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 NW-SO - Kanten gerade tauschen english moving corners diagonal NW-SE - 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
CMD1 EMS1CMD1 EMS11 situationCMD2 EMS1CMD2 EMS11 situation
A0CMD2 EMS1LU'RU²L'UR'U
( L U' R · U'' · L' U R' )² U (15,17) BobBurton PLL19
rashi li ca ri co la ci ra ri ci explanation of sound language - Erklärung der Lautsprache
LU'RU²L'UmU'RU²L'UR'Ustructure
L U' R · U'' · L' U R' · L U' R · U'' · L' U R' U (15,17)
li ca ri co la ci mash ca ri co la ci ra ci ri explanation of sound language - Erklärung der Lautsprache
B0CMD1 EMS2RU'R'UlUFU'R'F'RU'RUl'UR'
R U' · R' U · l U · F U' · R' F' · R U' R U · l' U R' (17) BobBurton PLL19
RU'R'UlUFU'R'F'RU'RUl'UR'Bob Burton's speed sequences 73
(R U') (R' U) (l U) (F U') (R' F') (R U' R U) (l' U R') (17)
equivalent / äquivalentRU'LU²R'Um'U'LU²R'UL'U'
R U' L U² R' U m' U' L U² R' U L' · U' (15,17) Carlos Angosto
RU'R'UlUFU'R'F'RU'RUl'UR'
R U' R' U l U F U' R' F' R U' R U l' U R' (15) StefanPochmann N1-Perm
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A1CMD2 EMS1RU'LU²R'Um'U'LU²R'UL'U
R U' L U² R' U m' U' L U² R' U L' · U (15,17) Carlos Angosto
ri ca li co ra ci mash ca li co ra ci la ci explanation of sound language - Erklärung der Lautsprache
A2R'DB'RD²L'FLD²R²BRD'RJF-system compared by web authors - JF-System-Vergleich über Web-Autoren
R' D B' R D² L' F L D² R² B R D' R (14,17)
A3U'LU'RU²L'UR'LU'RU²L'UR'JFVergleich über Web-Autoren
U' L U' - R U² L' U R' - L U' - R U² L' U R' (15,17)
zR'UR'z'RU'U'L'UR'zUR'z'RU'U'L'UR'
(f) R' U R' - (f') R U'U' L' U R' - (f) U R' (f') R U'U' L' U R'
A4zUR'z'RU'U'L'UR'zUR'z'RU'U'L'UR'UJFVergleich über Web-Autoren
(f) U R'- (f') R U'U' L' U R' - (f) U R' (f') R U'U' L' U R' U (17)
A5R'DB'RD²L'FLD²R''BRD'RJF-system compared by web authors - JF-System-Vergleich über Web-Autoren
R' D B' R D² L' F L D² R' B R D' R (14,17) Loic Fremont
A6zBR'FR²B'RF'BR'FR²B'RF'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
z (B R' F) (R² B' R F') (B R' F) (R² B' R F') (14,16) Peter Jansen
A7RU'LU²R'URL'U'LU²R'UL'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
(R U') (L U²) (R' U R) (L' U' L U²) (R' U) L' (14,16) Peter Jansen
A8LU'RU²L'UmU'RU²L'UR'UJF-system compared by web authors - JF-System-Vergleich über Web-Autoren
L U' R U² L' U R' L U' R U² L' U R' U (15,17) Ron van Bruchem
A9B'UB²L²UB'L²BU'L²B²U'BU'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
B' U B² L² U B' L² B U' L² B² U' B U' (14,19) Ron van Bruchem
A10zUR'DR²U'x'RB'xUR'DR²U'r'Rz'R'UJF-system compared by web authors - JF-System-Vergleich über Web-Autoren
[f] (U R' D) (R² U' [r'] R B') [r] (U R' D) (R² U' r'R) [f'] (R' U) (14,16) Ross Palmer
LU'RU²L'UmU'RU²L'UR'U
L U' R U² L' U R'L U' R U² L' U R' U
A10zR'UR'z'RU²L'UR'zUR'z'RU²L'UR'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
z (R' U R') z' (R U²) (L' U R') z (U R') z' (R U²) (L' U R') (15,17) Dennis Nilsson
B1CMD1 EMS2LU'L'ULFUF'L'U'LF'LFL'UL'
L U' L' U L F U F' L' U' L F' L F L' U L' (17) StefanPochmann N2-Perm
li ca la ci li fi ci fa la ca li fa li fi la ci la explanation of sound language - Erklärung der Lautsprache
B1RU²R'U'RU²L'UR'U'L
( R U² R' U' R U² L' U R' U' L )² (23,27)
( ri co ra ca ri co la ci ra ca li )²explanation of sound language - Erklärung der Lautsprache
B1LdL'ULd'L'U'LdL'U''Ld'L'ULdL'U'Ld'L'U
L d L' · U · L d' L' · U' · L d L' · U''· L d' L' · U · L d L' · U' · L d' L' · U (24,25)
B1RU'Ld²L'UR'LU'Rd²R'UL'U'
R U' L d² L' U R'  ·  LU ' R d² R' U L'  ·  U'
ri ca li do la ci ra li ca ri do ra ci la caexplanation of sound language - Erklärung der Lautsprache
B1LU'Rd²R'UL'RU'Ld²L'UR'U'
L U' R d² R' U L' R U' L d² L' U R'  ·  U'
ri ca li do ra ci la ri ca li do la ci ra caexplanation of sound language - Erklärung der Lautsprache
B6RU'R'UlUFU'R'F'RU'RUl'UR'
R U' R' U l U F U' R' F' R U' R U l' U R' (15,16)
RU'R'UlUFU'R'F'RU'RUl'UR'
(R U') (R' U) l U F U' R' (F' R) U' R(U l') (U R') (15,16)
B7RU'Ld²L'UmU'RU²r'Fl'U'y²JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
R U' L d² L' U L R' U' R U² r' F l' U' (y²) (14,17) Dan Harris
B8LU'RU²L'UR'LU'RU²L'UR'U'JFVergleich über Web-Autoren
L U'- R U² L'U R' - L U'- R U² L'U R'U' (15,17)
zUR'z'RU'U'L'UR'zUR'z'RU'U'L'UR'U'
(f) U R'- (f') R U'U'L'U R'- (f) U R'(f') R U'U'L'U R'U'
B9LU'RU²L'UR'LU'RU²L'UR'U'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
(L U' R) U² (L' U R') (L U' R) U² (L' U R') U' (15,17) Richard Patterson
B10y'zUR'z'RU²L'UR'zUR'z'RU²L'UR'U'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
y' z (U R') z' (R U²) (L' U R') z (U R') z' (R U²) (L' U R' U') (15,17) Dennis Nilsson
B11RU'R'UlUFU'R'F'RU'RUR'FR'JF-system compared by web authors - JF-System-Vergleich über Web-Autoren
(R U' R' U l U) (F U' R' F' R U') (R U R' F R') (12,17) Dennis Nilsson
               
  english discussion about mentioned sequences (back to top)
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deutsche Erörterung von Zugfolgen (zurück nach oben)  
    CMD2 EMS1LU'RU''L'UR'U    
   
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
   
     
             

 

 

 

 

 

 

 

 

 

 

 

 

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