![](I/RJ.png) ![](I/gSPC.png) ![Navigation](O/NAVROSE.png) ![](I/gSPC.png) ![](I/PQ.png) ![](I/gSPC.png) ![Matrix](I/3P_RST.png) ![](I/gSPC.png) ![Patterns - Muster](O/gSNK.png) ![](I/gSPC.png) ![Solution - Lösung](O/gSCRMBL.png) ![](I/gSPC.png) ![solutions for higher cubes and other types - Lösungen für größere Würfel und andere Typen](V/gS00000008.png) ![](I/gSPC.png) ![Links](O/gLNK.png) ![](I/gSPC.png) ![speedcubing - Schnelldrehen](O/gHIST.png) ![](I/gSPC.png) ![diary - Tagebuch](O/gBOOK.png) ![](I/gSPC.png) ![poetry - Poesie](O/gROS.png) ![](I/gSPC.png) ![quicklink speedcubing - Schnellzugriff Schnelldrehen](O/gMEAN.png) ![](I/gSPC.png) ![against righteous - gegen Rechts](K/gScholl_Geschwister.png) ![](I/gSPC.png) ![about me - über mich](O/gME.png) ![](I/gSPC.png) ![mail to Admin - email an den Administrator](I/grainbow_Couvert.png) ![](I/gSPC.png) ![Impressum](O/ginfo.png) ![](I/gSPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/R_passiv_link.png) |
Ecken positiv drehen, alle Kanten wenden - Schnelldreher Folgen twisting corners positive, flipping all edges - speedcuber's sequences |
![](I/gSPC.png) |
![](I/LC.png) ![Corners Moved Straight - Edges Moved Straight 1](cC/01.png) ![Corners Moved Straight - Edges Moved Straight 2](cC/02.png) ![Corners Moved Straight - Edges Moved Diagonal P1](cC/03.png) ![Corners Moved Straight - Edges Moved Diagonal P2](cC/04.png) ![Corners Moved Straight - Edges Moved Diagonal M2](cC/05.png) ![Corners Moved Straight - Edges Moved Diagonal M1](cC/06.png) ![CMD1 EMS1](cC/07.png) ![CMD2 EMS1](cC/08.png) ![Corners Moved Diagonal 2 - Edges Moved Diagonal P1](cC/09.png) ![Corners Moved Diagonal 1 - Edges Moved Diagonal P1](cC/10.png) ![Corners Moved Positive - the long arm is the 'arrowpeak'](cC/11.png) ![Corners Moved Negative - the long arm is the 'arrowpeak'](cC/12.png) ![Corners Moved Parallel](cC/13.png) ![Corners Moved Cross](cC/14.png) ![Edges Moved Positive - the long arm is the 'arrowpeak'](cC/15.png) ![Edges Moved Negative - the long arm is the 'arrowpeak'](cC/16.png) ![Edges Moved Parallel](cC/17.png) ![Edges Moved Cross](cC/18.png) ![G-Permutation - Nose Up](cC/19.png) ![](cC/t.png) ![G-Permutation - Hand Up](cC/20.png) ![](cC/t.png) ![G-Permutation - Hand Down](cC/21.png) ![](cC/t.png) ![G-Permutation - Nose Down](cC/22.png) ![](cC/t.png) ![Edges Flipped Neighbours](cC/37.png) ![](cC/t.png) ![Edges Flipped Opposite](cC/38.png) ![](cC/t.png) ![Edges Flipped All](cC/39.png) ![](cC/t.png) ![Corners Twisted Straight](cC/23.png) ![](cC/t.png) ![Corners Twisted Neighbours](cC/24.png) ![](cC/t.png) ![Corners Twisted Diagonal](cC/25.png) ![](cC/t.png) ![Corners Twisted Positive](cC/activ_26.png) ![](cC/t.png) ![Corners Twisted Negative](cC/27.png) ![](cC/t.png) ![Corners Twisted Regular](cC/28.png) ![](cC/t.png) ![Corners Twisted Irregular](cC/29.png) ![](cC/t.png) ![Corners Moved Straight - Twisted Straight](cC/30.png) ![](cC/t.png) ![Corners Moved Straight - Twisted Neighbours](cC/31.png) ![](cC/t.png) ![Corners Moved Straight - Twisted Diagonal](cC/32.png) ![](cC/t.png) ![Corners Moved Straight - Twisted Positive](cC/33.png) ![](cC/t.png) ![Corners Moved Straight - Twisted Negative](cC/34.png) ![](cC/t.png) ![Corners Moved Straight - Twisted Irregular](cC/35.png) ![](cC/t.png) ![Corners Moved Straight - Twisted Regular](cC/36.png) ![](cC/t.png) ![](cC/40.png) ![](cC/t.png) ![](cC/41.png) ![](cC/t.png) ![](cC/42.png) ![](cC/t.png) ![](cC/43.png) ![](cC/t.png) ![](cC/44.png) ![](cC/t.png) ![](cC/45.png) ![](cC/t.png) ![](cC/46.png) ![](I/RC.png) |
