I think this is a pretty good example for beginners to get an idea of how blockbuilding is done FMC style
I'm using the scramble from this week's forum competition, this was my solution:
Inverse scramble: R2 L F2 U' R F U2 L D R' U2 L2 U' B2 D L2 D L2 D2 L2 U2
2x2x3: L' F2 R2 L' D R2 D R' D (9/9)
Orient remaining edges: U R' U2 R (4/13)
Triple x-cross: U' B' U' B2 U2 (5/18)
Last slot:
U B' U' B U B' U' (6/24)
Niklas: R B' L' B R' B' L (7/31)
I'm guessing that at first glance, most beginners wouldn't be able to see how the 2x2x3 was built in 9 moves without any cancellations or any visible 2x2x2 or 1x2x3 to start with. But it's NOT magically done that way.
When I started out in FMC, I saw lots of solutions from the pros where in the beginning, there were just a bunch of random moves that didn't really make any sense, and then towards the end, the blocks just magically clicked into place. I always wondered how they foresaw/predicted everything so perfectly and accurately.
I'm nowhere near being a "pro" yet, but I think I'm pretty good at getting 2x2x3 blocks in 10 moves or fewer most of the time, so I'll just share how I make my blocks click into place magically
Here's the "development history" of my 2x2x3 block: (Please scramble with white on top and green on front to follow what I'm gonna be talking about.)
Apply the inverse scramble I provided above. Notice the yellow-orange-green 1x1x2 block in the back right corner in the bottom (that's the only ready-made block in the entire cube, so it's your best bet.) Now ask yourself, what completes the 1x2x2 block? That's right, you need the yellow-green edge. Find that edge, and you'll realize that R2 D R2 completes the 1x2x2 block, so do it.
(Moves done so far: R2 D R2)
Now look at the block you just built, and you'll realize that by pure luck, the yellow-red edge is already in place. So to complete the 1x2x3 block, you're gonna need the yellow-green-red corner. Obviously it's gonna take way too many moves to insert a corner into a 1x2x3 block, so let's take a look at what's in the way: The BLUE-yellow-red corner is in the position in which the YELLOW-green-red is supposed to be.
Now undo all your moves so far (do R2 D' R2,) and look for the YELLOW-green-red corner. You realize that doing L' F2 replaces the BLUE-yellow-red corner with the YELLOW-green-red corner,
without affecting the other 4 pieces that made up the pseudo-1x2x3 block just now. So now, doing L' F2 R2 D R2 gives you a 1x2x3 block, are you getting an idea of how this works now?
(Moves done so far: L' F2 R2 D R2)
Now you don't see any good continuation to form a 2x2x3 block, so start undoing moves to see what you can "tweak," you'll see what I mean in a bit. Undo your last move (do R2,) now you realize you can't do ANY move without affecting the 5 pieces that make up the 1x2x3 block. So undo another move (do D',) now realize that all 5 pieces are in the M and R slices, which leaves you free to do anything you want with the L slice. Ask yourself, which L move (L/L'/L2) makes the most sense? Of course, L', because that solves the orange-green edge, so do L'. Now redo the moves that you undid just now (do D R2.)
(Moves done so far: L' F2 R2 L' D R2)
The remaining D R' D should be pretty self-explanatory.
That's it. That's how the block is done. Here's a summary of the stages we went through:
Stage 1: R2 D R2 (1x2x2 block)
Stage 2:
L' F2 R2 D R2 (1x2x3 block)
Stage 3: L' F2 R2
L' D R2 (solve an edge)
Stage 4: L' F2 R2 L' D R2
D R' D (complete the 2x2x3 block)
Got a better feel of how it's done now?

Feel free to ask me any questions. I'd also like to have some criticism from the pros: Is this how you guys generally go about building blocks? Or am I doing something inefficiently? Any advice?
