CxLL
Corners Last Layer is a group of methods collectively known as C*LL or CxLL that solve the last layer corners in one algorithm. Each method has certain restrictions that apply, and each can affect other pieces in different ways. For example, CMLL allows movement of the M layer and allows destruction of the UL and UR edges. Two other common sets of algorithms include CLL and COLL. These differ from the fact that the latter preserves last layer's edges orientation while the former does not necessarily. In some cases, CLL will give shorter algorithms due to lack of restrictions.
C*LL is useful for the 2x2x2, which has no edges, and also for corners first, which solves edges after the corners. C*LL is also used in Roux's method, and is specifically known as CMLL. It is of course also useful after a normal F2L is completed, COLL often together with the Petrus method or in the Fridrich variation, with a preceeding VH or ZB F2L. CLL for 3x3 solves the LL corners before anything is done to the edges, that then are solved using ELL (the Guus method), probably the most effective way (that is used) to solve a completly scrambled LL in two steps.
Contents
Subsets
- CLL: The traditional CxLL subset, CLL solves the LL corners while preserving the First Two Layers
- COLL: The most common CxLL algorithm set, COLL solves the LL corners while preserving both the First Two Layers and Edge Orientation
- CMLL: CMLL solves the LL corners while preserving the First Two Blocks made in Roux
- CLL (2x2): CLL for 2x2 solves the LL corners while preserving the other corners
- CMSLL: CMSLL solves the LL corners while preserving only four Corner-Edge Pairs in F2L slots
- CLLEF: CLLEF solves the LL corners while preserving the First Two Layers and flipping all Last Layer edges. It should be noted that CLLEF consists of 43 algorithms because an extra one is required for the corners solved and all edges flipped case.
- CFRLL: The corners are solved while ignoring the FR and last layer edges. This is commonly used in the Zipper Method.
- CBRLL: The corners are solved while ignoring the BR and last layer edges. This is commonly used in the Zipper Method.
- CDFLL: CDFLL (also known as HKCLL) solves the LL corners while preserving a DougLi Block. A full list of algorithms has been genned by Cubingcubecuber. [1]
- WCLL: WCLL is used in the Waterman method and solves the corners on the right without disturbing the layer on the left.
- CDRLL: CDRLL solves the last layer corners without disturbing a DougLi Block or edge orientation. CDRLL is used in a variation of the Mehta method.
- CERLL: CERLL is used in the PBCS Method. It preserves edge orientation and preserves f2l other than the ER edges (FR and BR edges).
The lists
Browse
At bottom of each page there is a navigator that you use to browse from page to page by clicking the names under the thumbnail images.
Case Descriptions
There are 2 tables for case descriptions. The first is the positional recognition system and the second is the hyperorientation recognition system.
Positional System:
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All colour patterns showed in the decriptions assumes white on top and green in front (official colour sheme). The description images divided into four quadrants makes one corner each as showed in the image to the left. The stickers showed in the images at the pages are whites for the four belonging to the U face and four more, the important recognition stickers, the rest of the stickers of the corners you can ignore in recognition, that's why those are not displayed in the images. |
Hyperorientation System:
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All color patterns show the orientation case in white. The blue and green stickers show the position of opposite color stickers (red/orange, blue/green, white/yellow on the standard scheme). Hyperorientation patterns allow quick recognition of C*LL and NMC*LL cases equally. |
In case descriptions there are sometimes links to the "inverse case", that is the case you get if you do N-PLL on the case you got (or faster R2 F2 R2).
The Algorithms
In each page there is a list of algorithms for different CxLL based methods: topmost is COLL, followed by CLL, CMLL etc. An algorithm suitable for COLL preserves the edge orientation. If not, it is a CLL algorithm. If the algorithm changes the M slice then it is a CMLL. If it changes F2L edges it is a Corners First/2x2x2 algorithm and if it changes FL corner permutation it is a EG 0/1 alg (all levels are also useful for Ortega). CLLEF acts in the same way as COLL, except that it flips 4 edges (to be used with OLLs 1, 2, 3, 4, 17, 18 & 19).
Beginners
For a beginner who likes a stepping stone it is possible to do CxLL in two steps; first orientation and then permutation. In the navigator these algs are the grey cases having single letter names, orientations are in the leftmost row and permutations in the topmost line.
See also
- CO
- CLL, CLL algorithms (3x3x3)
- COLL
- COLL Algorithm Database
- CMLL
- CLLEF
- OLLCP
- CxLL algorithms
- Last Three Corners
- Last Four Corners
- CLL Recognition Methods
- ATCRM
- NMCLL
External links
- Thread discussing this CxLL page
- Thread discussing 2x2x2 algorithms
- Hyperorientation Recognition: A method for recognizing C*LL and R2 NMC*LL cases easily. (not intended for R or R' NMC*LL)
- Speedsolving.com: CxLL Recognition
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