![](I/gSPC.png) |
![](I/g3L.png) ![](I/gSPC.png) ![](I/gNAR_TPNT.png) ![](I/gSPC.png) ![Twisting Corners & Flipping Edges](C/C/EFZ/EFZ.png) ![](I/gSPC151.png) ![Corners Moved Straight](C/g/CMSp1/gCMSp1.png) ![](I/gSPC420.png) ![Corners Moved Diagonal](C/g/CMD1/gCMD1.png) ![](I/gSPC166.png) ![Corners Moved Positive - the long arm is the 'arrowpeak'](C/g/CMTp1/gCMTp1.png) ![](I/gSPC37.png) ![Corners Moved Negative - the long arm is the 'arrowpeak'](C/g/CMTm1/gCMTm1.png) ![](I/gSPC37.png) ![Corners Moved Parallel](C/g/CMP1/gCMP1.png) ![](I/gSPC20.png) ![Corners Moved Cross](C/g/CMC/gCMC.png) ![](I/NAR_gSPC8.png) ![](I/gSPC.png) ![](I/gNAR_TPNT.png) ![](I/gSPC.png) ![Flipping Edges](C/g/EFZ/gEFZ.png) ![](I/gSPC3x2.png) ![Edges Moved Straight](C/g/EMS1/gEMS1.png) ![](I/gSPC20.png) ![Edges Moved Diagonal](C/g/EMDp1/gEMDp1.png) ![](I/gSPC34.png) ![Edges Moved Positive - the long arm is the 'arrowpeak'](C/g/EMTp1/gEMTp1.png) ![](I/gSPC34.png) ![Edges Moved Negative - the long arm is the 'arrowpeak'](C/g/EMTm1/gEMTm1.png) ![](I/gSPC34.png) ![Edges Moved Parallel](C/g/EMP1/gEMP1.png) ![](I/gSPC20.png) ![Edges Moved Cross](C/g/EMC/gEMC.png) ![](I/gSPC4.png) ![](I/PQ.png) ![](I/gSPC.png) ![best browser - Bester Browser](I/IE.png) ![](I/gSPC.png) ![](I/gSITEPRNTR.png) ![](I/gSPC.png) ![color distribution - Farbverteilung](P/SC.png) |
![](I/gSPC.png) |
![from intact cube to intact cube sequences](C/g/EFZ/gEFZ.png) ![](I/gSPC1.png) ![](I/gSPC.png) ![Turning Middlestones](N/g2DEG.png) ![](I/gSPC.png) ![Corners Twisted Straight](C/g/CTSp1/gCTSp1.png) ![](I/gSPC8x3.png) ![Corners Twisted Neighbours](C/g/CTNp1/gCTNp1.png) ![](I/gSPC8x3.png) ![Corners Twisted Diagonal](C/g/CTDp1/gCTDp1.png) ![](I/gSPC8x3.png) ![Corners Twisted Positive](C/C/CTTp1/CTTp1.png) ![](I/gSPC8x3.png) ![Corners Twisted Negative](C/g/CTTm1/gCTTm1.png) ![](I/gSPC8x3.png) ![Corners Twisted Regular](C/g/CTR1/gCTR1.png) ![](I/gSPC6x3.png) ![Corners Twisted Irregular](C/g/CTIp1/gCTIp1.png) ![](I/gSPC8x3.png) ![](I/gSPC.png) ![](I/LC.png) ![Corners Twisted Positive Mixed - webauthors sequences](yyy/y_wCTTp1.png) ![](P/SPC.png) ![](P/TPNT.png) ![](P/SPC.png) ![Corners Twisted Positive - Edges Flipped Neighbours M1 - webauthors sequences](yyy/y_wCTTp1_EFNm1.png) ![Corners Twisted Positive - Edges Flipped Neighbours P1 - webauthors sequences](yyy/y_wCTTp1_EFNp1.png) ![Corners Twisted Positive - Edges Flipped Neighbours M2 - webauthors sequences](yyy/y_wCTTp1_EFNm2.png) ![Corners Twisted Positive - Edges Flipped Neighbours P2 - webauthors sequences](yyy/y_wCTTp1_EFNp2.png) ![](P/SPC.png) ![](P/TPNT.png) ![](P/SPC.png) ![Corners Twisted Positive - Edges Flipped Opposite 1 - webauthors sequences](yyy/y_wCTTp1_EFO1.png) ![Corners Twisted Positive - Edges Flipped Opposite 2 - webauthors sequences](yyy/y_wCTTp1_EFO2.png) ![](P/SPC.png) ![](P/TPNT.png) ![](P/SPC.png) ![Corners Twisted Positive- Edges Flipped All - webauthors sequences](yyy/y_wCTTp1_EFA.png) ![](I/RC.png) ![](I/gSPC.png) ![quicklink speedcubing - Schnellzugriff Schnelldrehen](O/gMEAN.png) |
