Difference between revisions of "ZBLL"

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{{Method Infobox
+
{{Substep Infobox
 
|name=ZBLL
 
|name=ZBLL
 
|image=ZBLL.png
 
|image=ZBLL.png
 
|proposers=[[Zbigniew Zborowski]], [[Ron van Bruchem]], [[Lars Petrus]]
 
|proposers=[[Zbigniew Zborowski]], [[Ron van Bruchem]], [[Lars Petrus]]
 
|year=2002
 
|year=2002
|anames=Steps 5+6+7 ([[Petrus method]])
+
|anames=[[ZZ-a]], Steps 5+6+7 ([[Petrus method]])
|variants=
+
|variants=[[NMLL]]
|steps=1
+
|subgroup=
 
|algs=493
 
|algs=493
 
|moves=12.08 (Optimal [[HTM]])
 
|moves=12.08 (Optimal [[HTM]])
 
|purpose=<sup></sup>
 
|purpose=<sup></sup>
 
* [[Speedsolving]], [[FMC]]
 
* [[Speedsolving]], [[FMC]]
 +
|previous=[[LL:EO cube state]]
 +
|next=[[Solved cube state]]
 
}}
 
}}
  
'''ZBLL''' (short for ''[[Zbigniew Zborowski|Zborowski]]-[[Ron van Bruchem|Bruchem]] Last Layer'') is a step of a method which involves solving the entire [[last layer]] in one step, assuming that the [[edge]]s are already oriented. This is part of the [[ZB method]], but it can be useful for any other method which leaves the edges of the last layer oriented after F2L is solved (such as the [[Petrus method]]).
+
'''ZBLL''' (short for ''[[Zbigniew Zborowski|Zborowski]]-[[Ron van Bruchem|Bruchem]] Last Layer'') is a step of a method which involves solving the entire [[last layer]] in one step, assuming that the [[edge]]s are already oriented. This is part of the [[ZB method]], but it can be useful for any other method which leaves the edges of the last layer oriented after F2L is solved (such as the [[Petrus method]], or [[ZZ Method]]).
  
ZBLL indeed sounds like a very useful step to learn, but the main reason that it is not in wide use is that it involves a massive 177 algorithms (counting inverses and mirrors are the same), or a total of 493 cases (including PLL). Only a handful of people have ever learned this step in its entirety. If you wish to learn it, it is useful to start by learning either [[OCLL]]/[[PLL]] or [[COLL]]/[[EPLL]], so that you will always be able to finish the cube relatively quickly even if you do not yet know the ZBLL case.
+
ZBLL indeed sounds like a very useful step to learn, but the main reason that it is not in wide use is that it involves a massive total of 493 cases (including PLL). Only a handful of people have ever learned this step in its entirety. If you wish to learn it, it is useful to start by learning either [[OCLL]]/[[PLL]] or [[COLL]]/[[EPLL]] before you learn ZBLL, so that you will always be able to finish the cube relatively quickly even if you do not yet know the ZBLL case. Past that, the learning process is done however you'd like to do it. Many choose to skip learning the S and AS subsets due to their already very easy OLL cases. However, you will benefit if you also learn S and AS.
  
===Learning Approach===
+
==Learning Approach==
  
The ZBLL cases are divided into 7 sets: T, U, L, Pi, Sune, Anti-sune, H, and the Pll cases, in which all pieces are oriented. The sets are then divided further into 40 subsets. They are recognized by their [[COLL]] case as well as a corresponding edge cycle. Every subset contains 12 cases, which are all different edge cycles possible with the COLL case of that set. Many people recognize ZBLL by looking at the UFR corner and its neighboring stickers. Whether the stickers are adjacent, or opposite allows for a quick recognition. However, this method only works for the T, U and L subsets of ZBLL, because in the other cases the UFR corner is not correctly oriented. Another way to recognize is through blocks of colour or simply the edge cycle.  
+
The ZBLL cases are divided into 7 sets: T, U, L, Pi, Sune, Anti-sune, H, and the Pll cases, in which all pieces are oriented. The sets are then divided further into 6 subsets. They are recognized by their [[COLL]] case as well as a corresponding edge cycle. Every subset contains 12 cases, which are all different edge cycles possible with the COLL case of that set. Many people recognize ZBLL by looking at the UFR corner and its neighboring stickers. Whether the stickers are adjacent, or opposite allows for a quick recognition. However, this method only works for the T, U and L subsets of ZBLL, because in the other cases the UFR corner is not correctly oriented. Another way to recognize is through blocks of colour or simply the edge cycle.  
  
