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LEOR

2019-11-11T08:31:09Z

Papasmurf:

{{Method Infobox
|name=LEOR
|image=Leor.gif
|proposers= Arc, Pyjam
|year=2017
|anames= LEORa
|variants= LEOR-b, EOMR
|steps= 4
|moves= 48 with [[ZBLL]]
|algs= 4-497
|purpose=
* [[Speedsolving]]
* [[One-Handed Solving]]
}}

LEOR (Left, EO, Right) is a method that is a mix between ZZ and Roux that allows for ergonomic steps with the mindset of speed and move count.

==Steps==

1. FB/LB: Build a 1x2x3 block on the left side of the cube.

2. EOStripe: Solve EO for all the other edges while solving the DFDB edges.

3. SB/RB: Build a second 1x2x3 block on the right side of the cube.

4. [[ZBLL]]: Finish the last layer in 1 step.

==Pros==

* Ergonomic movesets after FB.

* Low move count - similar to that of [[Roux]].

* No rotations required.

==Cons==

* Steep learning curve - planning both FB and EO is very difficult.

* Difficult to smoothly solve EO and the DFDB edges at the same time.

==Advanced Techniques==

* '''Corner control''': it is easy to control the [[OCLL]] of the last layer which can be used to force easier ZBLL subsets.

==Big Cubes==

1. L and R centers

2. 1x3x4 block on L (like in [[Meyer]])

3. Last 4 Centers

4. Place the block on D, with the unsolved 1x1x4 in DF, then pair up any edge and place it in DF

5. Pair up the last 8 edges (the fastest way is probably with 3-2-3 edge pairing)

6. EOStripe + parity

7. Right block

8. COLL

9. EPLL + parity

nb. If you're solving odd layered cubes, use ZBLL instead of COLL then EPLL + parity.

==Variants==

LEOR-b:

1. Solve a 2x2x2 in DBL

2. Solve the FL pair

3. EODF (EOStripe but only with the DF edge)

4. Right block

5. ZBLL

EOMR:

1. EOFB

2. Stripe while preserving EO

3. Right block

4. ZBLL

== External links ==

[https://docs.google.com/spreadsheets/d/1o8J6MyjLb7sk9mWEQIA-ElMH5IlAeiq_DEnxPVbtujo/edit?usp=sharing EO algsheet]

LEOR

2019-11-03T14:50:31Z

Papasmurf:

{{Method Infobox
|name=LEOR
|image=Leor.gif
|proposers= Atunez
|year=2017
|anames= LEORa
|variants= LEOR-b, EOMR
|steps= 4
|moves= 48 with [[ZBLL]]
|algs= 4-497
|purpose=
* [[Speedsolving]]
* [[One-Handed Solving]]
}}

LEOR (Left, EO, Right) is a method that is a mix between ZZ and Roux that allows for ergonomic steps with the mindset of speed and move count.

==Steps==

1. FB/LB: Build a 1x2x3 block on the left side of the cube.

2. EOStripe: Solve EO for all the other edges while solving the DFDB edges.

3. SB/RB: Build a second 1x2x3 block on the right side of the cube.

4. [[ZBLL]]: Finish the last layer in 1 step.

==Pros==

* Ergonomic movesets after FB.

* Low move count - similar to that of [[Roux]].

* No rotations required.

==Cons==

* Steep learning curve - planning both FB and EO is very difficult.

* Difficult to smoothly solve EO and the DFDB edges at the same time.

==Advanced Techniques==

* '''Corner control''': it is easy to control the [[OCLL]] of the last layer which can be used to force easier ZBLL subsets.

== External links ==

[https://docs.google.com/spreadsheets/d/1o8J6MyjLb7sk9mWEQIA-ElMH5IlAeiq_DEnxPVbtujo/edit?usp=sharing EO algsheet]

4Z4 method

2018-10-20T12:40:56Z

Papasmurf:

{{Method Infobox
|name=4Z4
|image=Z4.gif
|proposers= [[Joseph Tudor]]
|year= Early 2018
|anames=
|variants=
|steps= 10
|moves= 135?
|algs= 52 (1 OLL parity, 42 COLL, 9 EPLL+parity)
|purpose=
* [[Speedsolving]]
* [[Big Cubes]]
}}
The '''4Z4''' method is a 4x4 speedsolving method for [[ZZ method]] solvers. It starts off with a redux stage very similar to the [[Yau method]]'s, but it ends with a ZZ finish, giving the preferable method for ZZ solvers while retaining the advantages that Yau has. It is a definite improvement over other ZZ based 4x4 methods such as [[Z4]] and [[NS4]] due to a lower movecount and better ergonomics. It is also quite similar to the [[Mehtad]] method, although the way eo is done is more simple and has better recognition and the way to make the line is more simple.

Currently, there are no notable solvers with 4Z4 as it is quite a new method, as well as there being very few ZZ solvers who are fast at 4x4.