![](I/gSPC.png) |
![Corners Twisted Positive Clear - edges and corners are fix](C/g00.png) ![](I/gSPC1.png) ![Corners Twisted Positive Mixed - only corners are fix](yyy/C_g0.png) ![](I/gSPC1.png) ![Corners Twisted Positive Mixed - no position is sure](yyy/S_g0.png) ![](I/gSPC1.png) ![Corners Twisted Positive Mixed - webauthors sequences](yyy/y_gCTTp1.png) ![1 situation](I/gSPC1.png) ![](I/gNAR_TPNT.png) ![](I/gSPC.png) ![Edges Flipped Neighbours](C/g/EFNp1/gEFNp1.png) ![](I/gSPC4x3.png) ![Edges Flipped Opposite](C/g/EFO1/gEFO1.png) ![](I/gSPC2x3.png) ![Edges Flipped All](C/C/EFA/EFA.png) ![](I/gSPC1x3.png) ![](I/gNAR_TPNT.png) ![](I/gSPC.png) ![Edges Moved Positive - the long arm is the 'arrowpeak'](C/g/EMTp1/gEMTp1.png) ![](I/gSPC4.png) ![Edges Moved Negative - the long arm is the 'arrowpeak'](C/g/EMTm1/gEMTm1.png) ![](I/gSPC4.png) ![Edges Moved Parallel](C/g/EMP1/gEMP1.png) ![](I/gSPC2.png) ![Edges Moved Cross](C/g/EMC/gEMC.png) ![](I/gSPC.png) ![](I/gSPC.png) ![previous similar twists & flips - vorige ähnliche Drehungen und Wendungen](I/AR_L_A.png) ![Corners Twisted Positive - Edges Flipped Opposite 2 - webauthors sequences](yyy/y_CTTp1_EFO2.png) ![](I/gSPC.png) ![](I/gNAR_TPNT.png) ![](I/gSPC.png) ![Corners Twisted Negative Mixed - webauthors sequences](yyy/y_CTTm1.png) ![next group of similar twists & flips - nächste Gruppe ähnlicher Drehungen und Wendungen](I/AR_R_A.png) ![](I/gSPC.png) ![quicklink speedcubing - Schnellzugriff Schnelldrehen](O/gMEAN.png) |
![](I/gSPC.png) |
![Corners Twisted Positive- Edges Flipped All - edges and corners are fix](yyy/Z_gCTTp1_EFA.png) ![](I/gSPC1.png) ![Corners Twisted Positive- Edges Flipped All - only corners are fix](yyy/C_gCTTp1_EFA.png) ![](I/gSPC1.png) ![Corners Twisted Positive- Edges Flipped All - no position is sure](yyy/S_gCTTp1_EFA.png) ![](I/gSPC1_S00.png) ![Corners Twisted Positive- Edges Flipped All - webauthors sequences](yyy/y_CTTp1_EFA.png) ![1 situation](I/gSPC1.png) ![](I/gPRNTR.png) ![](I/gMIRR.png) |
![](I/gSPC.png) |
![CTTp1 EFA](yyy/y_CTTp1_EFA.png) ![](I/gSPC.png) ![CTTp2 EFA](yyy/y_CTTp2_EFA.png) ![](I/gSPC.png) ![CTTp3 EFA](yyy/y_CTTp3_EFA.png) ![](I/gSPC.png) ![CTTp4 EFA](yyy/y_CTTp4_EFA.png) |
![](I/gSPC.png) |
![A](P/nA.png) ![1](P/n1DWN.png) ![CTTp1 EFA](yyy/y_CTTp1_EFA.png) ![](I/gSPC.png) ![](I/LC.png) ![r'](A/Rr3.png) ![R²](A/R2.png) ![U](A/U.png) ![R'](A/R3.png) ![U](A/U.png) ![r](A/Rr.png) ![U²](A/U2.png) ![r'](A/Rr3.png) ![U](A/U.png) ![M'](A/Sr.png) ![](A/1DWN.png) ![](A/0DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/3dat.png) ![](P/Pdat.png) ![](P/8dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/LV.png) ![](P/Rdat.png) |
r' R² U R' U r U² r' U R' r (10,13) |