===Edge recognition===
+
==Edge recognition==
  
 
For the T, U and L cases (there are 3*6*12=216 algorithms in this set) recognition goes as follows:
 
For the T, U and L cases (there are 3*6*12=216 algorithms in this set) recognition goes as follows:
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A case is recognized by the combination of those. First comes the FU/FRU relation, then the RU/RUF relation, divided by a slash. That means there are 9 possibilities with these cases: C/C, C/A, C/O, A/C, A/A, A/O, O/C, O/A, O/O. However, there are 12 cases. That's because the A case can mean 2 stickers. That's why the last 3 cases are known as C/OX, O/CX and OppX. This means that you don't look for the relation between FU/FRU and RU/RUF, but between FU/RUF and RU/FRU. In the C/OX case, FU and RUF are the same, and RU and FRU are opposite to each other. The same goes for the O/CX case, but vice versa. In the OppX case, both FU/RUF and RU/FRU are opposite. This looks like a Z-permutation. Note that all of these cases can be seen as A/A cases at first, but whenever you have an A/A case, you should always look if it isn't the other one.
 
A case is recognized by the combination of those. First comes the FU/FRU relation, then the RU/RUF relation, divided by a slash. That means there are 9 possibilities with these cases: C/C, C/A, C/O, A/C, A/A, A/O, O/C, O/A, O/O. However, there are 12 cases. That's because the A case can mean 2 stickers. That's why the last 3 cases are known as C/OX, O/CX and OppX. This means that you don't look for the relation between FU/FRU and RU/RUF, but between FU/RUF and RU/FRU. In the C/OX case, FU and RUF are the same, and RU and FRU are opposite to each other. The same goes for the O/CX case, but vice versa. In the OppX case, both FU/RUF and RU/FRU are opposite. This looks like a Z-permutation. Note that all of these cases can be seen as A/A cases at first, but whenever you have an A/A case, you should always look if it isn't the other one.
  
== See Also ==
+
== Pros ==
 +
* Smaller movecount than doing OLL/PLL
 +
* Faster than doing OLL/PLL because you only need 1 look
 +
 
 +
== Cons ==
 +
* There are a total of 493 algorithms
 +
* Long and hard recognition
 +
* Requires edge orientation before doing ZBLL
 +
 
 +
== See also ==
  
 
* [[ZB Method]]
 
* [[ZB Method]]
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* [[ZZ-a]]
 
* [[ZZ-a]]
 
* [[VH Method]]
 
* [[VH Method]]
* [http://www.speedsolving.com/wiki/index.php/Special:AlgDB?mode=view&view=default&puzzle=3&group=ZBLL-T ZBLL Algorithms] (complete set)
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* [http://www.speedsolving.com/wiki/index.php/Special:MediaWikiAlgDB?mode=view&view=default&puzzle=3&group=ZBLL-T ZBLL Algorithms] (complete set)
 
* [[H ZBLL]] (Algorithms)
 
* [[H ZBLL]] (Algorithms)
 
* [[ZBLD]]
 
* [[ZBLD]]
 
* [[OPLL]]
 
* [[OPLL]]
  
== External Links ==
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== External links ==
 +
* Speedsolving.com: [http://www.speedsolving.com/forum/threads/bindedsas-algorithms.55518/ BindeDSA's Algorithms] - complete (2H and OH)
 
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=18172 Happy New Year! Also, ZBLL Algorithms] - complete
 
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=18172 Happy New Year! Also, ZBLL Algorithms] - complete
 
* [http://www.ai.univ-paris8.fr/~bh/cube/solutions_567.html Bernhard Helmstetter's ZBLL algs] - complete, but excludes mirrors/inverses
 
* [http://www.ai.univ-paris8.fr/~bh/cube/solutions_567.html Bernhard Helmstetter's ZBLL algs] - complete, but excludes mirrors/inverses
* [http://www.cubestation.co.uk/cs2/index.php?page=3x3x3/zb/zbll/zbll Dan Harris's ZBLL algs] - incomplete
 
* [http://jmbaum.110mb.com/zbll.htm Jason Baum's ZBLL algs] - incomplete
 
 
* [http://www-personal.umich.edu/~dlli/Hardwick/zbll.html Chris Hardwick's ZBLL algs] - incomplete
 
* [http://www-personal.umich.edu/~dlli/Hardwick/zbll.html Chris Hardwick's ZBLL algs] - incomplete
 
* [http://lar5.com/cube/270/index.html Lars Petrus's One-look 2-alg ZBLL system]
 
* [http://lar5.com/cube/270/index.html Lars Petrus's One-look 2-alg ZBLL system]
 
+
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=53675 Hierarchy of Last Layer Sub-Steps, Subsets of OLLCP and ZBLL]
 