== Steps ==

# Solve 2 opposite centres. These will be your L and R colours that you use for ZZ on 3x3.
# Solve 3 pseudo cross edges on L. (These have to meet a specific requirement and will be explained later.)
# Solve last 4 centres
# Solve final pseudo cross edge
# Pair last 8 edges using 3-2-3 edge pairing or your preferred edge pairing technique
# Solve line. You do this by positioning the line edge that isn't in the pseudo cross in DR, and using an L move to place the other one at DL. You then do a D/D' to solve the line, then undo the Lm ove to position the pseudo cross in DL.
# Solve edge orientation and do OLL parity
# ZZ F2L
# [[COLL]]
# EPLL+Parity

== The Pseudo Cross ==

The pseudo cross needs to have these specific edges:
*1 line edge
*The left cross edge (and should match with your left centre)
*2 edges that don't meet the other requirements (any E slice edge, any U layer edge and the opposite cross edge)

It is generally considered better if you solve the line edge and the cross edge in the same relationship to each other every time (for example, opposite). Also, you don't technically have to solve the cross edge, but it limits the amount of L2 moves you have to do later on.

== Edge Orientation ==

The way you do edge orientation is identical to the way in Petrus, just you need to stretch the definition of a bad edge to any edge. You hold the cube so that the line and pseudo cross are in BD (which means tha your L/R colours are on F/B).

There are 2 types of edges:
*E slice
*U/D layer

If an E slice edge is in E, and the colour on F is opposite or the same as the centre colour, it is good. If it is not, it is bad.
The inverse is true if the edge is on U/D. If the colour on U/D is opposite or the same to the colour of the centre on F, it is bad. If not, it is good.

For a U/D edge, if the U/D colour is the same/opposite as the U/D centre and is on U/D it's good. If the U/D colour isn't matching to the F centre, it is good, but if it is, it's bad.

You use R/L to flip edges, U/F to replace them, then undo the flip.

The parity algorithm flips one edge and doesn't preserve F2L. You hold the edge in UF and with the line in the normal position, so you essentially orientate as many edges in petrus style as possible, then rotate to put your line in the normal position, do parity, then continue. This is the algorithm: Rw U2 Rw2 U' Rw' U2 Rw U2 Rw' U Rw2 U2 Rw2 U R2 U' Rw'

NB. If you are good at [[LEOR]], the line and EO step can be merged into one.
== Last Layer ==

For the last layer, you can use the same [[COLL]] algs as on 3x3, as you don't need to worry about orientation parity due to it being solved already.

After COLL, you have EPLL+parity. There are the 4 normal [[EPLL]] cases (H-perm, Ua-perm, Ub-perm, Z-perm), plus the additional opposite swap, adjacent swap, Oa, Ob and W permutations.

Opposite swap
[[Image:Opppllparity.png|110px|]]
{{Alg5|wca=r2 U2 r2 Uw2 r2 u2
|sign=2R2 U2 2R2 u2 2R2 2U2
|length=(12,6)|name=|wide=N|author=Chris Hardwick
|url=http://www.stefan-pochmann.info/spocc/other_stuff/4x4_5x5_algs/?section=FixPermutationParity
}}
{{Alg5|wca=(Rw2 F2 U2) r2 (U2 F2 Rw2)
|sign=(r2 F2 U2) 2R2 (U2 F2 r2)
|length=(14,7)|name=|wide=N|author=Stefan Pochmann
|url=http://www.stefan-pochmann.info/spocc/other_stuff/4x4_5x5_algs/?section=FixPermutationParity
}}

Adjacent swap
[[Image:Oadjpllparity.png|110px|]]
{{Alg5|wca=(R U R' U') r2 U2 r2 Uw2 r2 Uw2 (U' R U' R')
|sign=(R U R' U') 2R2 U2 2R2 u2 2R2 u2 (U' R U' R')
|length=(20,14)|name=|wide=N|author=Chris Hardwick
|url=http://www.stefan-pochmann.info/spocc/other_stuff/4x4_5x5_algs/?section=FixPermutationParity
}}
{{Alg5|wca=(R U R' U') (Rw2 F2 U2) r2 (U2 F2 Rw2) (U R U' R')
|sign=(R U R' U') (r2 F2 U2) 2R2 (U2 F2 r2) (U R U' R')
|length=(22,15)|name=|wide=N|author=Stefan Pochmann
|url=
}}

Oa Permutation
[[Image:Circ4cyccw.png|110px|]]
{{Alg5|wca=M2 U M2 U M' U2 l2 U2 r2 Uw2 r2 u2 M'
|sign=M2 U M2 U M' U2 2L2 U2 2R2 u2 2R2 2U2 M'
|length=(22,13)|name=|wide=N|author=
|url=http://hem.bredband.net/_zlv_/rubiks/4x4/444pllpar.html
}}

Ob Permutation
[[Image:Circ4cy.png|110px|]]
{{Alg5|wca=M2 U' M2 U' M' U2 l2 U2 r2 Uw2 r2 u2 M'
|sign=M2 U' M2 U' M' U2 2L2 U2 2R2 u2 2R2 2U2 M'
|length=(22,13)|name=|wide=N|author=
|url=http://hem.bredband.net/_zlv_/rubiks/4x4/444pllpar.html
}}