![](I/gSPC.png) ![](I/LC.png) ![r'](A/Rr3.png) ![R²](A/R2.png) ![](A/PRL.png) ![U](A/U.png) ![R'](A/R3.png) ![U](A/U.png) ![](A/PRR.png) ![r](A/Rr.png) ![U²](A/U2.png) ![](A/PRL.png) ![r'](A/Rr3.png) ![U](A/U.png) ![R'](A/R3.png) ![](A/PRR.png) ![r](A/Rr.png) ![](A/1DWN.png) ![](A/0DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![Bob Burton's speed sequences 38](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/3dat.png) ![](P/Pdat.png) ![](P/8dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/LV.png) ![](P/Rdat.png) |
r' R² (U R' U) r U² (r' U R') r (10,13) |
![A](P/nA.png) ![2](P/n2DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![](A/col_gray/col_grayPRL.png) ![y](A/col_gray/col_grayCu.png) ![](A/col_gray/col_grayPRR.png) ![r'](A/Rr3.png) ![R²](A/R2.png) ![U](A/U.png) ![R'](A/R3.png) ![U](A/U.png) ![r](A/Rr.png) ![U²](A/U2.png) ![r'](A/Rr3.png) ![U](A/U.png) ![R'](A/R3.png) ![r](A/Rr.png) ![](A/9DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/2DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/3dat.png) ![](P/Pdat.png) ![](P/9dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/DH.png) ![](P/Rdat.png) |
(y') r' R² U R' U r U² r' U R' r (9,12) Dan Harris |
![A](P/nA.png) ![3](P/n3DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![L'](A/L3.png) ![](A/MIN.png) ![R²](A/R2.png) ![B](A/B.png) ![R'](A/R3.png) ![B](A/B.png) ![L](A/L.png) ![](A/MIN.png) ![U²](A/U2.png) ![L'](A/L3.png) ![](A/MIN.png) ![B](A/B.png) ![m](A/Ls.png) ![](A/9DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![JFVergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/7dat.png) ![](P/Pdat.png) ![](P/9dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/KK.png) ![](P/Rdat.png) |
L'-R² B R' B L - U² L' - B R'L (9,13) |
![A](P/nA.png) ![4](P/n4DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![](A/PRL.png) ![L'](A/L3.png) ![](A/PRL.png) ![l](A/Ll.png) ![](A/PRR.png) ![U](A/U.png) ![](A/PRL.png) ![l'](A/Ll3.png) ![](A/PRR.png) ![U²](A/U2.png) ![](A/PRL.png) ![l](A/Ll.png) ![](A/PRR.png) ![U](A/U.png) ![](A/PRR.png) ![](A/PRL.png) ![L'](A/L3.png) ![U](A/U.png) ![L²](A/L2.png) ![](A/PRR.png) ![R'](A/R3.png) ![](A/1DWN.png) ![](A/1DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/1dat.png) ![](P/5dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/0dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/PJ.png) ![](P/Rdat.png) |
(L' (L M) U (L' M') U² (L M) U) (L' U L²) R' (11,13) Peter Jansen |
![A](P/nA.png) ![5](P/n5DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![r'](A/Rr3.png) ![R²](A/R2.png) ![U](A/U.png) ![R'](A/R3.png) ![U](A/U.png) ![r](A/Rr.png) ![U²](A/U2.png) ![r'](A/Rr3.png) ![U](A/U.png) ![M'](A/M3.png) ![](A/1DWN.png) ![](A/0DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/1dat.png) ![](P/8dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/0dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/JvN.png) ![](P/Rdat.png) |
r' R² U R' U r U² r' U M' (10,13) Peter Jansen |
![A](P/nA.png) ![6](P/n6DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![r'](A/Rr3.png) ![R²](A/R2.png) ![](A/PRL.png) ![U](A/U.png) ![R'](A/R3.png) ![U](A/U.png) ![](A/PRR.png) ![r](A/Rr.png) ![U²](A/U2.png) ![](A/PRL.png) ![r'](A/Rr3.png) ![U](A/U.png) ![R'](A/R3.png) ![](A/PRR.png) ![r](A/Rr.png) ![](A/1DWN.png) ![](A/1DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/1dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/DN.png) ![](P/Rdat.png) |