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* [http://algdb.net/ All ZBLL algs]
[[Category:Methods]]
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* [http://tading.gitee.io/zbll/ TaDing's algorithms] - 472/493 (OH)
[[Category:Last Layer Methods]]
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* [https://www.speedcubingtips.eu/zbll-zborowski-bruchem-last-layer/ Speedcubingtips.eu ] Complete
[[Category:Fewest Moves Methods]]
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[[Category:3x3x3 last layer substeps]]
[[Category:Cubing Terminology]]
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[[Category:Fewest Moves methods]]
[[Category:Abbreviations and Acronyms]]
+
[[Category:Acronyms]]
[[Category:Sub Steps]]
 

Latest revision as of 05:50, 18 June 2019

ZBLL
ZBLL.png
Information
Proposer(s): Zbigniew Zborowski, Ron van Bruchem, Lars Petrus
Proposed: 2002
Alt Names: ZZ-a, Steps 5+6+7 (Petrus method)
Variants: NMLL
Subgroup:
No. Algs: 493
Avg Moves: 12.08 (Optimal HTM)
Purpose(s):
Previous state: LL:EO cube state
Next state: Solved cube state

LL:EO cube state -> ZBLL step -> Solved cube state


The ZBLL step is the step between the LL:EO cube state and the Solved cube state.

ZBLL (short for Zborowski-Bruchem Last Layer) is a step of a method which involves solving the entire last layer in one step, assuming that the edges are already oriented. This is part of the ZB method, but it can be useful for any other method which leaves the edges of the last layer oriented after F2L is solved (such as the Petrus method, or ZZ Method).

ZBLL indeed sounds like a very useful step to learn, but the main reason that it is not in wide use is that it involves a massive total of 493 cases (including PLL). Only a handful of people have ever learned this step in its entirety. If you wish to learn it, it is useful to start by learning either OCLL/PLL or COLL/EPLL before you learn ZBLL, so that you will always be able to finish the cube relatively quickly even if you do not yet know the ZBLL case. Past that, the learning process is done however you'd like to do it. Many choose to skip learning the S and AS subsets due to their already very easy OLL cases. However, you will benefit if you also learn S and AS.

Learning Approach

The ZBLL cases are divided into 7 sets: T, U, L, Pi, Sune, Anti-sune, H, and the Pll cases, in which all pieces are oriented. The sets are then divided further into 6 subsets. They are recognized by their COLL case as well as a corresponding edge cycle. Every subset contains 12 cases, which are all different edge cycles possible with the COLL case of that set. Many people recognize ZBLL by looking at the UFR corner and its neighboring stickers. Whether the stickers are adjacent, or opposite allows for a quick recognition. However, this method only works for the T, U and L subsets of ZBLL, because in the other cases the UFR corner is not correctly oriented. Another way to recognize is through blocks of colour or simply the edge cycle.

Edge recognition

For the T, U and L cases (there are 3*6*12=216 algorithms in this set) recognition goes as follows:

1. Recognize the orientation case.

2. Recognize the COLL case.

3. Recognize the edge cycle by looking at the UFR corner and the edge stickers around it.

4. Apply the corresponding algorithm.

Step 3 may look a little complicated, but it's actually not too bad. In total there are 12 cases, but those are recognized by 2 minor sub-cases, of which there are 3:

C: If the FU sticker is the same as the FRU sticker, and if the RU sticker is the same as the RUF sticker.

A: If the FU sticker is an adjacent color to the FRU sticker, and if the RU sticker is an adjacent color to the RUF sticker.

O: If FU and FRU are opposite, and if RU and RUF are opposite.

A case is recognized by the combination of those. First comes the FU/FRU relation, then the RU/RUF relation, divided by a slash. That means there are 9 possibilities with these cases: C/C, C/A, C/O, A/C, A/A, A/O, O/C, O/A, O/O. However, there are 12 cases. That's because the A case can mean 2 stickers. That's why the last 3 cases are known as C/OX, O/CX and OppX. This means that you don't look for the relation between FU/FRU and RU/RUF, but between FU/RUF and RU/FRU. In the C/OX case, FU and RUF are the same, and RU and FRU are opposite to each other. The same goes for the O/CX case, but vice versa. In the OppX case, both FU/RUF and RU/FRU are opposite. This looks like a Z-permutation. Note that all of these cases can be seen as A/A cases at first, but whenever you have an A/A case, you should always look if it isn't the other one.

Pros

  • Smaller movecount than doing OLL/PLL
  • Faster than doing OLL/PLL because you only need 1 look

Cons

  • There are a total of 493 algorithms
  • Long and hard recognition
  • Requires edge orientation before doing ZBLL

See also

External links