W permutation
[[Image:Zigzag4cycdedges.png|110px|]]
{{Alg5|wca=(U') R' U R' U' R' U' R' U R U' Uw2 r2 Uw2 r2 U2 Rw2
|sign=(U') R' U R' U' R' U' R' U R U' u2 2R2 u2 2R2 U2 r2
|length=(21,16)|name=SP04
|wide=N|author=Stefan Pochmann
|url=http://hem.bredband.net/_zlv_/rubiks/4x4/444pllpar.html
}}

Do the correct algorithm out of the 9, and you're done!
== Example solve ==
Scramble: R Uw B' Uw' Rw' B2 Uw2 B' Uw' L2 D' Fw' B F2 Uw' B2 F' U2 F D' Uw2 R' Rw L2 Fw B' Rw' U' L2 Rw' B' U D Uw R' F' Rw2 F2 B' Uw'

z//inspection

D U Rw' F' U2 Rw2 U Rw Uw2 U' y Rw U2 Rw'//F2C, L&R colours

z F R U Rw U Rw' L' F//Pseudo cross

L2 3Rw' U' 3Rw2 U Rw U' Rw2 3Rw U 3Rw2 U Rw U' Rw' 3Rw2 Rw2 U2 Rw2 U' 3Rw' Rw U Rw' Lw' L U2 Rw// L4C

z' y' Uw2 R' U' R Uw2 F2//Solve pseudo cross

Uw' F' U F L' U2 L y2 Uw2 U F U' F' Uw' y R U R' Uw' R U2 R' Uw//Pair edges

z R2 L2 D L2//Solve line

y L F L' y' R2 U Rw U2 Rw2 U' Rw' U2 Rw U2 Rw' U Rw2 U2 Rw2 U R2 U' Rw'//Edge orientation

R' U R U L U L' R' U' R' U2 R' U R' U2 R U2 R' U R L' U' L//ZZ F2L

U R' U L U' R U L'//COLL

Rw2 F2 U2 Rw2 R2 U2 F2 Rw2 U2 //EPLL+Parity
[https://alg.cubing.net/?puzzle=4x4x4&setup=R_Uw_B-_Uw-_Rw-_B2_Uw2_B-_Uw-_L2_D-_Fw-_B_F2_Uw-_B2_F-_U2_F_D-_Uw2_R-_Rw_L2_Fw_B-_Rw-_U-_L2_Rw-_B-_U_D_Uw_R-_F-_Rw2_F2_B-_Uw-&alg=z%2F%2Finspection%0AD_U_Rw-_F-_U2_Rw2_U_Rw_Uw2_U-_y_Rw_U2_Rw-%2F%2FF2C,_L%26R_colours%0Az_F_R_U_Rw_U_Rw-_L-_F%2F%2FPseudo_cross%0AL2_3Rw-_U-_3Rw2_U_Rw_U-_Rw2_3Rw_U_3Rw2_U_Rw_U-_Rw-_3Rw2_Rw2_U2_Rw2_U-_3Rw-_Rw_U_Rw-_Lw-_L_U2_Rw%2F%2F_L4C%0Az-_y-_Uw2_R-_U-_R_Uw2_F2%2F%2FSolve_pseudo_cross%0AUw-_F-_U_F_L-_U2_L_y2_Uw2_U_F_U-_F-_Uw-_y_R_U_R-_Uw-_R_U2_R-_Uw%2F%2FPair_edges%0Az_R2_L2_D_L2%2F%2FSolve_line%0Ay_L_F_L-_y-_R2_U_Rw_U2_Rw2_U-_Rw-_U2_Rw_U2_Rw-_U_Rw2_U2_Rw2_U_R2_U-_Rw-%2F%2FEdge_orientation%0AR-_U_R_U_L_U_L-_R-_U-_R-_U2_R-_U_R-_U2_R_U2_R-_U_R_L-_U-_L%2F%2FZZ_F2L%0AU_R-_U_L_U-_R_U_L-%2F%2FCOLL%0ARw2_F2_U2_Rw2_R2_U2_F2_Rw2_U2_%2F%2FEPLL%26%232b%3BParity]

142 moves with double parity.

== Advantages and Disadvantages ==

Advantages:
*Gives a ZZ finish for a similar movecount to Yau, with all of the advantages Yau has.
*Better ways to deal with parity. The number of algs used in a solve with double parity is one less than with standard Yau with double parity, and PLL parity recognition is easier due to corners being solved.
*The EO recognition is suitable for doing mid-solve, unlike with standard ZZ.
*Due to the freedom of having a wider selection of edges for pseudo cross, it is more efficient than yau cross.

Disadvantages:
*Pseudo cross is more abstract than Yau cross, and therefore could be potentially slower as the recognition is harder.
*More steps to do after reduction is done (2: line and EO).
*Fewer pieces are directly solved in pseudo cross and EO compared to Yau and [[Hoya]] and [[Meyer]].

