Difference between revisions of "Guimond Method"

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Guimond solves the cube by orienting both layers, then permuting both layers ([[PBL]]). This method is very popular because it is efficient. For the first step, solve just 3/4 of a face of opposite colors, which means you have to get three stickers of one color and the opposite color on one face. You can usually get this step in one move or less, so you can look forward to the next step. In the next step, you finish the face and orient the opposite one, so that you have two opposite faces of opposite colors. Then you sort the opposite colors by putting all of one color onto one face and all of the other color onto the other, and finally you permute both layers like in Ortega. Except for the last step, all of these steps usually take four or less moves, and experienced users can often look all the way through to the last step during inspection. Guimond requires 21 algorithms (or 13 without reflections).
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Guimond solves the cube by orienting both layers, then permuting both layers ([[PBL]]). This method is very popular because it is move efficient, and can be reduced to a 2-look method for more experienced users. Guimond requires 23 algorithms (or 16 without reflections).
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== Steps ==
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# Solve just 3/4 of a face of opposite colours. Opposite colours are just colours which appear at opposite ends of the cube. White/Yellow for example (western scheme). For colour neutral solvers this step is often skipped. If not it rarely requires more than 1 move, which makes for easy planning of the next step.
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# Solve 2 opposite faces of opposite colours. This step has 16 cases (15 excluding solved, 8 excluding mirrors). The majority of algorithms are 3 or 4 moves, with the exception of 4 cases.
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# Separate opposite colours to create two solved opposite faces. There are 6 cases (4 excluding the solved and trivial case, 3 if using x2 rotation). The optimal algs have a move counts of 1, 3, 3 and 5 moves.
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# Permute both layers [[PBL]]. This is exactly the same as the final step in Ortega, making these two methods complementary.
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== Guimond as a Beginner Method ==
 
== Guimond as a Beginner Method ==

Revision as of 01:30, 9 July 2010

Guimond method
Guimond.gif
Information about the method
Proposer(s): Gaétan Guimond
Proposed: 1980s
Alt Names: none
Variants: none
No. Steps: 3
No. Algs: 23 (2 for beginner)
Avg Moves: unknown
Purpose(s):


Guimond solves the cube by orienting both layers, then permuting both layers (PBL). This method is very popular because it is move efficient, and can be reduced to a 2-look method for more experienced users. Guimond requires 23 algorithms (or 16 without reflections).

Steps

  1. Solve just 3/4 of a face of opposite colours. Opposite colours are just colours which appear at opposite ends of the cube. White/Yellow for example (western scheme). For colour neutral solvers this step is often skipped. If not it rarely requires more than 1 move, which makes for easy planning of the next step.
  2. Solve 2 opposite faces of opposite colours. This step has 16 cases (15 excluding solved, 8 excluding mirrors). The majority of algorithms are 3 or 4 moves, with the exception of 4 cases.
  3. Separate opposite colours to create two solved opposite faces. There are 6 cases (4 excluding the solved and trivial case, 3 if using x2 rotation). The optimal algs have a move counts of 1, 3, 3 and 5 moves.
  4. Permute both layers PBL. This is exactly the same as the final step in Ortega, making these two methods complementary.


Guimond as a Beginner Method

Gaimond makes a slightly more efficient and intuitive alternative to Beginner LBL. The beginner method procedure is as follows:

  1. Use intuition to orient three cubies on both U and D faces. Mixing U/D colours at this stage is fine, as long as each U/D face has three oriented cubies (ie. with U or D colour on top).
  2. Using a U face turn, place the misoriented U-face cubie in URF. Flip the cube using x2 and do the same for the opposite layer.
  3. Now check the orientation of the misoriented URF cubie. If the U/D colour is facing you, use x2 to flip the cube. Now the misorineted cubie should have the U/D colour facing to the right.
  4. Apply the algorithm R' F U' R to complete orientation of the U/D faces.
  5. Using F2 R2 and U moves, swap U/D cubies until the U-face contains only U colour.
  6. Now look at the U layer only
    • If you see 1 bar, position the cube (using y turns) so that the bar is in the back face. Apply the algorithm R' F R' B2 R F' R' B2 R2 (A-perm).
    • If there are no bars apply A-perm to create a bar.
  7. Do x2 and repeat step 6 for the D layer to complete the cube.

Guimond-style 3x3x3 Method

It is possible to solve the 3x3x3 cube using the same basic phases of the 2x2x2 Guimond method. The method is broken down into:

  1. Orientation of all the pieces
    • Orientation of edges (see EOLine)
    • Orientation of corners (same as Guimond, but preserving EO)
  2. Separation of the U/D Layer
    • Move all mid-edges into E-slice
    • Corner Separation (same as Guimond)
    • Edge Separation
  3. Permutation of all the pieces
    • Final solve of E-Slice
    • U/D layer permutation (Using PLL)

Predicted Separation

This is a more advanced form of regular Guimond, which allows one look to be eliminated. During inspection the solver works out the separation case (step 2), so that the separation alg can be executed immediately after the first step, without pause.

2 Step Guimond

This goes one step further than predicted separation and actually carries out separation and orientation (steps 1 and 2) all at the same time. The solver starts with three corners, then uses a larger set of algs to solve orientation and separation in one step. This is similar to the SS method, but requires more algorithms.

Ortega-style OLL

Where a scramble leaves one face with four oriented U/D corners, it is possible to simply use an Ortega OLL alg to bring the cube straight to the separation step. Because mixing of U/D colours doesn't matter in this step, slightly more efficient algorithms may be used. See OLL (2x2x2)

See Also

External Links