Difference between revisions of "NMCLL"

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{{Substep Infobox
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{| border="1" class="infobox-template" style="float: right; border-collapse:collapse; width: 22em; font-size: 90%; margin: 0 0 10px 10px;"
|name=NMCLL
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|image=NMCLL.png
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{| border="0" cellpadding="3" bgcolor="#F0F0F0" cellspacing="2" style="color:black; text-align:center; width: 100%"
|proposers=[[Gilles Roux/old_revision|Gilles Roux]], [[James Straughan]]
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|-
|year=2004
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| bgcolor="#D0DFEE" colspan="2" style="font-size: 125%;" | '''{{{name|NMCLL}}}'''
|subgroup=
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|-
|algs=42
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| colspan="2" style="font-size:90%;"| {{#if:{{{image}}}|[[Image:{{{image|NMCLL.png}}}]]|}}
|moves=
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|-
|purpose=<sup></sup>
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| bgcolor="#E0E8EF" colspan="2" | '''Information'''
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|-
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| bgcolor="#F0F0F0"  align="right" | '''Proposer(s):'''
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| align="left" | {{{proposers|[[Gilles Roux/old_revision|Gilles Roux]], [[James Straughan]]}}}
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|-
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| bgcolor="#F0F0F0"  align="right" | '''Proposed:'''
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| align="left" | {{{year|2004}}}
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|-
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| bgcolor="#F0F0F0"  align="right" | '''No. Steps:'''
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| align="left" | {{{steps|2}}}
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|-
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| bgcolor="#F0F0F0"  align="right" | '''No. Algs:'''
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| align="left" | {{{algs|42}}}
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|-
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| bgcolor="#F0F0F0"  align="right" | '''Purpose(s):'''
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| align="left" | {{{purpose|<sup></sup>
 
* [[Speedsolving]]
 
* [[Speedsolving]]
* [[FMC]]
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* [[FMC]]}}}
}}
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|-
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|}
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|}
  
'''NMCLL''' is the name given to the last layer of corners when one layer is offset by 90 or 180 degrees. It is a subset of [[A2]] and can be used as a 2x2 method in combination with, and using the same algorithms as, [[CLL]]. NMCLL is also used in 3x3 methods, such as [[Roux]], [[ZZ]], and [[Petrus]] when non-matching blocks are built. NMCLL was originally proposed by Gilles Roux for the Roux method and the recognition method was co-developed by James Straughan.
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'''NMCLL''' is the name given to the last layer of corners when one layer is offset by 90 or 180 degrees. It is a subset of [[A2]] and can be used as a 2x2 method in combination with, and using the same algorithms as, [[CLL]]. NMCLL is also used in 3x3 methods, such as [[Roux]], [[ZZ]], and [[Petrus]] when matching or non-matching blocks are built. NMCLL was originally proposed by Gilles Roux for the Roux method and the recognition method was co-developed by James Straughan.
  
 
== Description ==
 
== Description ==
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=== Pattern ===
 
=== Pattern ===
  
The below image shows each of the 42 CLL cases. Each CLL case has two possible orientations. The two L/R orientation patterns are shown along with the full case below them. The white colors are the locations of matching colors as described in the Orientation section above.
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The below image shows each of the 42 CLL cases. Each CLL case has two possible orientations. The L/R orientations are listed along with their individual patterns. Orange and red are the L/R colors and the white colors are the locations of matching colors as described in the Orientation section above. The lines show the positions of matching colors. A pattern can have 2, 1, or 0 sets of matching colors. A complete algorithm list for the NMCMLL version can be found at the bottom of this page.
  
[[image:NMCLL_Patterns.png|1000px]]
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[[image:NMCLLPatterns.png|800px]]
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Below is a chart for those transitioning from a different recognition method. This chart shows the patterns for both recognition methods so that they can easily be compared.
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[[image:NMCLL_Patterns_(Transition).png|1000px]]
  
 
== See also ==
 
== See also ==
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== External links ==
 
== External links ==
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* [https://docs.google.com/spreadsheets/d/1BUt299RvoSDdtUEEMnGALo7jVqHnuhZS64-KZZ6TEKI/edit?usp=sharing NMCMLL Algorithm List]
 
* [https://sites.google.com/site/athefre/roux Athefre's original page from 2010]
 
* [https://sites.google.com/site/athefre/roux Athefre's original page from 2010]
* [http://grrroux.free.fr/method/Step_3.html Gilles Roux's CMLL Page]
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* [http://grrroux.free.fr/method/Step_3.html Gilles Roux's CMLL Page (NMCMLL at the bottom)]
  
 
[[Category:3x3x3 last layer substeps]]
 
[[Category:3x3x3 last layer substeps]]

Revision as of 19:22, 12 May 2020

NMCLL
NMCLL.png
Information
Proposer(s): Gilles Roux, James Straughan
Proposed: 2004
No. Steps: 2
No. Algs: 42
Purpose(s):

NMCLL is the name given to the last layer of corners when one layer is offset by 90 or 180 degrees. It is a subset of A2 and can be used as a 2x2 method in combination with, and using the same algorithms as, CLL. NMCLL is also used in 3x3 methods, such as Roux, ZZ, and Petrus when matching or non-matching blocks are built. NMCLL was originally proposed by Gilles Roux for the Roux method and the recognition method was co-developed by James Straughan.

Description

During a solve, it isn't initially required that the bottom layer of corners match. In Roux, for example, this gives four options for the second block. These pseudo blocks also have an effect on the last layer. More stickers from the F, B, and D layers can be mixed in. While any recognition can be used, the traditional ways are difficult to use with all non-matching corner types. A recognition method has been developed specifically to solve this problem and works equally well with matching and non-matching corners. All of the same algorithms are used, though memorization of two orientations per algorithm is required. The use of this technique reduces the number of moves in the solve, which is especially useful for 2x2.

Recognition Method

Step 1: Within the U layer corners, find the orientation of the colors that are on the left and right side of the cube. If your cube has yellow on the top and blue on the front, that means you will look for the orientation of the orange and red colors.

Step 2: Check the pre-determined spots for matching colors.

This has the same recognition speed as the method used by speedsolvers for normal corners. This method works equally well for both matching and non-matching corners. Just like usual recognition methods, users can change the pre-determined color locations to better fit their own style or to perform recognition from all angles.

Orientation

The below image shows the possible orientations and the places to look for matching colors. The blue lines show the two sets of matching stickers. A case will have both sets of matching stickers, one set, or no set at all.

NMCLL Orientations.png

Pattern

The below image shows each of the 42 CLL cases. Each CLL case has two possible orientations. The L/R orientations are listed along with their individual patterns. Orange and red are the L/R colors and the white colors are the locations of matching colors as described in the Orientation section above. The lines show the positions of matching colors. A pattern can have 2, 1, or 0 sets of matching colors. A complete algorithm list for the NMCMLL version can be found at the bottom of this page.

NMCLLPatterns.png

Below is a chart for those transitioning from a different recognition method. This chart shows the patterns for both recognition methods so that they can easily be compared.

NMCLL Patterns (Transition).png

See also

External links