8355 Method


The 8355 Method is a 3x3x3 beginner method invented by Reheart Sheu. It is similar to Layer by layer but uses much fewer algorithms.
Procedure
Solve the cross
(intuitive) Use the Cross step to have the Cross cube state.
Solve 3 corners
Use the Cross:3C step to have the 1st Layer1C cube state :
 (Beginner) Holding the cross on D, place Dlayer corners above their position in the Ulayer and repeat the sexy move (R U R' U') until placed.
 (Advanced) Intuitive
Solve 3 Eslice edges
Use the +3E edg keyhole step to have the F2L1 cube state (see Keyhole method) (Or by application of the alg R' U' R' U' R' U R U R and/or its mirror L U L U L U' L' U' L' )
Solve remaining edges
Use the F2L1:+5E step to have the 5 Corners Missing cube state:
 (Beginner) This can be done in 2 substeps (8355 keyhole method) :
 Solve 3 Ulayer edges: (intuitive) Hold the remaining unsolved corner+edge positions in the frontright. Using R or F', place a Ulayer edge into the correct position. Now twist the U layer to replace it with an unsolved Ulayer edge and undo the original R' or F move. Repeat until 3 Ulayer edges are solved.
 Solve the final 2 edges: Swap the FR Eslice edge with the edge in UF without disturbing the other edges using the alg R U R' U R U R' or its mirror F' U' F U' F' U' F, depending on the orientation of the edge in the slot.
Solve the final 5 corners
Use the 5CM:Sexy*+S step to have the Solved cube state: Flip the cube over so that 4 of the remaining corners are in the Dlayer and the other remaining corner is in the FR position of the Ulayer. The corner in the U layer will be used as a 'buffer'.
 If the corner in the buffer does not belong in the Dlayer apply the alg R U R' U' (the sexy move) once to place a Dlayer corner into the buffer.
 Twist the Dlayer until the corner in the buffer position is directly above its correct position in the Dlayer.
 Repeat the alg R U R' U' until the corner in the buffer position is placed correctly in the Dlayer.
 Repeat steps 1 to 3 until only 1 unsolved corner remains in the Dlayer.
 Position the final unsolved Dlayer corner under the buffer piece.
 Repeat the alg R U R' U' until either the whole cube is solved or only 2 unsolved corners remain. If the final D corner is solved resulting in a fully solved D layer but the rest of the cube is unsolved, continue applying the algorithm until you are left with two unsolved corners, then continue with the instructions below.
 Rotate the whole cube so that the Dlayer now contains the 2 unsolved corners, reassigning a solved corner in the Ulayer as the new buffer piece.
 Repeat steps 2 and 3 until the cube is solved.
Advancements
There are a number of advancements which can be made to lower the movecount and improve speed of execution. Here are a few of them:
 Solving the Cross: Minimise move count and plan the entire cross during inspection
 First 3 Corners: Use the inverse of the sexy move to reduce the number of repetitions required. For maximal efficiency, depending on the corner orientation use one of:
 R U R'
 F' U' F
 R B U2 B' R'
 Solve 3 Eslice edges: Combine first 3 corners and edges into one step by joining corner + edge pairs in the Ulayer and inserting as a pair, see F2L
 Solve ULayer edges: Try also building corner/edge pairs while solving the edges to reduce the number of corners left at the end, see Heise Method.
 Last 5 corners: Use the inverse of the sexy move (U R U' R') for corners requiring 5repetitions of the sexy move. More advanced: Use more efficient commutators to solve several corners simultaneously. See last step of Heise Method.
Example Solves
A Complete Solve
Scramble: F2 D' B2 R2 B2 D U2 L2 U' B2 F D2 B D2 R2 U' F R F' L' D'
 Cross (intuitive): R' L' F U L R2 B2
 Insert 3x Dlayer corners:
 (RUR'U')
 y' (RUR'U')
 y' d (RUR'U')*3
 Insert 3x Eslice edges:
 y2 (R'U'R'U'R'URUR)
 d2 (R'U'R'U'R'URUR)
 y' U' (R'U'R'U'R'URUR)
 Place 3x Ulayer edges (intuitive):
 y2 U2 R U' R' . y L' U L
 Bring final Ulayer edge into slot:
 y' (RUR'URUR')
 Now insert it into position:
 y U (L'U'LU'L'U'L)
 Flip cube over to solve final corners:
 x2 y2 D (RUR'U')*3
 D (RUR'U')
 D2 (RUR'U')*5
 D2 (RUR'U')*3 D2
Final 5 Corners: dealing with 2 unoriented corners
Scramble: R U R' D R U' R' D' R U R' D' R U' R' D
 D' (R U R' U')  first corner
 D (R U R' U')  bring second corner into buffer
 D (R U R' U')*5  solve second corner
 D' (R U R' U')  third corner. Notice, the corner is solved but the rest of the cube is scrambled.
 (R U R' U')*4  repeat alg until the cube is solved except for two unoriented corners.
 x'  reassign dlayer to contain the 2 unsolved corners.
 (R U R' U')*4  solve the first one
 D' (R U R' U')*2  finally, solve the second one.
Final 5 Corners: another example
Scramble: D2 R U R' D R U' R' D' R U R' D' R U' R' D'
 D (R U R' U')  first corner.
 D (R U R' U')  bring second corner into buffer.
 D (R U R' U')*5  solve second corner.
 D' (R U R' U')*5  attempt to solve third corner. Not possible, so repeat until only 2 unsolved corners remain.
 x'  rotate cube so that 2 corners are in the Dlayer.
 (R U R' U')*4  solve first unoriented corner.
 D' (R U R' U')*4 D  solve second unoriented corner.
 x D2  fix bottom layer.
See also
External links
 Speedsolving.com: 8355 method: easy way to solve cube?
 Speedsolving.com: 8355 Modified
 Speedsolving.com: 8355  Problems with last 5 corners
 Chinese Tutorial
 Chinese Tutorial (translated to English)
 Chinese Video
 German Tutorial