Кубик Рубика

* Методы сборки

* Суб-методы

/Разное/Кубик Рубика/LPELL3

### Rubik's Cube: Easy To Learn And Almost OptimalLPEPLL

#### "Right" cases

```
Preliminary notes:
"Correct" edges color order is that
if one is going around up (e.g. yellow)
face counter clockwise. For "standart"
cube it is green-orange-blue-red-green..

Initial position:
Last F2L slot is @ FDR/FR
Last (properly connected) pair is @ FUL/FU
(i.e. we are about to put the pair
into it's slot using R U'R')

Shortcut notions for edges' positions:
x = FR, R = UR, L = UL, B = UB

CASES:

A. x-R colors are adjacent

Determine color order of x->R edges
and color order of B->L edges

Tip: actually there is no need
to look at back face of the cube
to determine color order of B->L edges.
Just look at L - if x and L colors
are adjacent then the order of B->L
edges is the same as the order
of x->R edges, otherwise - not.

Four cases are possible:
(first letter - order of x->R edges,
second letter - order of B->L edges.
Y - correct, N - incorrect)

R1. NY:  R U'R'
Just put the pair into it's slot
3 HTM

R2. NN:  U, R U2' R'
Move the pair to UBL/UL,
then put it into the slot
4 HTM

R3. YY:  R U'R', [u], L'U'L, U', L'U2 L
Put the pair into the slot,
rotate the whole cube by 90°
(quarter turn, π/4, whatever units u like...)
around vertical axis clockwise,
push the pair out of the slot,
move it to UBR/UR position,
put it back into the slot
10 HTM

R4. YN:  U, R U2' R2' U' R, U', R' U2 R
Move the pair to UBL/UL,
put it into the slot
and push DBR/BR pair out
of it's slot,
move the latter into UFL/UL position,
finally put it back into the slot
10 HTM

B. x-R colors are opposite
Determine color order of L->x edges
Two cases are possible:

R5. Correct
U R U'R' -> case R2
8 HTM total
or R U R'U' -> case R1
7 HTM total

R6. Incorrect
R U' R2' U' R, U', R' U2 R
Put the pair into the slot
and push DBR/BR pair out
of it's slot,
move the latter pair into UFL/UL position,
finally put it back into the slot
9 HTM

Min moves: 3
Max moves: 10
Avg moves: ~7.2
(not counting possible trailing AUF)

General tip:
DO NOT grind at the "algorithms" above!
Try to understand them.
One needs to memorize what
(e.g. "push a pair out of a slot...")
has to be done (and in what order)
but not how to do it exactly
(e.g. "L'U'L...").
```

#### "Left" (mirror) cases

```
Preliminary notes:
"Correct" edges color order is that
if one is going around up (e.g. yellow)
face clockwise. For "standart"
cube it is green-red-blue-orange-green..

Initial position:
Last F2L slot is @ FDL/FL
Last (properly connected) pair is @ FUR/FU
(i.e. we are about to put the pair
into it's slot using L'U L)

Shortcut notions for edges' positions:
x = FL, L = UL, R = UR, B = UB

CASES:

A. x-L colors are adjacent

Determine color order of x->L edges
and color order of B->R edges

Tip: actually there is no need
to look at back face of the cube
to determine color order of B->R edges.
Just look at R - if x and R colors
are adjacent then the order of B->R
edges is the same as the order
of x->L edges, otherwise - not.

Four cases are possible:
(first letter - order of x->L edges,
second letter - order of B->R edges.
Y - correct, N - incorrect)

L1. NY:  L'U L (or r' U r)
Just put the pair into it's slot

L2. NN:  U', L' U2 L
Move the pair to UBR/UR,
then put it into the slot

L3. YY:  L'U L, [u'], R U R', U, R U2 R'
Put the pair into the slot,
rotate the whole cube by 90°
(quarter turn, π/4, whatever units u like...)
around vertical axis counter-clockwise,
push the pair out of the slot,
move it to UBL/UL position,
put it back into the slot

L4. YN:  U', L' U2' L2' U L', U, L U2' L'
Move the pair to UBR/UR,
put it into the slot
and push DBL/BL pair out
of it's slot,
move the latter into UFR/UR position,
finally put it back into the slot

B. x-L colors are opposite
Determine color order of R->x edges

L5. Correct
U' L' U  L -> case L2
8 HTM total
or L'U' L U -> case L1
7 HTM total

L6. Incorrect
L' U L2 U L', U, L U2' L'
Put the pair into the slot
and push DBL/BL pair out
of it's slot,
move the latter pair into UFR/UR position,
finally put it back into the slot
9 HTM

```

Дата последней модификации: 2013-07-16

/Разное/Кубик Рубика/LPELL3

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