * | R | _ * Rv * _ | t | * | R | _ * |
| | * _ | ? | ? | _ * | --> | * _ | ? | ? | _ * | --> | * _ | ? | ? | _ * | |
| | F | * _ | _ * | R | | F | * _ | _ * | R | | F | * _ | _ * | R | |
| * _ | 5 | * | ? | _ * * _ | 3 | * | ? | _ * * _ | 3 | * | ? | _ * |
| * _ | F | R | _ * * _ | t | R | _ * * _ | F | R | _ * |
| / * _ | _ * / * _ | _ * / * _ | _ * |
| (6) * (4) * (4) * |
| |
| DIAGRAM 8-1. The Down-Slice Move |
| |
| Notice the new landmarks in this process -- the LEFT and RIGHT sides, and the BOTTOM, |
| FRONT, BACK, and TOP edges of the LEFT layer have all stayed neatly arranged. The change to |
| the BOTTOM, FRONT, BACK, and TOP was only temporary. (I used "t" and "k" to indicate those |
| faces that started on TOP or on the BACK; notice how they ended up exactly where they |
| started.) |
| |
| Next, I will show you how a simple move (T2) and the "up-slice" can be used together to |
| create a very useful three way shuffle of edge cubies. |
| |
| _ * _ (7) _ * _ (2) |
| _ * _ T _ * _ / _ * _ T _ * _ / |
| _ * _ ? _ * _ 8 _ * _ _ * _ ? _ * _ 1 _ * _ |
| * _ T _ * _ k _ * _ T _ * * _ T _ * _ k _ * _ T _ * |
| | * _ 1 _ * _ ? _ * | | * _ 8 _ * _ ? _ * | |
| | F | * _ T _ * | R | | k | * _ T _ * | l | |
| * _ | 2 | * | ? | _ * * _ | 7 | * | ? | _ * |
| | * _ | F | R | _ * | | * _ | k | l | _ * | |
| | ? | * _ | _ * | ? | | ? | * _ | _ * | ? | |
| * _ | t | * | R | _ * T2 * _ | t | * | R | _ * |
| | * _ | ? | ? | _ * | --> | * _ | ? | ? | _ * | |
| | F | * _ | _ * | R | | F | * _ | _ * | R | |
| * _ | 3 | * | ? | _ * * _ | 3 | * | ? | _ * |
| * _ | F | R | _ * * _ | F | R | _ * |
| / * _ | _ * / * _ | _ * |
| (4) * (4) * |
| |
| DIAGRAM 8-2. Turn the TOP Layer Twice |
| |
| _ * _ (2) _ * _ (8) _ * _ (8) |
| _ * _ T _ * _ / _ * _ T _ * _ / _ * _ T _ * _ / |
| _ * _ ? _ * _ 1 _ * _ _ * _ ? _ * _ 7 _ * _ _ * _ ? _ * _ 7 _ * _ |
| * _ T _ * _ k _ * _ T _ * * _ T _ * _ T _ * _ k _ * * _ T _ * _ T _ * _ T _ * |
| | * _ 8 _ * _ ? _ * | | * _ 3 _ * _ ? _ * | | * _ 3 _ * _ ? _ * | |
| | k | * _ T _ * | l | | k | * _ f _ * | l | | k | * _ T _ * | l | |
| * _ | 7 | * | ? | _ * * _ | 4 | * | ? | _ * * _ | 4 | * | ? | _ * |
| | * _ | k | l | _ * | | * _ | b | R | _ * | | * _ | k | l | _ * | |
| | ? | * _ | _ * | ? | | ? | * _ | _ * | ? | | ? | * _ | _ * | ? | |
| * _ | t | * | R | _ * 2Rv * _ | F | * | R | _ * R^ * _ | F | * | R | _ * |
| | * _ | ? | ? | _ * | --> | * _ | ? | ? | _ * | --> | * _ | ? | ? | _ * | |
| | F | * _ | _ * | R | | F | * _ | _ * | l | | F | * _ | _ * | R | |
| * _ | 3 | * | ? | _ * * _ | 5 | * | ? | _ * * _ | 5 | * | ? | _ * |
| * _ | F | R | _ * * _ | b | R | _ * * _ | F | R | _ * |
| / * _ | _ * / * _ | _ * / * _ | _ * |
| (4) * (6) * (6) * |
| |
| DIAGRAM 8-3. The Up-Slice Move |
| |
| _ * _ (8) _ * _ (4) _ * _ (1) |
| _ * _ T _ * _ / _ * _ T _ * _ / _ * _ T _ * _ / |
| _ * _ ? _ * _ 7 _ * _ _ * _ ? _ * _ 3 _ * _ _ * _ ? _ * _ 2 _ * _ |
| * _ T _ * _ T _ * _ T _ * * _ T _ * _ T _ * _ T _ * * _ T _ * _ T _ * _ T _ * |
| | * _ 3 _ * _ ? _ * | | * _ 7 _ * _ ? _ * | | * _ 3 _ * _ ? _ * | |
| | k | * _ T _ * | l | | F | * _ T _ * | R | | F | * _ T _ * | R | |
| * _ | 4 | * | ? | _ * * _ | 8 | * | ? | _ * * _ | 4 | * | ? | _ * |
| | * _ | k | l | _ * | | * _ | F | R | _ * | | * _ | F | R | _ * | |
| | ? | * _ | _ * | ? | | ? | * _ | _ * | ? | | ? | * _ | _ * | ? | |
| * _ | F | * | R | _ * T2 * _ | F | * | R | _ * * _ | F | * | R | _ * |
| | * _ | ? | ? | _ * | --> | * _ | ? | ? | _ * | | * _ | ? | ? | _ * | |
| | F | * _ | _ * | R | | F | * _ | _ * | R | | F | * _ | _ * | R | |
| * _ | 5 | * | ? | _ * * _ | 5 | * | ? | _ * * _ | 5 | * | ? | _ * |
