Petrus + CF method

[Kenneth]

This must be something for Johannes because this is based on Pertus and Ortega and I know he uses both (Ortega for 2x2x2).

First build a 3x2x2 block:

This is the Petrus part, view his page if you don't know how to this.

Solve last six corners:

first put down the two corners that goes on the same side as the two in the block (order does not matter). Because you, from a edge point of view, got two sides free at this point you can use Ortega style algs to orient the last four corners and then permute all six.

You can for example use R2 U2 R U2 R2 to OLL the double Sune case, and 2x(R2 U R2 U') R2 for permutation of all six corners.

Last seven edges:

For this stage I have not got any algs or something but I think the best way to solve these edges is to put down the last "cross edge", use an alg for the two "F2L edges" (or the opposite order if the cross piece is in F2L position) and then end the solve using ELL.

I solved under a minute in my first ever try, used 3-cycles for the last part.

 

[Lucas Garron]

R U' M' U r' and its kin should really help.

And R U' M' U2 M U' R', and M' U R U' M U R' U' (even if you change that M to M2 in the latter comm...)

Would it be easy and fast to do the last step in 3 algs intuitively? (2+2+3)
Maybe even better with the first alg+setups, cancellations and variations?

 

[Kenneth]

The main problem is that it is not easy to create a 2-step for the last part, there are too many cases:

first edge: 7 * 2 = 14 positions (pemutations * orientations)
Second edge: 6 * 2 = 12

To solve two of seven is therefore 12 * 14 = 168 cases in the group and after that you still got five edges to go = 10*8*6*2 = 960!!

No, then it's better to use my proposal or as Lucas says, intuitive 3-cycles. In the first case one have to create algs and learn those, in the second you can go with what you already got (if you, as me know all 3-cycles possible for LL-edges + a number of more. For someone like Lucas who uses 3-cycles for BLD it's even easier to do that =)

I think I shall practise the 3-cycle style a bit, after a while recognition must be fairly good and then I think this is useful.

 

[Kenneth]

After some more testing I found it's easy to solve two of the seven eges using intuition.

To place FR/FL go like F/F' M' U/U'/U2 M U/U'/U2 F'/F

Then it's even easier to place FD: M' U/U'/U2 M

After that I solve the last of the two FR/FL using M' U/U' R/L' U/U' M U/U' R'/L

End in ELL.

I realised it is possible to solve all six corners (after you put down the first two) in one alg, it's "only" ca 80 cases. If you do that, then the 3x2x2 + corners is possible to do in about 25 turns on average

 

[Kenneth]

Found this "pair swap" for permutation of one pair of corners in each layer that does not destroy the 3x2x2:

F U F' - R U2 R' - F R U' R' F'

For the rest of the pemutations use the alg in my first post and J + N PLL for those that are wrong in only one layer.

To not destoy the 3x2x2 if there are only two corners to permute in the same layer as the block, then simply move them to LL using R2 before the J-PLL.

 

[Kenneth]

Here the algs you need to orient the LL corners:

S : R U R' U R U2 R' : 4/27 = 28
-S : R U2 R' U' R U' R' : 4/27 = 28
U : F R U R' U' F' : 4/27 = 24
L : R U' R' U' F' U F : 4/27 = 28
T : R U R' U F' U' F : 4/27 = 28
H : R2 U2 R U2 R2 : 2/27 = 10
Pi : R U Ra' U' Ra U R' 4/27 = 28 (36 if Ra = 2 turns)
Skip : ! : 1/27 = 0

Total turns = 174 / 27 = 6.45 (182/27 = 6.74)

All algs are the same as the Ortega algs at Jelineks site exept the last one that is the one I use for Ortega, all are optimal if Ra = 1 turn (I think it is).

Note that the pi alg swaps the FL corners at the F side = permutation will change.

 

[Kenneth]

For the rest of the pemutations use the alg in my first post and J + N PLL for those that are wrong in only one layer.

To not destoy the 3x2x2 if there are only two corners to permute in the same layer as the block, then simply move them to LL using R2 before the J-PLL.

I found I can use one of my shortest ZB's for the last case:

(x) R U' R' U2 Ra U' R' U L' U2 (x')

This alg I also used when I was trying to develop the Poshmann T-method for BLD a little (abandoned that because too many turns, now I'm trying to learn cycles). You can shoot M-layer pieces directly using this, mirror and only [d] for setup and restore, wery nice.