r' R² (U R' U) r U² (r' U R') r (11,13) Dennis Nilsson |
![](I/gSPC.png) |
![](I/gSPC.png) ![go to the top of the site](I/gHDODE.png) |
![](I/gSPC.png) |
![B](P/nB.png) ![1](P/n1DWN.png) ![](I/gSPC.png) ![CTTp2 EFA](yyy/y_CTTp2_EFA.png) ![](I/gSPC.png) ![](I/LC.png) ![F](A/F.png) ![U](A/U.png) ![R](A/R.png) ![U'](A/U3.png) ![R'](A/R3.png) ![F'](A/F3.png) ![R](A/R.png) ![B](A/B.png) ![U](A/U.png) ![B'](A/B3.png) ![U'](A/U3.png) ![R'](A/R3.png) ![](A/1DWN.png) ![](A/2DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/2DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/7dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/0dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/RvB.png) ![](P/Rdat.png) |
F U R U' R' F' R B U B' U' R' (12,12) Ron van Bruchem |
![B](P/nB.png) ![2](P/n2DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![L](A/L.png) ![U²](A/U2.png) ![L](A/L.png) ![F'](A/F3.png) ![L'](A/L3.png) ![F](A/F.png) ![U](A/U.png) ![F](A/F.png) ![U](A/U.png) ![F'](A/F3.png) ![U](A/U.png) ![L'](A/L3.png) ![](A/1DWN.png) ![](A/2DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/1dat.png) ![](P/7dat.png) ![](P/Pdat.png) ![](P/9dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/CH.png) ![](P/Rdat.png) |
L U² L F' L' F U F U F' U L' (12,13) Chris Hardwick |
![](I/gSPC.png) ![](I/LC.png) ![L](A/L.png) ![U²](A/U2.png) ![L](A/L.png) ![y'](A/Cd.png) ![](A/PRL.png) ![R'](A/R3.png) ![F'](A/F3.png) ![R](A/R.png) ![](A/PRR.png) ![](A/PRL.png) ![U](A/U.png) ![](A/PRR.png) ![](A/PRL.png) ![R](A/R.png) ![U](A/U.png) ![R'](A/R3.png) ![U](A/U.png) ![](A/PRR.png) ![y](A/Cu.png) ![L'](A/L3.png) ![](A/1DWN.png) ![](A/2DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![](I/RC.png) |
L U² L y' (R' F' R) (U) (R U R' U) y L' (12,13) |
![B](P/nB.png) ![3](P/n3DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![](A/PRL.png) ![L](A/L.png) ![U²](A/U2.png) ![](A/PRR.png) ![x](A/x.png) ![](A/PRL.png) ![L](A/L.png) ![U'](A/U3.png) ![L'](A/L3.png) ![U](A/U.png) ![](A/PRR.png) ![y'](A/y3.png) ![](A/PRL.png) ![L](A/L.png) ![U](A/U.png) ![](A/PRR.png) ![](A/PRL.png) ![L](A/L.png) ![U'](A/U3.png) ![](A/PRR.png) ![](A/PRL.png) ![L](A/L.png) ![F'](A/F3.png) ![](A/PRR.png) ![](A/1DWN.png) ![](A/2DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/1dat.png) ![](P/5dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/0dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/PJ.png) ![](P/Rdat.png) |
(L U²) x (L U' L' U) y' (L U) (L U') (L F') (12,13) Peter Jansen |
![B](P/nB.png) ![4](P/n4DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![](A/PRL.png) ![L](A/L.png) ![U''](A/U4.png) ![](A/PRR.png) ![x](A/x.png) ![](A/PRL.png) ![L](A/L.png) ![U'](A/U3.png) ![L'](A/L3.png) ![U](A/U.png) ![](A/PRR.png) ![y'](A/y3.png) ![](A/PRL.png) ![L](A/L.png) ![U](A/U.png) ![](A/PRR.png) ![](A/PRL.png) ![L](A/L.png) ![U'](A/U3.png) ![](A/PRR.png) ![](A/PRL.png) ![L](A/L.png) ![F'](A/F3.png) ![](A/PRR.png) ![](A/1DWN.png) ![](A/2DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/1dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/DN.png) ![](P/Rdat.png) |