== See also ==
*[[ZZ]]
*[[Z4]]
*[[NS4]]
*[[Petrus]]
*[[Mehtad]]

== External links ==
*Lars Petrus' EO tutorial: https://lar5.com/cube/fas3.html
*ZZ text tutorial (Conrad Rider): http://cube.crider.co.uk/zz.php
*ZZ video tutorial (Phil Yu): https://www.youtube.com/watch?v=Q9f-uHyHeQs&list=PLD9771CF83F13B110
*Original proposal thread: https://www.speedsolving.com/forum/threads/4z4-a-new-4x4-method-for-zz-users.70473/

4Z4 method

2018-10-20T12:40:32Z

Papasmurf: /* External links */

{{Method Infobox
|name=4Z4
|image=Z4.gif
|proposers= [[Joseph Tudor]]
|year=2017
|anames=
|variants=
|steps= 10
|moves= 135?
|algs= 52 (1 OLL parity, 42 COLL, 9 EPLL+parity)
|purpose=
* [[Speedsolving]]
* [[Big Cubes]]
}}
The '''4Z4''' method is a 4x4 speedsolving method for [[ZZ method]] solvers. It starts off with a redux stage very similar to the [[Yau method]]'s, but it ends with a ZZ finish, giving the preferable method for ZZ solvers while retaining the advantages that Yau has. It is a definite improvement over other ZZ based 4x4 methods such as [[Z4]] and [[NS4]] due to a lower movecount and better ergonomics. It is also quite similar to the [[Mehtad]] method, although the way eo is done is more simple and has better recognition and the way to make the line is more simple.

Currently, there are no notable solvers with 4Z4 as it is quite a new method, as well as there being very few ZZ solvers who are fast at 4x4.

== Steps ==

# Solve 2 opposite centres. These will be your L and R colours that you use for ZZ on 3x3.
# Solve 3 pseudo cross edges on L. (These have to meet a specific requirement and will be explained later.)
# Solve last 4 centres
# Solve final pseudo cross edge
# Pair last 8 edges using 3-2-3 edge pairing or your preferred edge pairing technique
# Solve line. You do this by positioning the line edge that isn't in the pseudo cross in DR, and using an L move to place the other one at DL. You then do a D/D' to solve the line, then undo the Lm ove to position the pseudo cross in DL.
# Solve edge orientation and do OLL parity
# ZZ F2L
# [[COLL]]
# EPLL+Parity

== The Pseudo Cross ==

The pseudo cross needs to have these specific edges:
*1 line edge
*The left cross edge (and should match with your left centre)
*2 edges that don't meet the other requirements (any E slice edge, any U layer edge and the opposite cross edge)

It is generally considered better if you solve the line edge and the cross edge in the same relationship to each other every time (for example, opposite). Also, you don't technically have to solve the cross edge, but it limits the amount of L2 moves you have to do later on.

== Edge Orientation ==

The way you do edge orientation is identical to the way in Petrus, just you need to stretch the definition of a bad edge to any edge. You hold the cube so that the line and pseudo cross are in BD (which means tha your L/R colours are on F/B).

There are 2 types of edges:
*E slice
*U/D layer

If an E slice edge is in E, and the colour on F is opposite or the same as the centre colour, it is good. If it is not, it is bad.
The inverse is true if the edge is on U/D. If the colour on U/D is opposite or the same to the colour of the centre on F, it is bad. If not, it is good.

For a U/D edge, if the U/D colour is the same/opposite as the U/D centre and is on U/D it's good. If the U/D colour isn't matching to the F centre, it is good, but if it is, it's bad.

You use R/L to flip edges, U/F to replace them, then undo the flip.

The parity algorithm flips one edge and doesn't preserve F2L. You hold the edge in UF and with the line in the normal position, so you essentially orientate as many edges in petrus style as possible, then rotate to put your line in the normal position, do parity, then continue. This is the algorithm: Rw U2 Rw2 U' Rw' U2 Rw U2 Rw' U Rw2 U2 Rw2 U R2 U' Rw'

NB. If you are good at [[LEOR]], the line and EO step can be merged into one.
== Last Layer ==

For the last layer, you can use the same [[COLL]] algs as on 3x3, as you don't need to worry about orientation parity due to it being solved already.

After COLL, you have EPLL+parity. There are the 4 normal [[EPLL]] cases (H-perm, Ua-perm, Ub-perm, Z-perm), plus the additional opposite swap, adjacent swap, Oa, Ob and W permutations.

Opposite swap
[[Image:Opppllparity.png|110px|]]
{{Alg5|wca=r2 U2 r2 Uw2 r2 u2
|sign=2R2 U2 2R2 u2 2R2 2U2
|length=(12,6)|name=|wide=N|author=Chris Hardwick
|url=http://www.stefan-pochmann.info/spocc/other_stuff/4x4_5x5_algs/?section=FixPermutationParity
}}
{{Alg5|wca=(Rw2 F2 U2) r2 (U2 F2 Rw2)
|sign=(r2 F2 U2) 2R2 (U2 F2 r2)
|length=(14,7)|name=|wide=N|author=Stefan Pochmann
|url=http://www.stefan-pochmann.info/spocc/other_stuff/4x4_5x5_algs/?section=FixPermutationParity
}}

