i also really like the 2x2x3 approach but while doing that i try to make as many corner edge pairs as possible, then EO mostly while trying to leave 3 - 5 cornersUsing NISS, premoves and insertions
Typically block build my way op to F2L-1
Then manipulate LL via the remaining slot to leave 3 to 5 corners
Methods that are very usefull to know for FMC: Petrus and Heise.
Both start out with Blockbuilding, then orient edges.
Petrus: EO after 2x2x3 block
Heise: EO after (or during) F2L- 1 slot
Both ways of EO are good to explore during a solve
For the end game Heise provides you with some good tactics for leaving 3 or 5 (easier to get to) corners.
In a normal Heise solve you then solve these corners via corner 3-cycles (commutators)
For FMC you insert these 3-cycles into earlier parts of the solution.
This way you can typically use 8 move optimal commutators (instead of up to 12 move optimal when you solve them at the end of the solution)
The real neat trick is to insert these cycles in such a way / location that they cancel moves.
For a 3 cycle insertion you can expect to cancel 2 moves: then you have solved the corners with 6 HTM
For two 3 cycle insertions you can expect to cancel about 6 moves: then you have solved the corners with 10 HTM
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