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Corners Moved Straight - Edges Moved Straight 1Corners Moved Straight - Edges Moved Straight 2Corners Moved Straight - Edges Moved Diagonal P1Corners Moved Straight - Edges Moved Diagonal P2Corners Moved Straight - Edges Moved Diagonal M2Corners Moved Straight - Edges Moved Diagonal M1CMD1 EMS1CMD2 EMS1Corners Moved Diagonal 2 - Edges Moved Diagonal P1Corners Moved Diagonal 1 - Edges Moved Diagonal P1Corners Moved Positive - the long arm is the 'arrowpeak'Corners Moved Negative - the long arm is the 'arrowpeak'Corners Moved ParallelCorners Moved CrossEdges Moved Positive - the long arm is the 'arrowpeak'Edges Moved Negative - the long arm is the 'arrowpeak'Edges Moved ParallelEdges Moved CrossG-Permutation - Nose UpG-Permutation - Hand UpG-Permutation - Hand DownG-Permutation - Nose DownEdges Flipped NeighboursEdges Flipped OppositeEdges Flipped AllCorners Twisted StraightCorners Twisted NeighboursCorners Twisted DiagonalCorners Twisted PositiveCorners Twisted NegativeCorners Twisted RegularCorners Twisted IrregularCorners Moved Straight - Twisted StraightCorners Moved Straight - Twisted NeighboursCorners Moved Straight - Twisted DiagonalCorners Moved Straight - Twisted PositiveCorners Moved Straight - Twisted NegativeCorners Moved Straight - Twisted IrregularCorners Moved Straight - Twisted Regular
Twisting Corners & Flipping EdgesCorners Moved StraightCorners Moved DiagonalCorners Moved Positive - the long arm is the 'arrowpeak'Corners Moved Negative - the long arm is the 'arrowpeak'Corners Moved ParallelCorners Moved CrossFlipping EdgesEdges Moved StraightEdges Moved DiagonalEdges Moved Positive - the long arm is the 'arrowpeak'Edges Moved Negative - the long arm is the 'arrowpeak'Edges Moved ParallelEdges Moved Crossbest browser - Bester Browsercolor distribution - Farbverteilung
               
  english discussion about mentioned sequences (back to top)
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deutsche Erörterung von Zugfolgen (zurück nach oben)  
                   
   
Mono Class

An intelligent invention is the mono class only by half. The sequences are often to long to apply. But for understanding of the Double Mono Class the samples are helpful.

Single stones are brought out of their position, the next place is turned in, the first stone replaces the stone on the second place, or one stone is twisted resp. flipped, the backward sequence applied or the sequence is repeated multiple


Here the sequences:

   
Mono Klasse

Eine sinnvolle Erfindung ist die Mono Klasse nicht ganz. Die Folgen sind meist viel zu aufwändig, um damit sinnvoll umgehen zu können. Doch zum Verständnis der Doppel Mono Klasse können diese Beispiele hilfreich sein.

Einzelne Steine werden aus ihrem Platz gedreht, der nächste Platz eingedreht, der erste Stein wirft den zweiten heraus, usw., oder ein Stein wird gewendet, resp. gedreht, die Rückwärtsfolge angewandt oder mehrfach die Vorwärtsfolge ausgeführt.

Hier die Zugfolgen:

   
   
CTSp1CTSm1RF'R'FRF'R'FU'F'RFR'F'RFR'U'
R'DRD'R'DRU'R'D'RDR'D'RU

CTNp1CTNm1F'RFR'F'RFR'U'RF'R'FRF'R'FU'
R'D'RDR'D'RU'R'DRD'R'DRU

Corners Twisted Diagonal Clear - edges and corners are fixCorners Twisted Diagonal Clear - edges and corners are fixF'RFR'F'RFR'U²RF'R'FRF'R'FU²
R'DRD'R'DRU²R'D'RDR'D'Rd²
Corners Twisted Diagonal Clear - edges and corners are fixRD'R'B'D'BU''B'DBRDR'U''

