I understood what you're getting at... I simply think this is incredibly difficult for a method which saves no moves at all (compared to regular old CSP -> OBL, that is). Even then, I'm not convinced that's it's even possible to "trace" the permutation through one of 180 cubeshape algs and...
I think you're seriously underestimating how difficult it is to track permutation through Cubeshape. Compared to CS+OBL, learning PBL is a walk in the park. And the way you simply brush off CS-parity recognition as "not too bad" is insane.
I think the "ideal" method would be CS+parity ->...
The first two are pretty much standard, but they use 1,0/5,-1/6,0 in place of one of the M2s. I've actually used this for a while as a quick way to swap E slice on algs that use M2 (H, Z, O/opp, O/O, etc).
I gotta try those H/U algs when I get home, though.
Correct. The first factor is included in the 10.181 number later in the post (among other tricks - the effects of just preserving blocks in CP would be much less pronounced). The lookahead factor for parity cases doesn't mean as much (I lookahead just fine with parity CP) although I'd suspect...
Well, I don't really know many parity EP cases. I simply don't do them because of parity CP. But after learning the ones I mentioned, I would just go set by set: you'll already know all the 1-1 swap and 0-2 swap cases, so learn the rest of the 2-2 swap cases (H/H, Z/Z, H/Z, U/Z, U/H). Then...
Adj/adj, opp/opp, H, Z, Opp/O, opp/adj, U, U/U, W/adj... Then the rest in whatever order you feel like.
Parity CP is good to learn early. Recognition is the hardest part, so the sooner you start the better off you'll be. Plus it works wonders for your EP lookahead.
Roux is a decent method...
0,1/3,0/-3,0/2,2/ OBL (I'll admit I didn't know this case before, but I do now! Thanks Shari/Michael! :D)
1,1/3,-3/-3,3/ Opp/opp CP
2,2/0,-3/1,1/-1,2/-3,1 Adj/Adj EP
Such fast. Such easy cases. I did a different solve at first (didn't know...
3,-1/1,-2/-4,-1/ OBL like a boss. This was sorta semi-intuitive on the fly and it paid off.
0,3/-3,0/3,3/0,-3/ 1,0/3,-3/-3,3/ -1,0/3,0/3,3/3,0/0,3 While I'm doing stuff semi-intuitive on the fly..... J/J -> Uperm would've probably been faster...
I didn't read your spoilery hax but luckily I do that cubeshape case stupidly. I didn't predict the skip in any way but I got an 8.56 first try.
(z2) 2,-2/0,2/1,2/0,3/ CO
I gave it to supercavitation in IRC, but in case anyone else is interested:
# def-file by Andrew Nelson
# pieces are: UFL UFLx UL UBL UBLx UB UBR UBRx UR UFR UFRx DFL DFLx DL DBL DBLx DB DBR DBRx DR DFR DFRx
# x pieces are bandaged
Set EDGES 24 1
1 2 3 4 5 6...