NavigationMatrixPatterns - MusterSolution - Lösungsolutions for higher cubes and other types - Lösungen für größere Würfel und andere TypenLinksspeedcubing - Schnelldrehendiary - Tagebuchpoetry - Poesiequicklink speedcubing - Schnellzugriff Schnelldrehenagainst righteous - gegen Rechtsabout me - über michmail to Admin - email an den AdministratorImpressumJF-system compared by web authors - JF-System-Vergleich über Web-Autoren
Deutsch Ecken diagonal tauschen SW-NO - Kanten gerade tauschen english moving corners diagonal SW-NE - moving edges straight
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
Edges Flipped ZeroEdges Moved StraightEdges Moved DiagonalCorners Twisted StraightCorners Twisted NeighboursCorners Twisted DiagonalCorners Twisted PositiveCorners Twisted NegativeCorners Twisted RegularCorners Twisted Irregular
ZeroEdges Flipped NeighboursEdges Flipped OppositeEdges Flipped AllCorners Twisted StraightCorners Twisted NeighboursCorners Twisted DiagonalCorners Twisted PositiveCorners Twisted NegativeCorners Twisted RegularCorners Twisted Irregular
CMD2 EMS1CMD1 EMS11 situationCMD1 EMS1CMD2 EMS11 situation
A0CMD1 EMS1R'UL'U²RU'LU'
( R' U L' · U² · R U' L )² U' (15,17) BobBurton PLL20
( ra ci la co ri ca li )²ca explanation of sound language - Erklärung der Lautsprache
L'ULU'r'U'F'ULFL'UL'U'rU'LBob Burton's speed sequences 72
(L' U) (L U') (r' U') (F' U) (L F) (L' U L' U') (r U' L) (17)
R'UL'U²RU'mUL'U²RU'LU'structure
R' U L' · U² · R U' m U L' · U² · R U' L · U' (15,17)
ra ci la co ri ca mish ci la co ri ca li ca explanation of sound language - Erklärung der Lautsprache
B0CMD2 EMS2L'ULU'r'U'F'ULFL'UL'U'rU'L
L' U · L U' · r' U' · F' U · L F · L' U L' U' · r U' L (15,17) BobBurton PLL20
equivalent / äquivalentL'UR'U²LU'm'UR'U²LU'RU
L U R' U² L U' m' U R' U² L U' R · U (13,16) Carlos Angosto
si la ci ra co li ca mash ci ra co li ca ri ci explanation of sound language - Erklärung der Lautsprache
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A1CMD1 EMS1L'UR'U²LU'm'UR'U²LU'RU'
L' U R' U² L U' m' U R' U² L U' R · U' (13,16) Carlos Angosto
la ci ra co li ca mash ci ra co li ca ri ca explanation of sound language - Erklärung der Lautsprache
A2LD'BL'D²RF'R'D²L²B'L'DL'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
L D' B L' D² R F' R' D² L² B' L' D L' (14,17)
A3RU'R²F²U'RF²R'UF²R²UR'U'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
(R U' R²) (F² U' R F² R') (U F²) (R² U R') (U') (14,19) Chris Hardwick
A4RU'R²F²U'RF²R'x²yDR²yr²UL'U'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
(R U' R²) (F² U' R F² R') (x² y) (D R²) y (r² U L') (U') (14,15)
A5L'UR'U''LU'm'UR'U''LU'RU'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
L' U R' U²' L U' L' R U R' U²' L U' R U' (14,17) Dan Harris
A6L'UR'U²LU'L'RUR'U²LU'RU'JFVergleich über Web-Autoren
L' U R' - U² L U' L' - R U R' - U² L U' - R U' (15,17)
zU'RD'R²UR'U'z'RUR'zR²UR'z'RU'
(f) U' R D' R² U R' U' - (f') R U R' (f) R² U R' (f') R U'
A7LD'BL'D²RF'R'D²L²B'L'DL'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
L D' B L' D² R F' R' D² L² B' L' D L' (14,17) Loic Fremont
A8zU'RD'R²UR'DU'RD'R²UR'DJF-system compared by web authors - JF-System-Vergleich über Web-Autoren
z (U' R D') (R² U R' D) (U' R D') (R² U R' D) (14,16) Peter Jansen
A9L'UR'U²LU'L'RUR'U²LU'RJF-system compared by web authors - JF-System-Vergleich über Web-Autoren
(L' U) (R' U²) (L U' L') (R U R' U²) (L U') R (14,16) Peter Jansen
A10R'UL'U²RU'LR'UL'U²RU'LU'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
(R' U L') U² (R U' L) (R' U L') U² (R U' L) U' (15,17) Richard Patterson
A11R'UL'U²RU'mUL'U²RU'LU'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
R' U L' U² R U' L R' U L' U² R U' L U' (15,17) Ron van Bruchem
A12BU'B²R²U'BR²B'UR²B²UB'UJF-system compared by web authors - JF-System-Vergleich über Web-Autoren
B U' B² R² U' B R² B' U R² B² U B' U (14,19) Ron van Bruchem
A13zU'Rx'B'R''xUR'DU'Rx'B'R²xR'z'RU'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
[f] (U' R[r'] B') (R²' [r] U R' D) (U' R[r'] B') (R²[r] R') [f'] (R U') (14,16) Ross Palmer
R'UL'U²RU'mUL'U²RU'LU'
R' U L' U² R U' LR' U L' U² R U' L U'
A14zU'RD'R²UR'U'z'RUR'zR²UR'z'RU'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
z (U' R D') (R² U R' U') z' (R U R') z (R² U R') z' (R U') (15,17) Dennis Nilsson
A15LD'BL'D²RF'R'D²L²B'L'DL'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
L D' B L' D² R F' R' D² L² B' L' D L' (14,17)
 