Adjacent swap
[[Image:Oadjpllparity.png|110px|]]
{{Alg5|wca=(R U R' U') r2 U2 r2 Uw2 r2 Uw2 (U' R U' R')
|sign=(R U R' U') 2R2 U2 2R2 u2 2R2 u2 (U' R U' R')
|length=(20,14)|name=|wide=N|author=Chris Hardwick
|url=http://www.stefan-pochmann.info/spocc/other_stuff/4x4_5x5_algs/?section=FixPermutationParity
}}
{{Alg5|wca=(R U R' U') (Rw2 F2 U2) r2 (U2 F2 Rw2) (U R U' R')
|sign=(R U R' U') (r2 F2 U2) 2R2 (U2 F2 r2) (U R U' R')
|length=(22,15)|name=|wide=N|author=Stefan Pochmann
|url=
}}

Oa Permutation
[[Image:Circ4cyccw.png|110px|]]
{{Alg5|wca=M2 U M2 U M' U2 l2 U2 r2 Uw2 r2 u2 M'
|sign=M2 U M2 U M' U2 2L2 U2 2R2 u2 2R2 2U2 M'
|length=(22,13)|name=|wide=N|author=
|url=http://hem.bredband.net/_zlv_/rubiks/4x4/444pllpar.html
}}

Ob Permutation
[[Image:Circ4cy.png|110px|]]
{{Alg5|wca=M2 U' M2 U' M' U2 l2 U2 r2 Uw2 r2 u2 M'
|sign=M2 U' M2 U' M' U2 2L2 U2 2R2 u2 2R2 2U2 M'
|length=(22,13)|name=|wide=N|author=
|url=http://hem.bredband.net/_zlv_/rubiks/4x4/444pllpar.html
}}

W permutation
[[Image:Zigzag4cycdedges.png|110px|]]
{{Alg5|wca=(U') R' U R' U' R' U' R' U R U' Uw2 r2 Uw2 r2 U2 Rw2
|sign=(U') R' U R' U' R' U' R' U R U' u2 2R2 u2 2R2 U2 r2
|length=(21,16)|name=SP04
|wide=N|author=Stefan Pochmann
|url=http://hem.bredband.net/_zlv_/rubiks/4x4/444pllpar.html
}}

Do the correct algorithm out of the 9, and you're done!
== Example solve ==
Scramble: R Uw B' Uw' Rw' B2 Uw2 B' Uw' L2 D' Fw' B F2 Uw' B2 F' U2 F D' Uw2 R' Rw L2 Fw B' Rw' U' L2 Rw' B' U D Uw R' F' Rw2 F2 B' Uw'

z//inspection

D U Rw' F' U2 Rw2 U Rw Uw2 U' y Rw U2 Rw'//F2C, L&R colours

z F R U Rw U Rw' L' F//Pseudo cross

L2 3Rw' U' 3Rw2 U Rw U' Rw2 3Rw U 3Rw2 U Rw U' Rw' 3Rw2 Rw2 U2 Rw2 U' 3Rw' Rw U Rw' Lw' L U2 Rw// L4C

z' y' Uw2 R' U' R Uw2 F2//Solve pseudo cross

Uw' F' U F L' U2 L y2 Uw2 U F U' F' Uw' y R U R' Uw' R U2 R' Uw//Pair edges

z R2 L2 D L2//Solve line

y L F L' y' R2 U Rw U2 Rw2 U' Rw' U2 Rw U2 Rw' U Rw2 U2 Rw2 U R2 U' Rw'//Edge orientation

R' U R U L U L' R' U' R' U2 R' U R' U2 R U2 R' U R L' U' L//ZZ F2L

U R' U L U' R U L'//COLL

Rw2 F2 U2 Rw2 R2 U2 F2 Rw2 U2 //EPLL+Parity
[https://alg.cubing.net/?puzzle=4x4x4&setup=R_Uw_B-_Uw-_Rw-_B2_Uw2_B-_Uw-_L2_D-_Fw-_B_F2_Uw-_B2_F-_U2_F_D-_Uw2_R-_Rw_L2_Fw_B-_Rw-_U-_L2_Rw-_B-_U_D_Uw_R-_F-_Rw2_F2_B-_Uw-&alg=z%2F%2Finspection%0AD_U_Rw-_F-_U2_Rw2_U_Rw_Uw2_U-_y_Rw_U2_Rw-%2F%2FF2C,_L%26R_colours%0Az_F_R_U_Rw_U_Rw-_L-_F%2F%2FPseudo_cross%0AL2_3Rw-_U-_3Rw2_U_Rw_U-_Rw2_3Rw_U_3Rw2_U_Rw_U-_Rw-_3Rw2_Rw2_U2_Rw2_U-_3Rw-_Rw_U_Rw-_Lw-_L_U2_Rw%2F%2F_L4C%0Az-_y-_Uw2_R-_U-_R_Uw2_F2%2F%2FSolve_pseudo_cross%0AUw-_F-_U_F_L-_U2_L_y2_Uw2_U_F_U-_F-_Uw-_y_R_U_R-_Uw-_R_U2_R-_Uw%2F%2FPair_edges%0Az_R2_L2_D_L2%2F%2FSolve_line%0Ay_L_F_L-_y-_R2_U_Rw_U2_Rw2_U-_Rw-_U2_Rw_U2_Rw-_U_Rw2_U2_Rw2_U_R2_U-_Rw-%2F%2FEdge_orientation%0AR-_U_R_U_L_U_L-_R-_U-_R-_U2_R-_U_R-_U2_R_U2_R-_U_R_L-_U-_L%2F%2FZZ_F2L%0AU_R-_U_L_U-_R_U_L-%2F%2FCOLL%0ARw2_F2_U2_Rw2_R2_U2_F2_Rw2_U2_%2F%2FEPLL%26%232b%3BParity]

142 moves with double parity.

