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/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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