(L U²') x (L U' L' U) y' (L U) (L U') (L F') (12,13) Dennis Nilsson |
![](I/gSPC.png) |
![](I/gSPC.png) ![go to the top of the site](I/gHDODE.png) |
![](I/gSPC.png) |
![C](P/nC.png) ![1](P/n1DWN.png) ![](I/gSPC.png) ![CTTp3 EFA](yyy/y_CTTp3_EFA.png) ![](I/gSPC.png) ![](I/LC.png) ![y](A/col_gray/col_grayy.png) ![m](A/Ls.png) ![F](A/F.png) ![L'](A/L3.png) ![U²](A/U2.png) ![L](A/L.png) ![F](A/F.png) ![R'](A/R3.png) ![F](A/F.png) ![L'R²](A/L3R2.png) ![](A/1DWN.png) ![](A/1DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/7dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/0dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/RvB.png) ![](P/Rdat.png) |
y R' L F L' U² L F R' F R² L' (11,13) Ron van Bruchem |
![C](P/nC.png) ![2](P/n2DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![R'](A/R3.png) ![r](A/Rr.png) ![U](A/U.png) ![r'](A/Rr3.png) ![U²](A/U2.png) ![r](A/Rr.png) ![U](A/U.png) ![R'](A/R3.png) ![U](A/U.png) ![R²](A/R2.png) ![r'](A/Rr3.png) ![](A/1DWN.png) ![](A/1DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/1dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/DN.png) ![](P/Rdat.png) |
R' r U r' U² r U R' U R² r' (11,13) Dennis Nilsson |
![C](P/nC.png) ![3](P/n3DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![R'](A/R3.png) ![](A/PRL.png) ![r](A/Rr.png) ![](A/PRR.png) ![U](A/U.png) ![](A/PRL.png) ![r'](A/Rr3.png) ![](A/PRR.png) ![U²](A/U2.png) ![](A/PRL.png) ![r](A/Rr.png) ![](A/PRR.png) ![U](A/U.png) ![](A/PRL.png) ![R'](A/R3.png) ![U](A/U.png) ![R²](A/R2.png) ![](A/PRR.png) ![L'](A/L3.png) ![](A/1DWN.png) ![](A/1DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/1dat.png) ![](P/5dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/0dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/PJ.png) ![](P/Rdat.png) |
R' (R M') U (R' M) U² (R M') U (R' U R²) L' (11,13) Peter Jansen |
R' Rw U R'w U² R'w U (R' U R²) L' (11,13) Peter Jansen |
![C](P/nC.png) ![4](P/n4DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![](A/PRL.png) ![M'](A/M3.png) ![U](A/U.png) ![](A/PRL.png) ![r'](A/Rr3.png) ![](A/PRR.png) ![U²](A/U2.png) ![](A/PRL.png) ![r](A/Rr.png) ![](A/PRR.png) ![U](A/U.png) ![R'](A/R3.png) ![U](A/U.png) ![R²](A/R2.png) ![](A/PRL.png) ![r'](A/Rr3.png) ![](A/PRR.png) ![](A/1DWN.png) ![](A/0DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/2DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/1dat.png) ![](P/5dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/0dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/PJ.png) ![](P/Rdat.png) |
(M' U (R' M) U² (R M') U R' U R² (R M) (10,12) Peter Jansen |
(M' U (R'w) U² (Rw) U R' U R² (Rw) |
![C](P/nC.png) ![5](P/n5DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![m](A/R3s.png) ![F](A/F1.png) ![L'](A/L3.png) ![U²](A/U2.png) ![L](A/L1.png) ![F](A/F1.png) ![R'](A/R3.png) ![F](A/F1.png) ![R''L'](A/R2L3.png) ![](A/1DWN.png) ![](A/0DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/1dat.png) ![](P/9dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/0dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) |
M' F L' U² L F R' F R''L' (10,13) |
