8355 Method
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The 8355 Method is a 3x3x3 beginner method invented by Reheart Sheu. It is similar to Layer by layer but uses much fewer algorithms.
Contents
Procedure
 Solve the cross: (intuitive).
 Solve 3 corners: 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.
 Solve 3 Eslice edges: Either using the 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 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: 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.
 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