== Advantages and Disadvantages ==

Advantages:
*Gives a ZZ finish for a similar movecount to Yau, with all of the advantages Yau has.
*Better ways to deal with parity. The number of algs used in a solve with double parity is one less than with standard Yau with double parity, and PLL parity recognition is easier due to corners being solved.
*The EO recognition is suitable for doing mid-solve, unlike with standard ZZ.
*Due to the freedom of having a wider selection of edges for pseudo cross, it is more efficient than yau cross.

Disadvantages:
*Pseudo cross is more abstract than Yau cross, and therefore could be potentially slower as the recognition is harder.
*More steps to do after reduction is done (2: line and EO).
*Fewer pieces are directly solved in pseudo cross and EO compared to Yau and [[Hoya]] and [[Meyer]].

== See also ==
*[[ZZ]]
*[[Z4]]
*[[NS4]]
*[[Petrus]]
*[[Mehtad]]

== External links ==
*Lars Petrus' EO tutorial: https://lar5.com/cube/fas3.html
*ZZ text tutorial (Conrad Rider): http://cube.crider.co.uk/zz.php
*ZZ video tutorial (Phil Yu): https://www.youtube.com/watch?v=Q9f-uHyHeQs&list=PLD9771CF83F13B110
*Original proposal thread: https://www.speedsolving.com/forum/threads/4z4-a-new-4x4-method-for-zz-users.70473/

2018-10-20T12:07:49Z

Papasmurf: Created page with "{{Method Infobox |name=4Z4 |image=Z4.gif |proposers= Joseph Tudor |year=2017 |anames= |variants= |steps= 10 |moves= 130? |algs= 52 (1 OLL parity, 42 COLL, 9 EPLL+parity) |..."

{{Method Infobox
|name=4Z4
|image=Z4.gif
|proposers= [[Joseph Tudor]]
|year=2017
|anames=
|variants=
|steps= 10
|moves= 130?
|algs= 52 (1 OLL parity, 42 COLL, 9 EPLL+parity)
|purpose=
* [[Speedsolving]]
* [[Big Cubes]]
}}
== 4Z4 ==

The '''4Z4''' method is a 4x4 speedsolving method for [[ZZ method]] solvers. It starts off with a redux stage very similar to the [[Yau method]]'s, but it ends with a ZZ finish, giving the preferable method for ZZ solvers while retaining the advantages that Yau has. It is a definite improvement over other ZZ based 4x4 methods such as [[Z4]] and [[NS4]] due to a lower movecount and better ergonomics.

Currently, there are no notable solvers with 4Z4 as it is quite a new method, as well as there being very few ZZ solvers who are fast at 4x4.

== Steps ==

# Solve 2 opposite centres. These will be your L and R colours that you use for ZZ on 3x3.
# Solve 3 pseudo cross edges on L. (These have to meet a specific requirement and will be explained later.)
# Solve last 4 centres
# Solve final pseudo cross edge
# Pair last 8 edges using 3-2-3 edge pairing or your preferred edge pairing technique
# Solve line. You do this by positioning the line edge that isn't in the pseudo cross in DR, and using an L move to place the other one at DL. You then do a D/D' to solve the line, then an L2 to positiont the pseudo cross in DL.
# Solve edge orientation and do OLL parity
# ZZ F2L
# [[COLL]]
# EPLL+Parity

== The Pseudo Cross ==

The pseudo cross needs to have these specific edges:
*1 line edge
*The left cross edge (and should match with your left centre)
*2 edges that don't meet the other requirements (any E slice edge, any U layer edge and the opposite cross edge)

It is generally considered better if you solve the line edge and the cross edge in the same relationship to each other every time (for example, opposite). Also, you don't technically have to solve the cross edge, but it limits the amount of L2 moves you have to do later on.

== Edge Orientation ==

The way you do edge orientation is identical to the way in Petrus, just you need to stretch the definition of a bad edge to any edge. You hold the cube so that the line and pseudo cross are in BD (which means tha your L/R colours are on F/B).

There are 2 types of edges:
*E slice
*U/D layer

If an E slice edge is in E, and the colour on F is opposite or the same as the centre colour, it is good. If it is not, it is bad.
The inverse is true if the edge is on U/D. If the colour on U/D is opposite or the same to the colour of the centre on F, it is bad. If not, it is good.

