{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 256 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 " " 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 } 1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE " " -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 40 " " }{TEXT 256 26 "Skewb \+ example worksheet #1" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 14 "skewb1.mws,wdj" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "read( `e:/maplestuff/games/skewb/skewb.mpl`);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#A0G-%'matrixG6#7(7'\"\"\"F*F*F*F*7'\"\"#F,F,F,F,7'\"\"$F.F.F. F.7'\"\"%F0F0F0F07'\"\"&F2F2F2F27'\"\"'F4F4F4F4" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "help_skewb();" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%WMoves~are~generated~by~FRU,FLU,BRU,BLU,BDR ,BDL,DFR,DFLG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%entype~\"rs(1,A0);\" ~to~see~the~solved~skewb~and,~for~example,G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%V\"rs([FRU,FRU,BRU],A0);\"~to~see~the~move~FRU^(-1)*BR U.G" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 212 "bspin:=[FRU,FLU,FRU ,FLU,FRU,FLU,FRU,FLU,FRU,FLU,FRU,FLU,BDL,BDR,BDL,BDR,BDL,BDR,DFR,DFL,D FR,DFL,DFR,DFL];\nbspin2:=[FLU,BLU,FLU,BLU,FLU,BLU,FLU,BLU,FLU,BLU,FLU ,BLU,BDR,DFR,BDR,DFR,BDR,DFR,DFL,BDL,DFL,BDL,DFL,BDL];" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&bspinG7:7&7%\"\"'\"#;\"#@7%\"\"(\"#=\"#D7%\"#5 \"#<\"#C7%\"\")\"#>\"#A7&7%\"\"\"F)F(7%\"\"#F5F07%\"\"&F-\"\"*7%\"\"$ \"#?F,F&F7F&F7F&F7F&F7F&F77&7%F9\"#6\"#E7%F@\"#8\"#F7%\"\"%\"#9\"#G7%F =\"#:\"#H7&7%FEFDF*7%FOFG\"#B7%FH\"#7F67%\"#IFKF2FBFPFBFP7&7%FDF(F*7%F .FGF>7%FSFNF,7%F2FUF47&7%F(FDF97%F>FNF@7%F0FUFJ7%F4FKF;FXFgnFXFgn" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%'bspin2G7:7&7%\"\"\"\"#;\"\"'7%\"\"# \"#>\"#57%\"\"&\"#=\"\"*7%\"\"$\"#?\"\"(7&7%\"#EF)F(7%\"#FF5F07%\"#G\" # " 0 "" {MPLTEXT 1 0 30 "rs([op(bspin),op (bspin2)],A0);" }}{PARA 13 "" 1 "" {GLPLOT3D 400 300 300 {PLOTDATA 3 " 6@-%)POLYGONSG6%7&7%$\"\"$\"\"!F*F(7%F(F(F*7%F(F*$!\"$F*7%F(F-F*-%'COL OURG6&%$RGBG$\"*++++\"!