Corners Twisted Positive Clear - edges and corners are fixCorners Twisted Positive Clear - edges and corners are fixRF'R'FRF'R'FUexecute only once: / führe nur einmal aus:Uexecute only once: / führe nur einmal aus:U²
Corners Twisted Negative Clear - corners and edges are fixCorners Twisted Negative Clear - corners and edges are fixF'RFR'F'RFR'U'execute only once: / führe nur einmal aus:U'execute only once: / führe nur einmal aus:U²
Corners Twisted Regular Clear - edges and corners are fixCorners Twisted Regular Clear - edges and corners are fixRF'R'FRF'R'FU'F'RFR'F'RFR'U'
CTIp1Corners Twisted Irregular Clear - edges and neighbours are fixRF'R'FRF'R'FUF'RFR'F'RFR'U

Twisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesR'D'RU''R'DRU'R'D'RU'R'DR

CMTm1CMTm2LDL'U²LD'L'ULDL'ULD'L'

CMP1CMP1R'D'RUR'DRU'R'D'RU''R'DRUR'D'RU'R'DRU''

CMCCMCR'D'RU''R'DRU''R'D'RU'R'DRU''R'D'RU''R'DRU
R'E'RU''R'ERU''R'E'RU'R'ERU''R'E'RU''R'ERU'
MDM'U²MD'M'U²MDM'UMD'M'U²MDM'U²MD'M'U

Edges Flipped Neighbours ClearEdges Flipped Neighbours ClearR'E'R²E²R'URE²R²ERU'
EFNp2MDM'D'MD²M'UMD²M'DMD'U'

EFO1EFO2R'E'R²E''R'U²RE''R²ERU²
EFO1MDM'D'MD²M'U²MD²M'DMD'U²

Edges Flipped All ClearEdges Flipped All ClearR'E'R²E²R'U
MDM'D'MD²M'UMD²M'DMD'U

Edges Moved Positive - the long arm is the 'arrowpeak'Edges Moved Positive - the long arm is the 'arrowpeak'R'E'RU''R'ERU'R'E'RU'R'ER
EMTp2MD'M'U²MDM'U'MD'M'U'MDM'

Edges Moved Negative - the long arm is the 'arrowpeak'Edges Moved Negative - the long arm is the 'arrowpeak'R'E'RUR'ERUR'E'RU''R'ER
EMm4MD'M'UMDM'UMD'M'U²MDM'

Edges Moved Parallel 1Edges Moved Parallel 1MDM'UMD'M'U'MDM'U'MD'M'U'MDM'UMD'M'U
F'R'E'RFR'E''RU²R'E''RF'R'ERFU²
R'E'RU'R'ERUR'E'RU''R'ERU'R'E'RUR'ERU''

Edges Moved CrossEdges Moved CrossMDM'U²MD'M'U²MDM'UMD'M'U²MDM'U²MD'M'U'
R'D'RU''R'DRU''R'D'RU'R'DRU''R'D'RU''R'DRU'
R'E'RU''R'ERU''R'E'RU'R'ERU''R'E'RU''R'ERU

   
    Mirrored combinations and situations are not displayed here         Gespiegelte Folgen und Situationen werden hier nicht angezeigt    
   
There are two main changes for the edges. Those are an exchange of stones over the horizontal central slice or over the U-slice.

 
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Bei den Kanten gibt es zwei vorwiegend auftretende Merkmale. Diese sind ein Austausch über die horizontale Mittelschicht oder über die U-Scheibe.

   
    07/15/2008   15.07.2008    
   
Application on other kind of cubes

The mono sequences open a gate to the solution of other cubes, which are in some way like the 3x3x3-cube. There their use is not always identical with the logic it is applied on Rubik's Cube.
       
Anwendung an anderen Würfeltypen

Die Monofolgen eröffnen Lösungswege für fast alle Würfeltypen, die dem 3er ähneln. Dabei ist ihre Anwendung dort nicht immer mit der Logik gleichsetzbar, mit der sie am Rubik's Cube verwendet wird.

   
    10/06/2010         06.10.2010    
                   
   
   
             

 

 

 

 

 

 

 

 

 

 

 

 

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