Complete First 2 Layers
Now you're thinking, "Oh gosh, another noob with a horrible idea...". Well, CF2L actually isn't a main method for the first 2 layers, it's a very versatile way of getting the first 2 layers; it's very unique.
I've tinkered with it for a little while now, and I like it(in certain situations). Ok, let's use this scramble, and I'll walk you through a CF2L-type-of-deal-solve-thinggymerbobber.
Scramble: D2 R2 L B' D L2 F L' D2 L F2 L2 B U' B' U2 R' F L' F' D B' R D2 U
White on top, Green in front
So for the cross, we have the RG edge already placed(front face), easy OG edge to place, then the GW and GY edges. Well, you might think, why should I use this cross? There's 2 incorrectly oriented edges, so I'll just find another.
Good example of when you can use CF2L:
x' L' U2 F' y R U' R' y U' R' L F L'
Made a 2x2x2 block with a cross edge placed, and a cross edge that'll take 2 moves to place.
So if we do a U R U' R', we have a CE pair ready to be placed.
Let's place it with y' U L' U' L
We got lucky and made the YOG-YO CE pair there, but you'll notice there's another CE pair that's ready to place. GOW-OW.
L U' L' U L U' L'
Let's place that already made pair(y U R U' R'), M U2 M'(33 moves total), and there's the first 2 layers using CF2L. Here's another example.
Scramble: F2 R' B' R L2 F2 R2 L2 B' U2 D F' R U R' D' R' U2 F' L' F' R' U' L2 D
White on top, Green in front
First thing that I see is a 6 move 2x2x2 block. So, let's go ahead and place it.
U F2 R x' y R U2 R'
The WG edge can be placed in one turn, if we do that, there's a CE pair that can be made in 3 moves(excluding the first turn to place the WG edge).
L2 y' L U L'
I see the WGO-WO CE pair waiting to be placed, so let's do that.
U L' U L2 F' L' F
The RGW-WR pair looks mighty easy, so place that.
R U R' U' R U R'
Last edge(OG)
y' M' U2 M(27 moves)
One more, just so you can understand(if you haven't already)
Scramble: F' L R2 F' L F U2 R' B' L R2 D' R' B' F2 L2 F' D2 L B D2 F' L F2 U
White on top, Green in Front
Very easy 2x2x2 block for the start, so let's take that.
y' D2 L2 R' U2 L'
Now I see the GRY-GR in the front-left, YOG-OG in the up-back, and the YBO-BO in the right-down. Let's take the YOG-OG.
R U2 R' y L' U2 L2
Now, very visible, I see the GRY-RG in the up layer, which looks like the easiest thing to do. So, why not do it?
y' R' U' R
Now I notice there's 2 edges needed to be placed on the D layer, and an edge needed to complete the last F2L slot is in the D layer. (OB, right-down)
U l' U2 l
Kind of a boring finish here, but, hey, not everything's flashy.
y U M' U' M
y' U L' U L U y' R U' R' (30 moves)
I'll surely do some more experimenting with CF2L, I know there's more that can be done to it. And yes, before anyone tells me, this may be kinda similar to Petrus, but this doesn't have the bad edges, and doesn't go by a strict system(not saying Petrus or Fridrich is strict for F2L, this is just a very free method, if you will), and is out there on it's own(to an extent).
Cross+F2L may be better for you, or it might not be. This isn't one of those horrid methods that involve a "KABAZILLIONMILLION ZOMG BUT IT TURNZ FAST THO"-lot of turns type-thing. Or, on the contrary, Petrus might be better for you.
The only reason I decided to share this with everybody is because I believe it has potential, given the certain cube positions(some might have a 2 move cross and no F2L slots ready to be easily paired), and looking ahead is very easy; you can look for CE pairs, or D layer edges.
I hoped this sparked interest in somebody, and PLEASE give me feedback/suggestions/etc. If you have any questions, just ask, and I'll do my best to sort everything out.
Thanks,
Daniel AKA Dan da CF2L creatuh man



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