For a U/D edge, if the U/D colour is the same/opposite as the U/D centre and is on U/D it's good. If the U/D colour isn't matching to the F centre, it is good, but if it is, it's bad.

You use R/L to flip edges, U/F to replace them, then undo the flip.

The parity algorithm flips one edge and doesn't preserve F2L. You hold the edge in UF and with the line in the normal position, so you essentially orientate as many edges in petrus style as possible, then rotate to put your line in the normal position, do parity, then continue. This is the algorithm: Rw U2 Rw2 U' Rw' U2 Rw U2 Rw' U Rw2 U2 Rw2 U R2 U' Rw'

NB. If you are good at [[LEOR]], the line and EO step can be merged into one.
== Last Layer ==

For the last layer, you can use the same [[COLL]] algs as on 3x3, as you don't need to worry about orientation parity due to it being solved already.

After COLL, you have EPLL+parity. There are the 4 normal [[EPLL]] cases (H-perm, Ua-perm, Ub-perm, Z-perm), plus the additional opposite swap, adjacent swap, Oa, Ob and W permutations.

Opposite swap
[[Image:Opppllparity.png|110px|]]
{{Alg5|wca=r2 U2 r2 Uw2 r2 u2
|sign=2R2 U2 2R2 u2 2R2 2U2
|length=(12,6)|name=|wide=N|author=Chris Hardwick
|url=http://www.stefan-pochmann.info/spocc/other_stuff/4x4_5x5_algs/?section=FixPermutationParity
}}
{{Alg5|wca=(Rw2 F2 U2) r2 (U2 F2 Rw2)
|sign=(r2 F2 U2) 2R2 (U2 F2 r2)
|length=(14,7)|name=|wide=N|author=Stefan Pochmann
|url=http://www.stefan-pochmann.info/spocc/other_stuff/4x4_5x5_algs/?section=FixPermutationParity
}}

Adjacent swap
[[Image:Oadjpllparity.png|110px|]]
{{Alg5|wca=(R U R' U') r2 U2 r2 Uw2 r2 Uw2 (U' R U' R')
|sign=(R U R' U') 2R2 U2 2R2 u2 2R2 u2 (U' R U' R')
|length=(20,14)|name=|wide=N|author=Chris Hardwick
|url=http://www.stefan-pochmann.info/spocc/other_stuff/4x4_5x5_algs/?section=FixPermutationParity
}}
{{Alg5|wca=(R U R' U') (Rw2 F2 U2) r2 (U2 F2 Rw2) (U R U' R')
|sign=(R U R' U') (r2 F2 U2) 2R2 (U2 F2 r2) (U R U' R')
|length=(22,15)|name=|wide=N|author=Stefan Pochmann
|url=
}}

Oa Permutation
[[Image:Circ4cyccw.png|110px|]]
{{Alg5|wca=M2 U M2 U M' U2 l2 U2 r2 Uw2 r2 u2 M'
|sign=M2 U M2 U M' U2 2L2 U2 2R2 u2 2R2 2U2 M'
|length=(22,13)|name=|wide=N|author=
|url=http://hem.bredband.net/_zlv_/rubiks/4x4/444pllpar.html
}}

Ob Permutation
[[Image:Circ4cy.png|110px|]]
{{Alg5|wca=M2 U' M2 U' M' U2 l2 U2 r2 Uw2 r2 u2 M'
|sign=M2 U' M2 U' M' U2 2L2 U2 2R2 u2 2R2 2U2 M'
|length=(22,13)|name=|wide=N|author=
|url=http://hem.bredband.net/_zlv_/rubiks/4x4/444pllpar.html
}}

W permutation
[[Image:Zigzag4cycdedges.png|110px|]]
{{Alg5|wca=(U') R' U R' U' R' U' R' U R U' Uw2 r2 Uw2 r2 U2 Rw2
|sign=(U') R' U R' U' R' U' R' U R U' u2 2R2 u2 2R2 U2 r2
|length=(21,16)|name=SP04
|wide=N|author=Stefan Pochmann
|url=http://hem.bredband.net/_zlv_/rubiks/4x4/444pllpar.html
}}

Do the correct algorithm out of the 9, and you're done!
== Example solve ==
Scramble: R Uw B' Uw' Rw' B2 Uw2 B' Uw' L2 D' Fw' B F2 Uw' B2 F' U2 F D' Uw2 R' Rw L2 Fw B' Rw' U' L2 Rw' B' U D Uw R' F' Rw2 F2 B' Uw'

z//inspection

D U Rw' F' U2 Rw2 U Rw Uw2 U' y Rw U2 Rw'//F2C, L&R colours

z F R U Rw U Rw' L' F//Pseudo cross

L2 3Rw' U' 3Rw2 U Rw U' Rw2 3Rw U 3Rw2 U Rw U' Rw' 3Rw2 Rw2 U2 Rw2 U' 3Rw' Rw U Rw' Lw' L U2 Rw// L4C

z' y' Uw2 R' U' R Uw2 F2//Solve pseudo cross

Uw' F' U F L' U2 L y2 Uw2 U F U' F' Uw' y R U R' Uw' R U2 R' Uw//Pair edges

z R2 L2 D L2//Solve line

y L F L' y' R2 U Rw U2 Rw2 U' Rw' U2 Rw U2 Rw' U Rw2 U2 Rw2 U R2 U' Rw'//Edge orientation