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B1CMD2 EMS2R'URU'R'F'U'FRUR'FR'F'RU'R
R' U R U' R' F' U' F R U R' F R' F' R U' R (17) StefanPochmann N2-Perm
ra ci ri ca ra fa ca fi ri ci ra fi ra fa ri ca ri explanation of sound language - Erklärung der Lautsprache
B1R'd'RU'R'dRUR'd'RU''R'dRU'R'd'RUR'dRU'
R' d' R · U' · R' d R · U · R' d' R · U'' · R' d R · U' · R' d' R · U · R' d R · U' (24,25)
B1R'U²RUR'U²LU'RUL'U
( R' U² R U R' U² L U' R U L' )² · U (23,27)
(ra co ri ci ra co li ca ri ci la)² ci explanation of sound language - Erklärung der Lautsprache
B1R'UL'd²LU'RL'UR'd²RU'LU
R' U L' d² L U' R  ·  L' U R' d² R U' L  ·  U
ra ci la do li ca ri la ci ra do ri ca li ciexplanation of sound language - Erklärung der Lautsprache
B5R'URU'R'F'U'FRUR'FR'F'RU'R
R' U R U' R' F' U' F R U R' F R' F' R U' R (17)
R'URU'R'F'U'FRUR'FR'F'RU'R
(R' U) (RU') R' F' U' F R (U R') F R' (F' R) (U' R) (17)
B6LD'BL'D²RF'R'D²L²B'L'DL'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
(L D') (B L') D² (R F' R') (D² L²) (B') (L' D L') (14,17)
B7zU'RD'R²UR'U'z'RUR'zR²UR'z'RUJFVergleich über Web-Autoren
(f) U' R D' R² U R'U' - (f') R U R' (f) R² U R' (f') R U (15,17)
B8y'zU'RD'R²UR'U'z'RUR'zR²UR'z'RUJF-system compared by web authors - JF-System-Vergleich über Web-Autoren
y' z (U' R D') (R² U R' U') z' (R U R') z (R² U R') z' (R U) (15,17) Dennis Nilsson
B9RD'F²L²D'LB²L'DL²F²DR'UJF-system compared by web authors - JF-System-Vergleich über Web-Autoren
R D' F² L² D' L B² L' D L² F² D R'(U) (13,18)
               
  english discussion about mentioned sequences (back to top)
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deutsche Erörterung von Zugfolgen (zurück nach oben)  
    CMD1 EMS1R'UL'U²RU'LU'    
   
This combination is a remarkable connection of sequence forward and backward. Because the first three elements are not inversed as usually in the serial, they are executed in the same way - but inversed arrow by arrow. So you might call the 2 groups commutators, but not the total sense.

The beauty of this symmetric situation is its ability to be solved without turning the last slice to a working position. The icon shows a point symmetrical situation.

If you turn the last slice by a quarter, e.g. 90°, the sequence works similar, although you need afterwards another last turn.

   
Diese Folge ist eine bemerkenswerte Verbindung von Zugfolge vorwärts und Zugfolge rückwärts. Denn die ersten 3 Elemente werden in der zweiten 3er-Gruppe nicht einfach umgedreht, sondern in derselben Reihenfolge ausgeführt, nur in der Gegenrichtung wie vorhergehend. Also eigentlich Kommutatoren, wenn auch nicht ganz.

Das Schöne an dieser symmetrischen Situation ist ihre Eigenschaft, daß sie wie bei einem Kreuztausch ohne Zurechtdrehen der letzten Ebene anwendbar ist - es handelt sich um eine Punktsymmetrie.

Trifft man die letzte Schicht um 90° verdreht an, man also nicht die vorgegebene Stellung vor sich hat, funktioniert die Folge dennoch.

   
12.10.2007   10.12.2007
   
     
             
  english discussion about mentioned sequences (back to top) go to the top of the site deutsche Erörterung von Zugfolgen (zurück nach oben)  
Derives Ableitungen
         
CMSm1 TSm1 EMS1UL'U²RU'mUL'U²RU'LU'R'
 
   
First move simply set to the end.

   
Der erste Zug wurde einfach nach hinten versetzt.

   
02/06/2009 go to the top of the site 06.02.2009
       
             

 

 

 

 

 

 

 

 

 

 

 

 

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