![](I/gSPC.png) ![](I/LC.png) ![Sr](A/Sr.png) ![U](A/U.png) ![r'](A/Rr3.png) ![U²](A/U2.png) ![r](A/Rr.png) ![U](A/U.png) ![R'](A/R3.png) ![U](A/U.png) ![r'](A/Rr3.png) ![R²](A/R2.png) ![](P/SPC.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/1dat.png) ![](P/9dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/0dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) |
M' U R'w U Rw U R' U R'w R² |
![](I/gSPC.png) |
![](I/gSPC.png) ![go to the top of the site](I/gHDODE.png) |
![](I/gSPC.png) |
![D](P/nD.png) ![1](P/n1DWN.png) ![CTTp4 EFA](yyy/y_CTTp4_EFA.png) ![](I/gSPC.png) ![](I/LC.png) ![f](A/Ff1.png) ![](P/TPNT.png) ![R](A/col_r/col_rR1.png) ![U](A/col_r/col_rU1.png) ![R'](A/col_r/col_rR3.png) ![U'](A/col_r/col_rU3.png) ![](P/TPNT.png) ![f'](A/Ff3.png) ![](A/TPNT.png) ![U'](A/U3.png) ![](A/TPNT.png) ![F](A/F1.png) ![](P/TPNT.png) ![R](A/col_r/col_rR1.png) ![U](A/col_r/col_rU1.png) ![R'](A/col_r/col_rR3.png) ![U'](A/col_r/col_rU3.png) ![](P/TPNT.png) ![F'](A/F3.png) ![](A/TPNT.png) ![U'](A/U3.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![](I/SMLHPY.png) ![](P/lI.png) ![](P/lN.png) ![](P/lF.png) ![](P/lO.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/1dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/7dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/BB.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](P/gO.png) ![](P/gL.png) ![](P/gL.png) ![](P/SPC.png) ![](P/c1.png) ![](P/c1.png) ![](P/Rdat.png) |
f · R U R' U' · f' U' F · R U R' U' · F' (13) BobBurton OLL 11 |
![](I/gSPC.png) ![](I/LC.png) ![f](A/Ff.png) ![](A/PRL.png) ![R](A/R.png) ![U](A/U.png) ![R'](A/R3.png) ![U'](A/U3.png) ![](A/PRR.png) ![f'](A/Ff3.png) ![U'](A/U3.png) ![F](A/F.png) ![](A/PRL.png) ![R](A/R.png) ![U](A/U.png) ![R'](A/R3.png) ![U'](A/U3.png) ![](A/PRR.png) ![F'](A/F3.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/8dat.png) ![](P/Pdat.png) ![](P/8dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/BB.png) ![](P/Rdat.png) |
f (R U R' U') f' U' F (R U R' U') F' (13) |
![D](P/nD.png) ![2](P/n2DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![](A/PRL.png) ![R](A/R.png) ![U²](A/U2.png) ![](A/PRR.png) ![Cl](A/Cl.png) ![](A/PRL.png) ![R](A/R.png) ![U'](A/U3.png) ![R'](A/R3.png) ![](A/PRL.png) ![d](A/Dd.png) ![](A/PRR.png) ![](A/PRR.png) ![](A/PRL.png) ![R](A/R.png) ![U](A/U.png) ![](A/PRR.png) ![](A/PRL.png) ![](A/PRL.png) ![R](A/R.png) ![U'](A/U3.png) ![R](A/R.png) ![](A/PRR.png) ![B'](A/B3.png) ![](A/PRR.png) ![](A/1DWN.png) ![](A/2DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/1dat.png) ![](P/5dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/0dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/PJ.png) ![](P/Rdat.png) |
(R U²) x' (R U' R' (D E)) (R U) ((R U' R) B') (12,13) Peter Jansen |
![D](P/nD.png) ![3](P/n3DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![f](A/Ff.png) ![R](A/R.png) ![U](A/U.png) ![R'](A/R3.png) ![U'](A/U3.png) ![f'](A/Ff3.png) ![](A/MIN.png) ![U'](A/U3.png) ![](A/MIN.png) ![F](A/F.png) ![R](A/R.png) ![U](A/U.png) ![R'](A/R3.png) ![U'](A/U3.png) ![F'](A/F3.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/7dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/0dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/SM.png) ![](P/Rdat.png) |
