Compound OLL Examples
Solving OLL with two algs in one look
Lucas Garron; March 1820, 2006
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This page contains examples demonstrating my compound OLL system.
 Examples
Example 1: My first speed BLD
Example 2: My fast speed BLD
Example 3: A familiar OLL
Example 4: Another example
The algs themselves should suggest how to be combined; nevertheless, here are a few examples that should make the idea clear.
Unfortunately, I can't cover every "just in case this happens;" try to extrapolate for yourself.
Example 1  
I encountered exactly this LL during my first speed BLD.  Do R' F' L' F R' F' R U' L U R' F R2 U2 on a solved cube to see.  
 
If you first turn the cube with y or U, you will notice that this OLL is perfectly positioned for an EC followed by an antiSune.  EC: (U) r U R' U' r' R U R U' R'  AntiSune: (U) R U2 R' U' R U' R' 

 
Combining the two algs will yield this.  Synthesis: (U) r U R' U' r' R U R U' R' R U2 R' U' R U' R'  Movecancelling version: (U) r U R' U' M U R U R' U' R U' R' 

 
For speed BLD, of course you must figure out the final position in your head. But don't trace!
The cube starts as RFBL for edges and FRFLBRBL for corners (positions of cubies in order of homeposition, clockwise from UF[L], ignoring orientation because we know that will be fixed.) The EC will cycle three edges, all but the F: RFBL > BFRL. The antiSune will do a counterclockwise threeedge cycle, BFRL > LFRB, and switch corners across LL: FRFLBRBL > BLBRFLFR. So, going into PLL you have LFRB and BLBRFLFR (orderings, not cycles). Do note the the cube is rotated at the end. 
Example 2  
This is the LL from my fastest speed BLD. I used a miniZB alg to do EOLL with placement of the last edge, so there's only CO. Sometimes, I will encounter an EOonly case instead. I'm only including this example to alert you to be prepared for exceptions.  Do F' U' F U' F' U2 F2 U F' U F U2 F' on a solved cube to see.  
In this case, there's only a chameleon...  OCLL ("Chameleon"): B L B' R B L' B' R'  OLL: B L B' R B L' B' R' 
Speed BLD: The chameleon doesn't affect edges, so edge ordering (LFRB) transfers directly to PLL. The corners were initially correctly placed, but were permuted with OLL: FLBLBRFR > FLFRBLBR. 
Example 3  
You should hopefully recognize this OLL. However, for this example I'll execute it using compound OLL.  Do F R U R' U' F' on a solved cube to see.  
If you first turn the cube with y, you will notice that this OLL is perfectly positioned for an EC followed by an antiSune.  EC: r U R' U' r' R U R U' R'  Headlights: (U) R2' D R' U2 R D' R' U2 R' 
Combining them yields this lengthy OLL. Now, it may be longer, but for speed BLD, you might find it easier to use that to trace F U R U' R' F'.  OLL: r U R' U' r' R U R U' R' y R2' D R' U2 R D' R' U2 R'  
Speed BLD: I won't go over the explicit cycles, but notice that EOLL and OCLL were separate (due to their algs), so their orderings will be independently affected. 
Example 4  
Here's one with a 4flip that I just picked.  Do F2 L2 B L2 F L' B2 U2 B L F on a solved cube to see.  
This time, it's a straightforward 4flip and Pi.  4flip: U M' U' R' U' R U M2' U' R' U r  Pi: R U2' R2' U' R2 U' R2' U2' R 
Combined, we get this long, relatively nice, alg.  OLL: U M' U' R' U' R U M2' U' R' U r R U2' R2' U' R2 U' R2' U2' R  
Speed BLD: The initial cycles were RFLB and FRFLBRBL. The 4flip sends edges across LL: RFLB > LBRF The pi sends corners across LL: FRFLBRBL > BLBRFLFR And it does a 3edge cycle: LBRF > FBRL 