R' U R U L U L' R' U' R' U2 R' U R' U2 R U2 R' U R L' U' L//ZZ F2L

U R' U L U' R U L'//COLL

Rw2 F2 U2 Rw2 R2 U2 F2 Rw2 U2 //EPLL+Parity
[https://alg.cubing.net/?puzzle=4x4x4&setup=R_Uw_B-_Uw-_Rw-_B2_Uw2_B-_Uw-_L2_D-_Fw-_B_F2_Uw-_B2_F-_U2_F_D-_Uw2_R-_Rw_L2_Fw_B-_Rw-_U-_L2_Rw-_B-_U_D_Uw_R-_F-_Rw2_F2_B-_Uw-&alg=z%2F%2Finspection%0AD_U_Rw-_F-_U2_Rw2_U_Rw_Uw2_U-_y_Rw_U2_Rw-%2F%2FF2C,_L%26R_colours%0Az_F_R_U_Rw_U_Rw-_L-_F%2F%2FPseudo_cross%0AL2_3Rw-_U-_3Rw2_U_Rw_U-_Rw2_3Rw_U_3Rw2_U_Rw_U-_Rw-_3Rw2_Rw2_U2_Rw2_U-_3Rw-_Rw_U_Rw-_Lw-_L_U2_Rw%2F%2F_L4C%0Az-_y-_Uw2_R-_U-_R_Uw2_F2%2F%2FSolve_pseudo_cross%0AUw-_F-_U_F_L-_U2_L_y2_Uw2_U_F_U-_F-_Uw-_y_R_U_R-_Uw-_R_U2_R-_Uw%2F%2FPair_edges%0Az_R2_L2_D_L2%2F%2FSolve_line%0Ay_L_F_L-_y-_R2_U_Rw_U2_Rw2_U-_Rw-_U2_Rw_U2_Rw-_U_Rw2_U2_Rw2_U_R2_U-_Rw-%2F%2FEdge_orientation%0AR-_U_R_U_L_U_L-_R-_U-_R-_U2_R-_U_R-_U2_R_U2_R-_U_R_L-_U-_L%2F%2FZZ_F2L%0AU_R-_U_L_U-_R_U_L-%2F%2FCOLL%0ARw2_F2_U2_Rw2_R2_U2_F2_Rw2_U2_%2F%2FEPLL%26%232b%3BParity]

142 moves with double parity.

== Advantages and Disadvantages ==

Advantages:
*Gives a ZZ finish for a similar movecount to Yau, with all of the advantages Yau has.
*Better ways to deal with parity. The number of algs used in a solve with double parity is one less than with standard Yau with double parity, and PLL parity recognition is easier due to corners being solved.
*The EO recognition is suitable for doing mid-solve, unlike with standard ZZ.
*Due to the freedom of having a wider selection of edges for pseudo cross, it is more efficient than yau cross.

Disadvantages:
*Pseudo cross is more abstract than Yau cross, and therefore could be potentially slower as the recognition is harder.
*More steps to do after reduction is done (2: line and EO).
*Fewer pieces are directly solved in pseudo cross and EO compared to Yau and [[Hoya]] and [[Meyer]].

== See also ==
*[[ZZ]]
*[[Z4]]
*[[NS4]]
*[[Petrus]]

== External links ==
*Lars Petrus' EO tutorial: [https://lar5.com/cube/fas3.html]
*ZZ text tutorial (Conrad Rider): [http://cube.crider.co.uk/zz.php]
*ZZ video tutorial (Phil Yu): [https://www.youtube.com/watch?v=Q9f-uHyHeQs&list=PLD9771CF83F13B110]

Speedsolving.com Wiki:Requested articles

2018-10-19T17:31:58Z

Papasmurf: /* Methods and Substeps */

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== Templates ==
* separate [[Template:Substep Header]] out of [[Template:Substep Infobox]]
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== Competitions ==
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Eventual goal:
* Make a page on all notable WCA competitions

== Cubes ==
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== Products ==
* [[Martian Lube]] (Martian lubricant)
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* [[Gravity Grip]]
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== Puzzle Types ==
* [[4D cubing]], [[3x3x3x3]], [[4D solving algorithms]] (by puzzle), [[higher dimensions cubing]]
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== Software ==
* [[min2phase]]

== Subsets ==
* [[OLL-E]]
* [[OCE(P)LL]]

== Terminology ==
* [[Singmaster Notation]]
* [[SiGN]] notation
* [[Factory solve]]
* [[Washer]] (hardware)
* [[torpedo]]
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* [[brand]]
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* [[1gen]]
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* Weight 0.1 through 8
* [[brand]]
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* [[Sum of Average Ranks]]
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== Other requests ==
* delete protected file <nowiki>[[File:Thomascharms1155.jpg]]</nowiki> (vandalism)
* fix all [[Special:DoubleRedirects]]

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