A New 3x3 Method?

I was being dead serious. An EOCP step in Petrus that does not take much longer than the current EO step could make Petrus a viable method.

do you have any idea how many cases there would be? let's calculate.

let's say you made like a Porkynator and placed the two DF corners in DF. there are 6 cases for cp, at this point. 2 of which are solved cps. however, you can't take advantage of these solved states cuz u have edges to orient.

ok, now for the eo. you can have 2 adjacent edges on the U layer be wrong. this is 4 cases.
you can also have 2 opposite edges be wrong, this is also 4 cases. note aufing will not work because you also have to manage the cp.
you can have 1 wrong edge on U and 1 wrong edge on f. 16 cases.
you can have 2 adj or opp edges on F wrong. 8 cases.
you can have 4 wrong edges on U OR F. 8 cases
you can have 3 wrong on U and 1 wrong on F. 16 cases
you can have 3 wrong on F and 1 wrong on U. 16 cases.
you can have 2 wrong adjacently on each. 16 cases.
you can have 3 wrong oppositely on each. 16 cases.
you can have 2 wrong adj on U and 2 wrong opp on F. 16 cases
you can have 2 wrong adj on F and 2 wrong opp on U. 16 cases
you can have 4 wrong on U and 2 wrong adj on F. 16 cases
you can have 4 wrong on F and 2 wrong adj on U. 16 cases
you can have 3 wrong on U and 3 on F. 16 cases
you can have 8 wrong. 16 cases

this math is probably wrong. but 16*12.5*6= 1200 cases. and that's after having simplified the situation by placing the DF corners.

EDIT: ya the math is definitely wrong, but it's still in the correct order of magnitude. there are two many cases.
 
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do you have any idea how many cases there would be? let's calculate.

let's say you made like a Porkynator and placed the two DF corners in DF. there are 6 cases for cp, at this point. 2 of which are solved cps. however, you can't take advantage of these solved states cuz u have edges to orient.

ok, now for the eo. you can have 2 adjacent edges on the U layer be wrong. this is 4 cases.
you can also have 2 opposite edges be wrong, this is also 4 cases. note aufing will not work because you also have to manage the cp.
you can have 1 wrong edge on U and 1 wrong edge on f. 16 cases.
you can have 2 adj or opp edges on F wrong. 8 cases.
you can have 4 wrong edges on U OR F. 8 cases
you can have 3 wrong on U and 1 wrong on F. 16 cases
you can have 3 wrong on F and 1 wrong on U. 16 cases.
you can have 2 wrong adjacently on each. 16 cases.
you can have 3 wrong oppositely on each. 16 cases.
you can have 2 wrong adj on U and 2 wrong opp on F. 16 cases
you can have 2 wrong adj on F and 2 wrong opp on U. 16 cases
you can have 4 wrong on U and 2 wrong adj on F. 16 cases
you can have 4 wrong on F and 2 wrong adj on U. 16 cases
you can have 3 wrong on U and 3 on F. 16 cases
you can have 8 wrong. 16 cases

this math is probably wrong. but 16*12.5*6= 1200 cases. and that's after having simplified the situation by placing the DF corners.

However, once you've identified the CP case, it can be solved intuitively by setting up to algs like R U R' and R U' R' which swap two corners and flip two edges.
 
@noah

R' F R F', R U R', R U2 R', and R U' R' all swap 2 adjacent corners on the U layer. how would you go about swapping 2 diagonal corners on the U layer?
 
R2 U2 R2 L F U R2 D2 B L2 R' U2 F B' D' L2 F' U2 F U2 D2 B2 U' R B

M' U x' B' U r' F2 r (2x2x2 i know i suck)
U R U R2 U2 R2 y2 (2x2x3)
try eo cp right here
 
1.I never said you'd get better times I just decided to put my idea out there.
2.The world renounced cubers are all comfortable with there main methods so I doubt they would try to incorporate things like CPLS into their solves.
3.Feliks uses COLL
4. That was really stupid for you to say EO and Blockbuilding are complicated when you listed 2 methods that infact use both EO and Blockbuilding(Roux and ZZ)
and 5.Some of the world's top speedcubers use Roux which uses both EO and Blockbuilding.

Next time think before you post such a contradicting comment

@Noahaha Not quite sure if I understand but your welcome?

You didn't understand.
I said, besides addons such as COLL, etc.
And I meant, EO -> blockbuilding, not EO like in ZZ or blockbuilding like in roux or petrus.
btw, EO in roux is something different than in ZZ for instance; you could say CFOP uses EO, because you need to know how to orient edges ;)

Next time think before you post such a contradicting comment
 
R2 U2 R2 L F U R2 D2 B L2 R' U2 F B' D' L2 F' U2 F U2 D2 B2 U' R B

M' U x' B' U r' F2 r (2x2x2 i know i suck)
U R U R2 U2 R2 y2 (2x2x3)
try eo cp right here

CP is done, so:
x' F2 M U M' U2 M U M'


Another example (same scramble):
2x2x2: D L F M' U r' (6)
2x2x3 x' B U B' F U F' (6)
EOCP: y U' M F M' U' F U2 R U' R' (10)
F2L: x y U R U2 R U2 R U' R U' R' U' R (12)
2GLL:
 
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Umm, EO + blockbuilding.. Yeah, but EO + 2x2x3 is like EOLine + Left Block. You only added CP before Right Block from ZZ, so it's just harder version of ZZ.. Good ZZ solver can permute corners while doing right block, after that is also 2GLL. Nothing more to add :)

EDIT: Compare your solution of @5BLD's scramble with this (ZZ)

D' F2 U' B2 U' R2 D' B2 D2 F2 U F' U R D2 F R' B' L B U

z y' B F R2 D' F // EOLine (5/5)
U' R U' R2 U' L' U L' // Left Block (8/13)
U R' U R U' R2 U R2 // Right Block (8/21)

So..?
 
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You didn't understand.
I said, besides addons such as COLL, etc.
And I meant, EO -> blockbuilding, not EO like in ZZ or blockbuilding like in roux or petrus.
btw, EO in roux is something different than in ZZ for instance; you could say CFOP uses EO, because you need to know how to orient edges ;)

Next time think before you post such a contradicting comment

Oh I thought you meant like, besides Coll makes you slower. Sorry about that :) but EO is EO
 
EDIT: Compare your solution of @5BLD's scramble with this (ZZ)

D' F2 U' B2 U' R2 D' B2 D2 F2 U F' U R D2 F R' B' L B U

z y' B F R2 D' F // EOLine (5/5)
U' R U' R2 U' L' U L' // Left Block (8/13)
U R' U R U' R2 U R2 // Right Block (8/21)

So..?
So, very lucky. And are you color neutral with ZZ ?

Good ZZ solver can permute corners while doing right block, after that is also 2GLL. Nothing more to add :)
Hum... I would like to learn ! :)
 
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