Fw R U R' U' Fw' - U' - F R U R' U' F' (13) Shotaro Macky Makisumi |
![D](P/nD.png) ![4](P/n4DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![f](A/Ff.png) ![](A/PRL.png) ![R](A/R.png) ![U](A/U.png) ![R'](A/R3.png) ![U'](A/U3.png) ![](A/PRR.png) ![f'](A/Ff3.png) ![U'](A/U3.png) ![F](A/F.png) ![](A/PRL.png) ![R](A/R.png) ![U](A/U.png) ![R'](A/R3.png) ![U'](A/U3.png) ![](A/PRR.png) ![F'](A/F3.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/1dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/DN.png) ![](P/Rdat.png) |
f (R U R' U') f' U' F (R U R' U') F' (13) Dennis Nilsson |
![D](P/nD.png) ![5](P/n5DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![f](A/Ff.png) ![](A/TPNT.png) ![R](A/R.png) ![U](A/U.png) ![R'](A/R3.png) ![U'](A/U3.png) ![](A/TPNT.png) ![f'](A/Ff3.png) ![U'](A/U3.png) ![F](A/F.png) ![](A/TPNT.png) ![R](A/R.png) ![U](A/U.png) ![R'](A/R3.png) ![U'](A/U3.png) ![](A/TPNT.png) ![F'](A/F3.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/8dat.png) ![](P/Pdat.png) ![](P/8dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/BB.png) ![](P/Rdat.png) |
Fw · RU R' U' · F'w U' F · R U R' U' · F'(13) |
![](I/gSPC.png) ![](I/LC.png) ![f](A/Ff.png) ![](A/PRL.png) ![R](A/R.png) ![U](A/U.png) ![R'](A/R3.png) ![U'](A/U3.png) ![](A/PRR.png) ![f'](A/Ff3.png) ![U'](A/U3.png) ![F](A/F.png) ![](A/PRL.png) ![R](A/R.png) ![U](A/U.png) ![R'](A/R3.png) ![U'](A/U3.png) ![](A/PRR.png) ![F'](A/F3.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/8dat.png) ![](P/Pdat.png) ![](P/8dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/BB.png) ![](P/Rdat.png) |
Fw (R U R' U') F'w U' F (R U R' U') F'(13) |
![D](P/nD.png) ![6](P/n6DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![R](A/R.png) ![U²](A/U2.png) ![R](A/R.png) ![B'](A/B3.png) ![R'](A/R3.png) ![B](A/B.png) ![U](A/U.png) ![B](A/B.png) ![U](A/U.png) ![B'](A/B3.png) ![U](A/U.png) ![R'](A/R3.png) ![](A/1DWN.png) ![](A/2DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/3DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/1dat.png) ![](P/4dat.png) ![](P/Pdat.png) ![](P/9dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/JB.png) ![](P/Rdat.png) |
R U² R B' R' B U B U B' U R' (12,13) |
![D](P/nD.png) ![7](P/n7DWN.png) ![](I/gSPC.png) ![](I/LC.png) ![y²](A/col_gray/col_grayy2.png) ![R](A/R.png) ![B²](A/B2.png) ![L²](A/L2.png) ![D²](A/D2.png) ![R](A/R.png) ![F](A/F.png) ![R'](A/R3.png) ![D²](A/D2.png) ![L²](A/L2.png) ![B²](A/B2.png) ![R'](A/R3.png) ![](A/1DWN.png) ![](A/1DWN.png) ![](A/KOMDWN.png) ![](A/1DWN.png) ![](A/7DWN.png) ![](P/SPC.png) ![JF-system compared by web authors - JF-System-Vergleich über Web-Autoren](I/wR_activ_link.png) ![](I/RC.png) ![](P/Ldat.png) ![](P/2dat.png) ![](P/7dat.png) ![](P/Pdat.png) ![](P/1dat.png) ![](P/0dat.png) ![](P/Pdat.png) ![](P/2dat.png) ![](P/0dat.png) ![](P/0dat.png) ![](P/9dat.png) ![](P/Rdat.png) ![](P/Ldat.png) ![](I/RvB.png) ![](P/Rdat.png) |
y² R B² L² D² R F R' D² L² B² R' (11,17) Ron van Bruchem |
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![](I/gSPC.png) ![go to the top of the site](I/gHDODE.png) |