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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 Cross4 situationsArrows Help - Pfeile Hilfebest browser - Bester Browsercolor distribution - Farbverteilung
               
  english discussion about mentioned sequences (back to top)
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deutsche Erörterung von Zugfolgen (zurück nach oben)  
                   
   
Belt Class


The belt class is so called by me because three stones in one level are turned in a cycle - like a belt does.

Base is a variation of the bar class, the center slice turn is reduced to a 90°-turn.

   
Gürtel Klasse


Die Gürtel Klasse nenne ich so, da sie drei Steine in einer Ebene in einem Kreis bewegt - wie sich eben auch ein Gürtel verhält.

Basis ist eine Abwandlung der Balken Klasse, der Mittelschichtzug ist auf eine 90°-Drehung reduziert:

   
   


M'U²MU²

   
   
The area for applications is small. You can reach all four three edge cycles on third level except those where a fix edge is flipped, but to prepare this for usage there is to much effort to invest.

Thus only one member of third slice remains. Like in the bar class here I introduce elements of the second level:

   
Der Anwendungsbereich ist klein. Zwar lassen sich alle vier Variationen von Drei- Kanten-Tauschen auf einer Ebene realisieren, die keine an ihrem Platz gewendete Kante enthalten, doch gibt es dafür bessere Lösungen als umständliche Handlungen zur Herbeiführung vorzunehmen.

So bleibt nur ein Mitglied für die 3. Ebene. Wie auch in der Balkenklasse führe ich hier auch Elemente der 2. Schicht vor:

   
           
   
Edges Moved Positive - the long arm is the 'arrowpeak'EMTp2R²dMU²M'dr²

Edges Moved Negative - the long arm is the 'arrowpeak'EMm4R²d'M'U²Md'r²

moving 3 edges triangel positive2L moving 3 edges positive ER²E'R²u'

moving 3 edges triangel negative2L moving 3 edges negative ER²ER²u

   
    Mirrored combinations and situations are displayed here         Gespiegelte Folgen und Situationen werden hier angezeigt    
   
The bar class and the belt class are propably the genesis of sequences. I think that they belong to the first Ernö Rubik tested and applied on his first prototype, a heavy wooden cube.

 
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Die Balken Klasse und die Gürtel Klasse stellen vermutlich die Genesis der Zugfolgen an sich dar. Ich denke, daß sie mit zu den ersten gehörten, die Ernö Rubik auf seinem Prototypen, einem klobigen Holzwürfel, anwandte, ausprobierte.

   
   
    07/16/2008   16.07.2008    
   
   
             

 

 

 

 

 

 

 

 

 

 

 

 

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