| * _ | F | R | _ * * _ | F | R | _ * * _ | F | R | _ * |
| / * _ | _ * / * _ | _ * / * _ | _ * |
| (6) * (6) * (6) * |
| Compare this... ... with the starting position. |
| |
| DIAGRAM 8-4. Exchanging Three Edge Cubies |
| |
| After doing T2 a second time, all corner cubies have been restored to their places, with |
| the correct orientation. The edge cubie marked "5" and "6" is also back where it started. |
| But the edge cubie marked "1" and "2" has gone to the BOTTOM BACK location. The edge cubie |
| marked "7" and "8" has gone to the FRONT TOP location, and the cubie marked "3" and "4" has |
| gone to the BACK TOP location. We have a very useful 3-cycle! |
| |
| In fact, this three-way shuffle is so simple, easy, and effective that you should memorize |
| it (forwards and backwards, if you would like!). |
| |
| You may use customization to shuffle any three edge cubies, but be careful -- many a Cube |
| has gotten re-scrambled because someone forgot (or messed up) step 3 of the customization |
| process. You can proceed one edge cubie at a time, until only three edge cubies are out of |
| place. (One final three-way shuffle will put these three cubies into their proper places.) |
| I suggest that you line up (1) one edge cubie (#1) which is out of place, (2) the edge |
| cubie which belongs in the space occupied by edge cubie #1, and (3) any other edge cubie |
| which is out of place (#3). Then the three way shuffle (if done in the proper direction) |
| will restore one edge cubie (#2) to its proper location. Do not forget step 3 of the |
| customizing process! |
| |
| _ * _ (1) |
| _ * _ T _ * _ /...........Locate the edge cubie which belongs |
| _ * _ ? _ * _ 2 _ * _ in the BOTTOM BACK location "#2" |
| * _ T _ * _ T _ * _ T _ * here at the BACK TOP edge. |
| Locate any other ........._ 3 _ * _ ? _ * | |
| out-of-place edge | F | * _ T _ * | R | |
| cubie "#3" here * _ | 4 | * | ? | _ * |
| at the FRONT TOP | * _ | F | R | _ * | |
| edge. | ? | * _ | _ * | ? | |
| * _ | F | * | R | _ * ..... Locate an out-of-place edge cubie "#1" |
| | * _ | ? | ? | _ * | at the BOTTOM BACK edge. |
| | F | * _ | _ * | R | (it's hidden in back.) |
| The edge cubie * _ | 5 | * | ? | _ * |
| at BOTTOM FRONT..........._ | F | R | _ * This is another view of the starting |
| gets returned to / * _ | _ * position for shuffling three edge |
| this position. (6) * cubies. |
| |
| DIAGRAM 8-5. Recommended Way to Position Edge Cubies |
| |
| Let's try to develop another type of diagram to showw all twelve edge cubies. This may make |
| "customization" easier to visualize, as we put all twelve edge cubies into their proper |
| places. I start with diagram 5-6, but, instead of emphasizing the corner cubies, I |
| concentrate on the twelve edge cubies. The result is diagram 8-6. Leaving out a few more |
| lines results in diagram 8-7. |
| |
| * This is a repeat * |
| |\ of diagram 5-6F /| |
| | * from Chapter Five. * | |
| *d|\ /|d* |
| | | * * |/| |
| | *?| /|?* | |
| * |\| \_ _/ |/| * |
| |\| * * _ _ * * |/| Exploded TOP Side |
| | *?|\ A | * _ _ * | 3 /|?* | |
| *?|\| * _ | ? | - | ? | _ * |/|?* vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv |
| |\| *a| * _ | B | _ * |c* |/| | d | ? | A | ? | B | | | 3 | ? | d | |
| | *L|\| 1 | * _ _ * | C |/|K* | +---+---+---+---+---+---+---+---+---+---+---+---+ |
| *\|?* _ | ? | * | ? | _ * |/| * | | ? | a | 1 | ? | 2 | b | ? | C | c | ? | | | |
| | \| * | * _ | 2 | b | _ * |?* |/| +---+---+---+---+---+---+---+---+---+---+---+---+ |
| | *?|\| ? | * _ | _ * | ? |/|?* | | ? | L | ? | ? FRONT ? | ? RIGHT ? | ? | K | ? | |
