# Last Four Corners

 Last Four Corners Information Proposer(s): unknown Proposed: unknown Alt Names: L4C Variants: none Subgroup: No. Algs: 84 Avg Moves: 11.73 (Optimal HTM) Purpose(s): Speedsolving, FMC, BLD Previous state: LL:EO+EP cube state Next state: Solved cube state
 The Last Four Corners step is the step between the LL:EO+EP cube state and the Solved cube state.

Last four corners, abbrevaited L4C (or 4LC), is a method that solves the last layer corners preserving all the rest, a sub group of ZBLL and ZZLL. L4C is and is not a method in the CxLL group, not because it has twice the number of cases as all the other methods of the group (42/84).

Usage:

• For a 2-look last layer this is preceeded with LLEF (ELL-CLL).
• FMC, aspecially linear FMC to solve the last layer corners but also normal FMC where a block + edge skeleton leaves 4 corners in diffrent layers, that are setup to one side and solved using L4C (not so effective but as a last resort).
• BLD, the sub group L3C is used by many freestylers and is also a part of the Beyer-Hardwick Method. E and X cases are double 2-cyles, that can solve 4 corners in one go if the case is represented in the scramble or if it is easy to setup.

## 2-look L4C

It is possible to solve most L4C in two looks using 3-cycle commutators (see L3C). The method is to use the first 3-cycle to solve one piece and at the same time move any placed but twisted corner out from position (to avoid the pure twists that uses long algs) and then follow it up with a second 3-cycle. This will solve all cases but the pure twists with 4 corners wrong, that you can solve in two looks using only the U-twist and puzzle orientations, the other pure cases, T and U use the U-twist, L and S; cycle the twisted corners using any 3-cycle and then the appropiate cycle to move them back.

Another way is to use COs that preserves edges but not corner permutation (see OCLL-EPP) and then end the solve using CPLL. This will use lesser algs but more turns than the first approach.

## L4C with a beginner method

Another approach is a beginner's method of last layer, permutation first:
U R U' L' U R' U' L - permute corners except front-right-up corner
R' D' R D - repeat - rotates corners. Must rotate only up face to switch which corner is rotated.