Difference between revisions of "Last Three Corners"

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Revision as of 09:55, 18 August 2010

Last Three Corners method
L3C.png
Information about the method
Proposer(s): unknown
Proposed: unknown
Alt Names: L3C
Variants: L4C, CxLL
No. Steps: 1
No. Algs: 22
Avg Moves: ~10 HTM
Purpose(s):


Last three corners, abbrevaited L3C (or 3LC), is a method that solves three of the last layer corners preserving all the rest, a sub group of L4C, ZBLL and ZZLL.

Usage: besides L4C it is useful for FMC and the 3-cycles are nice for Freestyle BLD.

See also:

L3C Cases

The group have 27 cases including solved, 3*3 orientations and 3 permutations. Most of the cases (18) are pure 3-cycles, the rest are pure twists U, T, L, S and -S. Some of the twist occures 2 times (U, T and L) and the T-twist is the same as the U-twist if the puzzle is reoriented. Subtracting the duplicates and solved it will be 22 cases left.

The naming system used here is adapted to BLD, the ULB corner is always the solved one and URF is the 'buffer' with U as the buffer sticker. The piece in the buffer will go to two places, either URB or UFL and the sticker in U will go to any of the three stickers on each goal position and that sticker is in uppercase, the other two letters will be in lower case. The second half of the name is the same but from the goal position of the first. The last piece will always go to the first buffer position so that will not be in the name.

Example: CW A-PLL will be Ufl-Urb and CCW A-PLL will be Urb-Ufl.

Algorithms

The pure twists you can find at the Corner orientation page and two of the 3-cycles are only permutation, look at A-PLL a and b at the PLL page for those.

Note that all of these algorithms are written in the Western notation, where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.


The following four cases are mirror + inverses of the first so you only need '1 alg' for all.

Mirror to the side and inverse in diagonal.

uFl-Urb

L3C case1(a).jpg

Speedsolving Logo tiny.gif Alg R2 D R' U2 R D' R' U2 R'


uRb-Ufl

L3C case1(b).jpg

Speedsolving Logo tiny.gif Alg (y) L2 D' L U2 L' D L U2 L


Ufl-uRb

L3C case1(c).jpg

Speedsolving Logo tiny.gif Alg (y) L' U2 L' D' L U2 L' D L2


Urb-uFl

L3C case1(d).jpg

Speedsolving Logo tiny.gif Alg R U2 R D R' U2 R D' R2


The following four cases are mirror + inverses of the first so you only need '1 alg' for all.

Mirror to the side and inverse in diagonal.

ufL-uRb

L3C case2(a).jpg

Speedsolving Logo tiny.gif Alg (y x') R2 D2 R U2 R' D2 R U2 l


urB-uFl

L3C case2(b).jpg

Speedsolving Logo tiny.gif Alg (x') L2 D2 L' U2 L D2 L' U2 r'


uFl-urB

L3C case2(c).jpg

Speedsolving Logo tiny.gif Alg r U2 L D2 L' U2 L D2 L2 (x')


uRb-ufL

L3C case2(d).jpg

Speedsolving Logo tiny.gif Alg (y) l' U2 R' D2 R U2 R' D2 R2 (x')


The following four cases are mirror + inverses of the first so you only need '1 alg' for all.

Mirror to the side and inverse in diagonal.

ufL-Urb

L3C case3(a).jpg

Speedsolving Logo tiny.gif Alg (y) r' U' R U L U' R' U (x)


urB-Ufl

L3C case3(b).jpg

Speedsolving Logo tiny.gif Alg (y2) l U L' U' R' U L U' (x)


Ufl-urB

L3C case3(c).jpg

Speedsolving Logo tiny.gif Alg (x') U L' U' R U L U' l'


Urb-ufL

L3C case3(d).jpg

Speedsolving Logo tiny.gif Alg (y x') U' R U L' U' R' U L (x)


This is the classic Niklas.

Mirror of Niklas.

ufL-urB

L3C case4(a).jpg

Speedsolving Logo tiny.gif Alg R' U L U' R U L' U'


urB-ufL

L3C case4(b).jpg

Speedsolving Logo tiny.gif Alg U L U' R' U L' U' R


Anti Niklas.

Mirror of Anti Niklas.

uFl-uRb

L3C case5(a).jpg

Speedsolving Logo tiny.gif Alg B L' U2 L B' L' B U2 B' L


uRb-uFl

L3C case5(b).jpg

Speedsolving Logo tiny.gif Alg L' B U2 B' L B L' U2 L B'