| * |\| * _ FRONT * RIGHT _ * |/| * +---+---+---+---+---+---+---+---+---+---+---+---+ |
| \| *E| * _ | ? | ? | _ * |7* |/ | | ? | E | e | ? | 6 | f | ? | g | 7 | ? | | |
| *?|\| e | * _ | _ * | g |/|?* +---+---+---+---+---+---+---+---+---+---+---+---+ |
| \| * _ | ? | * | ? | _ * |/ | | ? | 5 | ? | F | ? | G | ? | | |
| * * _ | 6 | f | _ * * ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
| \ 5 | * _ | _ * | G / |
| \_ | ? | * | ? | _/ Exploded BOTTOM Side |
| * _ | F | _ * |
| * _ _ * This time, we will ignore the corner cubies... |
| - |
| |
| We Are Unwrapping the Cube (Again!) |
| |
| DIAGRAM 8-6A. DIAGRAM 8-6B. |
| |
| (exploded TOP) |
| +----+ +----+ +----+ +----+ |
| | lt | | ft | | rt | | kt | |
| + --+----+-- + --+----+-- + --+----+-- + --+----+-- + |
| | | lt | | | ft | | | rt | | | kt | | |
| +----+----+----+----+----+----+----+----+----+----+----+----+----+----+ |
| | kl | kl |LEFT| fl | fl |FRONT fr | fr |RIGHT kr | kr |BACK| kl | kl | |
| +----+----+----+----+----+----+----+----+----+----+--=-+----+----+----+ |
| / | | bl | | | bf | | | br | | | bk | | \ |
| Overlap + --+----+-- + --+----+-- + --+----+-- + --+----+-- + Note |
| | bl | | bf | | br | | bk | the |
| +----+ +----+ +----+ +----+ overlap. |
| (exploded BOTTOM) |
| |
| DIAGRAM 8-6C. ... and emphasize the edge cubies. |
| |
| DIAGRAM 8-6. A New Type of Diagram Emphasizes the Edge Cubies |
| |
| Eventually, you will line up the last three corner cubies, shuffle them into place, and |
| undo the moves you made to line up those three edge cubies for the shuffle. That should |
| complete the accomplishment of goal three for you! (Yes, it is possible that all twelve |
| edge cubies were already in their correct locations. You don't need to use Chapter Eight at |
| all when that happens!) |
| |
| For the sake of completeness, here is a discussion of a way to position the three cubies |
| (#1,#2, and #3) as indicated in diagram 8-5. I am going to assume that you can identify one |
| edge cubie (#1) which is not in the correct location, then rotate the entire Cube until #1 |
| is positioned at the BOTTOM BACK edge of the Cube. You may want to keep careful notes as |
| you proceed. You will need to remember how to undo both parts of this two-part |
| customization process. |
| |
| After we have rotated the Cube to get the #1 edge cubie into the BOTTOM BACK |
| position, there are eleven possible places to find edge cubie #2. |
| |
| Part 1 Case 1. +----+ +----+ +----+ +----+ |
| | #2 | | | | | | |<--This is where we want #2. |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | | K | | Customizing Move: |
| +----+----+----+----+----+----+----+----+----+ "Tv". |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| Part 1 Case 2. +----+ +----+ +----+ +----+ |
| | | | #2 | | | | |<--This is where we want #2. |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | | K | | Customizing Move: |
| +----+----+----+----+----+----+----+----+----+ "T2". |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| Part 1 Case 3. +----+ +----+ +----+ +----+ |
| | | | | | #2 | | |<--This is where we want #2. |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | | K | | Customizing Move: |
| +----+----+----+----+----+----+----+----+----+ "T^". |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| Part 1 Case 4. +----+ +----+ +----+ +----+ |
| | | | | | | | #2 |<--This is where we want #2. |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ none needed for part one. |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| Part 1 Case 5. +----+ +----+ +----+ +----+ |
| | | | | | | | |<--This is where we want #2. |
| +----+----+----+----+----+----+----+----+----+ |
