NMCMLL (New Recognition)

I'd learn it if I was going to do blocks other than R2, but I'm still getting used to using those for regular solves.

It'll be a while before it's worth me learning the 83 cases. Since you explained some stuff to me though, I've done a lot more nmblox.
 
I think we should propose a 2-look strategy for people to give a try at solving corners when side blocks don't match and realize it's not very complicated.

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*) First step: "Orientation", considering L/R colors (yellow/white) instead of U color.

The table on http://grrroux.free.fr/method/Step_3.html gives the orientation pattern.

A- R'U'RU'R'UR'UR'U2R
B- LU'R'UL'U'R
C- L'URU'LUR'
D- R'U'RU'R'U2R
E- UF(RUR'U')2F'
F- UFRUR'U'F'
G- U2FRUR'U'F'

B and C are symmetrical, E, F and G are similar, A and D are the Sune brothers... very easy to learn.
Now you get a kind of H orientation, with only white/yellow on L/R sides (after U adjustement).

*) Second step: Final permutation

See sequences B1-1, B1-2, B2-1, B2-2, B2-3, B3-1, B3-2 on http://grrroux.free.fr/method/Step_3j.html

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Starting from this basic 2 look and 14 sequence strategy, you can progressively learn optimal sequences for every configuration.
You should realize that fast case recognition is possible, based on the position of colors that match (U colors) or that don't match (F/B colors).

Stop talking. Just cube it! :-)
 
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That's what I was planning on working on next, a two look for people to start with. Now I don't have to do the work :)
 
Update. The page has been simplified and is now easier to understand. New information added to the first post.
 
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