\")F*F*-%&STYLEG6#%&PATCHG-F$6%7%F+7%F(F(F-F,F0 F7-F$6%7%F'7%F(F(F(F+F0F7-F$6%7%7%F(F-F(F'F/F0F7-F$6%7%F/F,7%F(F-F--F1 6&F3$\")1Zw\"*F6$\")PJ%y'F6FMF7-F$6%7&7%F-F*F(7%F-F(F*7%F-F*F-7%F-F-F* -F16&F3F*F*F4F7-F$6%7%FU7%F-F(F-FV-F16&F3F*F4F*F7-F$6%7%FT7%F-F(F(FUFX F7-F$6%7%7%F-F-F(FTFWFXF7-F$6%7%FWFV7%F-F-F-FXF7-F$6%7&7%F*F-F(F/7%F*F -F-FW-F16&F3F4F4F*F7-F$6%7%F/FJFjoF0F7-F$6%7%FioFFF/F[pF7-F$6%7%FaoFio FWF[pF7-F$6%7%FWFjoFeoF[pF7-F$6%7&7%F*F(F(F+7%F*F(F-FUFhnF7-F$6%7%F+F> F]qFhnF7-F$6%7%F\\qFBF+FhnF7-F$6%7%F]oF\\qFUFhnF7-F$6%7%FUF]qFgnFKF7-F $6%7&F\\qF'FioFT-F16&F3F4$\")AR!)\\F6F*F7-F$6%7%F'FFFioF]rF7-F$6%7%F\\ qFBF'F]rF7-F$6%7%F]oF\\qFTF]rF7-F$6%7%FTFioFaoF]rF7-F$6%7&F]qF,FjoFVFK F7-F$6%7%F,FJFjoF[pF7-F$6%7%F]qF>F,FKF7-F$6%7%FgnF]qFVFXF7-F$6%7%FVFjo FeoFKF7" 1 2 0 1 0 2 1 1 1 2 1.000000 45.000000 45.000000 0 }}}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "rs([FRU,FLU,FRU,FLU,FRU,FLU, FRU,FLU,FRU,FLU,FRU,FLU],A0);\n" }{TEXT -1 63 "(FRU*FLU)^6 twists 6 t he corners clockwise by 120 degrees. The" }}{PARA 0 "" 0 "" {TEXT -1 96 " 2 corners not twisted are those opposite the FRU, FLU corners : the BDR, BDL corners and the" }}{PARA 0 "" 0 "" {TEXT -1 32 " ce nters are all left fixed." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 13 "" 1 "" {GLPLOT3D 385 385 385 {PLOTDATA 3 "6@-%)POLYGONSG6%7&7%$\"\"$ \"\"!F*F(7%F(F(F*7%F(F*$!\"$F*7%F(F-F*-%'COLOURG6&%$RGBG$\"*++++\"!\") F*F*-%&STYLEG6#%&PATCHG-F$6%7%F+7%F(F(F-F,-F16&F3F*F4F*F7-F$6%7%F'7%F( F(F(F+-F16&F3F4$\")AR!)\\F6F*F7-F$6%7%7%F(F-F(F'F/-F16&F3F4F4F*F7-F$6% 7%F/F,7%F(F-F--F16&F3$\")1Zw\"*F6$\")PJ%y'F6FUF7-F$6%7&7%F-F*F(7%F-F(F *7%F-F*F-7%F-F-F*-F16&F3F*F*F4F7-F$6%7%Fgn7%F-F(F-FhnFjnF7-F$6%7%Ffn7% F-F(F(FgnF?F7-F$6%7%7%F-F-F(FfnFinFEF7-F$6%7%FinFhn7%F-F-F-FjnF7-F$6%7 &7%F*F-F(F/7%F*F-F-FinFMF7-F$6%7%F/FRF`pF0F7-F$6%7%F_pFLF/FEF7-F$6%7%F goF_pFinFjnF7-F$6%7%FinF`pF[pFMF7-F$6%7&7%F*F(F(F+7%F*F(F-FgnF?F7-F$6% 7%F+F>FaqFSF7-F$6%7%F`qFDF+F0F7-F$6%7%FcoF`qFgnFEF7-F$6%7%FgnFaqF_oF?F 7-F$6%7&F`qF'F_pFfnFEF7-F$6%7%F'FLF_pF0F7-F$6%7%F`qFDF'F?F7-F$6%7%FcoF `qFfnFjnF7-F$6%7%FfnF_pFgoFMF7-F$6%7&FaqF,F`pFhnFSF7-F$6%7%F,FRF`pFMF7 -F$6%7%FaqF>F,F0F7-F$6%7%F_oFaqFhnFSF7-F$6%7%FhnF`pF[pFSF7" 1 2 0 1 0 2 1 1 1 2 1.000000 58.000000 39.000000 0 }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 82 "rs([FRU,FLU,FRU,FRU,FLU,FLU,FRU,FLU,FRU,FRU,FLU,FLU,F RU,FLU,FRU,FRU,FLU,FLU],A0);\n" }{TEXT -1 177 "[FRU,FLU]^3 ( = the cub e of the commutator) is a product of 2 2-cycles on the center facets. \+ It swaps\nfront/right and up/left - fixing the bottom and back. It fix es all corners." }}{PARA 13 "" 1 "" {GLPLOT3D 385 385 385 {PLOTDATA 3 "6@-%)POLYGONSG6%7&7%$\"\"$\"\"!F*F(7%F(F(F*7%F(F*$!\"$F*7%F(F-F*-%'CO LOURG6&%$RGBGF*$\"*++++\"!\")F*-%&STYLEG6#%&PATCHG-F$6%7%F+7%F(F(F-F,- F16&F3F4F*F*F7-F$6%7%F'7%F(F(F(F+F?F7-F$6%7%7%F(F-F(F'F/F?F7-F$6%7%F/F ,7%F(F-F-F?F7-F$6%7&7%F-F*F(7%F-F(F*7%F-F*F-7%F-F-F*-F16&F3F*F*F4F7-F$ 6%7%FQ7%F-F(F-FRFTF7-F$6%7%FP7%F-F(F(FQFTF7-F$6%7%7%F-F-F(FPFSFTF7-F$6 %7%FSFR7%F-F-F-FTF7-F$6%7&7%F*F-F(F/7%F*F-F-FS-F16&F3F4$\")AR!)\\F6F*F 7-F$6%7%F/FLFdo-F16&F3F4F4F*F7-F$6%7%FcoFHF/F\\pF7-F$6%7%F[oFcoFSF\\pF 7-F$6%7%FSFdoF_oF\\pF7-F$6%7&7%F*F(F(F+7%F*F(F-FQF?F7-F$6%7%F+F>F[qF0F 7-F$6%7%FjpFDF+F0F7-F$6%7%FgnFjpFQF0F7-F$6%7%FQF[qFYF0F7-F$6%7&FjpF'Fc oFPF\\pF7-F$6%7%F'FHFcoFeoF7-F$6%7%FjpFDF'FeoF7-F$6%7%FgnFjpFPFeoF7-F$ 6%7%FPFcoF[oFeoF7-F$6%7&F[qF,FdoFR-F16&F3$\")1Zw\"*F6$\")PJ%y'F6F\\sF7 -F$6%7%F,FLFdoFjrF7-F$6%7%F[qF>F,FjrF7-F$6%7%FYF[qFRFjrF7-F$6%7%FRFdoF _oFjrF7" 1 2 0 1 0 2 1 1 1 2 1.000000 45.000000 45.000000 0 }}}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 112 "fru_blu10:=[FRU,BLU,FRU,BLU ,FRU,BLU,FRU,BLU,FRU,BLU,FRU,BLU,FRU,BLU,FRU,BLU,FRU,BLU,FRU,BLU]:\nrs (fru_blu10,A0);\n" }{TEXT -1 263 "This move, (FRU*BLU)^10, fixes all t he centers and the 2 \"opposite\" corners: DFL, BDR. It twists the 3 c orners\nFLU, BLU, and FRU. On the remaining 3 corners, it acts as the \+ permutation \n \+ (DFR,BRU,BDL) \n" }}{PARA 13 "" 1 "" {GLPLOT3D 385 385 385 {PLOTDATA 3 "6@-%)POLYGONSG6%7&7%$\"\"$\"\"!F*F(7%F(F(F*7%F(F*$!\"$F*7 %F(F-F*-%'COLOURG6&%$RGBG$\"*++++\"!\")F*F*-%&STYLEG6#%&PATCHG-F$6%7%F +7%F(F(F-F,-F16&F3F*F4F*F7-F$6%7%F'7%F(F(F(F+F?F7-F$6%7%7%F(F-F(F'F/-F 16&F3F4$\")AR!)