| | #2 | L | | F | | R | | K | #2 | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "Lv Tv". |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| Part 1 Case 6. +----+ +----+ +----+ +----+ |
| | | | | | | | |<--This is where we want #2. |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | #2 | F | | R | | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "L^ Tv". |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| Part 1 Case 7. +----+ +----+ +----+ +----+ |
| | | | | | | | |<--This is where we want #2. |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | #2 | R | | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "F^ T2". |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| Part 1 Case 8. +----+ +----+ +----+ +----+ |
| | | | | | | | |<--This is where we want #2. |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | #2 | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "R^ T^". |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| Part 1 Case 9. +----+ +----+ +----+ +----+ |
| | | | | | | | |<--This is where we want #2. |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "L2 Tv". |
| | #2 | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| Part 1 Case 10. +----+ +----+ +----+ +----+ |
| | | | | | | | |<--This is where we want #2. |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "F2 T2". |
| | | | #2 | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| Part 1 Case 11. +----+ +----+ +----+ +----+ |
| | | | | | | | |<--This is where we want #2. |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "R2 T^". |
| | | | | | #2 | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| DIAGRAM 8-7. Positioning Cubie #2 Without Disturbing #1 |
| |
| Now we need to position any other out-of-place edge cubie (#3), without disturbing either |
| edge cubie #1 or edge cubie #2. This is the second part of the two-part customization |
| process. You should be able to find an out-of-place edge cubie (#3) in one of the ten |
| locations shown in diagram 8-8. |
| |
| After we have rotated the Cube to get the #1 edge cubie into the BOTTOM BACK |
| position, and we have done Part 1 customizing moves to get the #2 edge cubie |
| into the BACK TOP position, there are ten possible places to find edge cubie #3. |
| |
| __ This is where we want #3. |
| Part 2 Case 1. / |
| +----+ +----+ +----+ +----+ |
| | #3 | | | | | | #2 | |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "Lv Fv". |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| __ This is where we want #3. |
| Part 2 Case 2. / |
| +----+ +----+ +----+ +----+ |
| | | | #3 | | | | #2 | |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ none needed for part two. |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| __ This is where we want #3. |
| Part 2 Case 3. / |
| +----+ +----+ +----+ +----+ |
| | | | | | #3 | | #2 | |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "R^ F^". |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| __ This is where we want #3. |
| Part 2 Case 4. / |
| +----+ +----+ +----+ +----+ |
| | | | | | | | #2 | |
| +----+----+----+----+----+----+----+----+----+ |
| | #3 | L | | F | | R | | K | #3 | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "L2 Fv". |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| __ This is where we want #3. |
| Part 2 Case 5. / |
| +----+ +----+ +----+ +----+ |
| | | | | | | | #2 | |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | #3 | F | | R | | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "Fv". |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| __ This is where we want #3. |
