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    Twisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesTwisting Corners & Flipping Edges    
   
Any position has an individual, characteristic pattern - or a 'face'. Every flipped edge pair is to find in its own position within the twisted corners.

The 'windwheel' of the first four looks to the right, clockwise, the following counterwise.

From the outer side we have then four different positions of the flipped edges:
   
Jede Stellung hier hat ein individuelles, charakterisches 'Muster' - oder ein Gesicht. Jedes gewendete Kantenpaar befindet sich innehalb der gedrehten Ecken an einer eigenen Position.

Das 'Windrad' der ersten vier zeigt nach rechts, läuft also sozusagen im Uhrzeigersinn, die gegenüberliegenden vice versa.

Von außen nach innen haben wir also vier verschiedene Anordnungen der gewendeten kanten:

   
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Rider: the edge pair sits on the 'windwheel' Reiter: das Kantenpaar sitzt dem 'Windrad' auf
               
  Guest: the pair is within the wheel       Gast: das Kantenpaar fährt im 'Windrad' mit.
               
  Horse: Those stones lead the wheel       Pferd: dieses Paar sitzt vor dem Windrad
               
  Passant: the pair is without the wheel       Passant: Hier befindet es sich außerhalb des 'Windrades'




Twisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesTwisting Corners & Flipping Edges

   
   
With opposite flipped edges there are two ways to characterize the face: first one edge is before the wheel, in the second case behind. First impression is that before steeps the face, that behind flatens this:
   
Bei oppositionell gewendeten Kanten liegt einmal eine Kante vor dem Windrad, einmal dahinter. Im ersten Fall wird das Bild flacher, im zweiten Fall steiler:

   
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steep oppo's triangel steile Oppo's Triangel
               
  flat oppo's triangel       flache Oppo's Triangel


Twisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesTwisting Corners & Flipping Edges

   
   
Irregular twisted corners have truly a face. The here shown upper corners, twisted straight, are the eyes, the lower, odd twisted corners are the ears. The diagonal flipped edges are either 'left, right eye' or 'left, right ear'.
   
Irregulär gedrehte Ecken haben wahrlich ein Gesicht. Die hier oberen, gerade gedrehten Ecken sind die Augen, die unteren, ungerade gedrehten Ecken sind die Ohren.Die diagonal gewendeten Kantenpaare sind entweder 'das linke, das rechte Auge' oder 'das linke, das rechte Ohr'.
   
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'left eye' 'linkes Auge'
           
  'right eye'     'rechtes Auge'
           
  'left ear'     'linkes Ohr'
           
  'right ear'     'rechtes Ohr'


Twisting Corners & Flipping EdgesTwisting Corners & Flipping Edges

   
    Opposite flipped edges I call here 'key' and 'bar'. Vertical orientation is the key, horizontal is bar.     Entgegengesetzt gewendete Kanten nenne ich hier 'Schlüssel' und 'Riegel'. Sind sie vertikal im oberen Bild angeordnet, handelt es sich um den Schlüssel, horizontal ist es der Riegel.
   
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'key' 'Schlüssel'
           
  'bar'     'Riegel'



Twisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesTwisting Corners & Flipping EdgesTwisting Corners & Flipping Edges

   
    With 'odd' and 'straight' corners I'm using the terms 'eye' and 'ear'. In an assembly I show the use:     Auch bei den 'geraden' und 'ungeraden' Ecken verwende ich die Begriffe 'Auge' und 'Ohr'. In einer Zusammenstellung sieht das dann so aus:    
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straight eye left gerades Auge links
           
  straight eye right     gerades Auge rechts
           
  straight ear left     gerades Ohr links
           
  straight ear right     gerades Ohr rechts
         
  odd eye left     ungerades Auge links
           
  odd eye right     ungerades Auge rechts
           
  odd ear left     ungerades Ohr links
           
  odd ear right     ungerades Ohr rechts






   
    At the end the 'regular' corners remain. They are named by the same scheme, but only with eyes, due to symmetrie:     Zuletzt bleiben noch die 'regulären' Ecken. Auch sie werden nach dem selben Schema benannt, allerdings gibt es hier, wegen der symmetrischen Eigenschaften, nur Augen:    
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regular eye left reguläres Auge links
           
  regular eye right     reguläres Auge rechts



   
    Further in the last three cases the terms 'key' and 'bar' are used as described before: odd key, straight bar, regular key.

        Des weiteren werden in den letzten drei Fällen die Begriffe 'Schlüssel' und 'Riegel' wie bereits beschrieben verwerndet, also ungerader Schlüssel, gerader Riegel, regulärer Schlüssel.

   
06/11/2009 11.06.2009
   
   
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