| Part 2 Case 6. / |
| +----+ +----+ +----+ +----+ |
| | | | | | | | #2 | |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | #3 | R | | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "F^". |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| __ This is where we want #3. |
| Part 2 Case 7. / |
| +----+ +----+ +----+ +----+ |
| | | | | | | | #2 | |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | #3 | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "R2 F^". |
| | | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| __ This is where we want #3. |
| Part 2 Case 8. / |
| +----+ +----+ +----+ +----+ |
| | | | | | | | #2 | |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "L^ Fv". |
| | #3 | | | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| __ This is where we want #3. |
| Part 2 Case 9. / |
| +----+ +----+ +----+ +----+ |
| | | | | | | | #2 | |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "F2". |
| | | | #3 | | | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| __ This is where we want #3. |
| Part 2 Case 10. / |
| +----+ +----+ +----+ +----+ |
| | | | | | | | #2 | |
| +----+----+----+----+----+----+----+----+----+ |
| | | L | | F | | R | | K | | Customizing Moves: |
| +----+----+----+----+----+----+----+----+----+ "Rv F^". |
| | | | | | #3 | | #1 | |
| +----+ +----+ +----+ +----+ |
| |
| DIAGRAM 8-8. Positioning Cubie #3 Without Disturbing #2 Or #1 |
| |
| When edge cubies #1, #2, and #3 are in position, do the three-way shuffle of edge cubies, |
| just as we developed it earlier in this chapter. Then undo the customization process you |
| used to get the three edge cubies into position. Be sure to undo part two (the part which |
| positioned edge cubie #3) first, then undo part one (the part which positioned edge |
| cubie #2) second. |
| |
| Let's just check to see if you really understand how to "undo" the "customization" process |
| whenn there are two parts to it, such as we have in this chapter. Here is an example. |
| Suppose, after manipulating the entire Cube to get edge cubie #1 into position, we find |
| that "Part 1 Case 11" is our situation, according to diagram 8-7. We apply the customizing |
| moves, "R2 T^". Then suppose we find that "Part 2 Case 10" is our situation for positioning |
| cubie #3. The customizing moves are "Rv F^", so we make these moves. Having gotten all |
| three edge cubies where we want them, we do the three-way shuffle, "Down-slice, TOP twice, |
| Up-slice, TOP twice", or "2R^ Rv T2 2R^ Rv T2". How do we "undo" the customization? | | |
| Answer for the example: the entire customization, both part one and part two, is this: |
| "R2 T^ Rv F^". So, to undo this. the moves are: "Fv R^ Tv R2". |
| |
| Common sense should allow you to correctly position all twelve edge cubies, using all of |
| the directions which I have given you in this chapter. However, you will need to be |
| careful, especially in selecting ways to "customize", and in "undoing" your customizations. |
| |
| Careful attention to the details of the 3-way shuffle may help you orient all edge cubies |
| as you go along, but Chapter Nine, "Rubik's Maneuver -- How to Flip Two Edge Cubies", is |
| provided just in case some edge cubies do not have the correct orientation. |
| |
# If you suceeded in getting all twelve edge cubies properly located, there are only #
# ((2 to the 12th power) / 2) = 4,096 / 2 = 2,046 ways these edge cubies can be oriented. We #
# are closing in on the final, complete solution -- all siz sides -- of the Cube! #
| |
+---------------------------------------------------------------------------------------------+