\\F6F*F7-F$6%7%F/F,7%F(F-F-F0F7-F$6%7&7%F-F*F(7%F-F(F*7 %F-F*F-7%F-F-F*-F16&F3F*F*F4F7-F$6%7%FU7%F-F(F-FVFXF7-F$6%7%FT7%F-F(F( FU-F16&F3F4F4F*F7-F$6%7%7%F-F-F(FTFWF\\oF7-F$6%7%FWFV7%F-F-F--F16&F3$ \")1Zw\"*F6$\")PJ%y'F6FhoF7-F$6%7&7%F*F-F(F/7%F*F-F-FWF\\oF7-F$6%7%F/F PF`pF\\oF7-F$6%7%F_pFHF/F0F7-F$6%7%FaoF_pFWFIF7-F$6%7%FWF`pFeoF0F7-F$6 %7&7%F*F(F(F+7%F*F(F-FUF?F7-F$6%7%F+F>FaqFIF7-F$6%7%F`qFDF+FIF7-F$6%7% F[oF`qFUFfoF7-F$6%7%FUFaqFgnF?F7-F$6%7&F`qF'F_pFTFIF7-F$6%7%F'FHF_pF\\ oF7-F$6%7%F`qFDF'F0F7-F$6%7%F[oF`qFTFXF7-F$6%7%FTF_pFaoFXF7-F$6%7&FaqF ,F`pFVFfoF7-F$6%7%F,FPF`pFfoF7-F$6%7%FaqF>F,FXF7-F$6%7%FgnFaqFVFfoF7-F $6%7%FVF`pFeoF?F7" 1 2 0 1 0 2 1 1 1 2 1.000000 45.000000 45.000000 0 }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 156 "topspin:=[FRU,FLU,FRU,F LU,FRU,FLU,FRU,FLU,FRU,FLU,FRU,FLU,\nBDL,BDR,BDL,BDR,BDL,BDR,DFR,DFL,D FR,DFL,DFR,DFL,DFR,DFL,DFR,DFL,DFR,DFL,FRU,FLU,FRU,FLU,FRU,FLU]:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "rs([op(fru_blu10),op(topspin )],A0);" }}{PARA 13 "" 1 "" {GLPLOT3D 385 385 385 {PLOTDATA 3 "6@-%)PO LYGONSG6%7&7%$\"\"$\"\"!F*F(7%F(F(F*7%F(F*$!\"$F*7%F(F-F*-%'COLOURG6&% $RGBG$\"*++++\"!\")F*F*-%&STYLEG6#%&PATCHG-F$6%7%F+7%F(F(F-F,-F16&F3F* F4F*F7-F$6%7%F'7%F(F(F(F+F0F7-F$6%7%7%F(F-F(F'F/F0F7-F$6%7%F/F,7%F(F-F -F0F7-F$6%7&7%F-F*F(7%F-F(F*7%F-F*F-7%F-F-F*-F16&F3F*F*F4F7-F$6%7%FQ7% F-F(F-FRFTF7-F$6%7%FP7%F-F(F(FQFTF7-F$6%7%7%F-F-F(FPFS-F16&F3F4$\")AR! )\\F6F*F7-F$6%7%FSFR7%F-F-F--F16&F3$\")1Zw\"*F6$\")PJ%y'F6FfoF7-F$6%7& 7%F*F-F(F/7%F*F-F-FS-F16&F3F4F4F*F7-F$6%7%F/FLF^pF_pF7-F$6%7%F]pFHF/F_ pF7-F$6%7%F[oF]pFSFTF7-F$6%7%FSF^pFcoF0F7-F$6%7&7%F*F(F(F+7%F*F(F-FQF? F7-F$6%7%F+F>FaqF\\oF7-F$6%7%F`qFDF+F?F7-F$6%7%FgnF`qFQF_pF7-F$6%7%FQF aqFYF?F7-F$6%7&F`qF'F]pFPF\\oF7-F$6%7%F'FHF]pF\\oF7-F$6%7%F`qFDF'F\\oF 7-F$6%7%FgnF`qFPFdoF7-F$6%7%FPF]pF[oF_pF7-F$6%7&FaqF,F^pFRFdoF7-F$6%7% F,FLF^pFdoF7-F$6%7%FaqF>F,FTF7-F$6%7%FYFaqFRFdoF7-F$6%7%FRF^pFcoF?F7" 1 2 0 1 0 2 1 1 1 2 1.000000 45.000000 45.000000 0 }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "rs([op(fru_blu10),op(topspin)],A0);\n" } {TEXT -1 20 "This move is order 3" }}{PARA 13 "" 1 "" {GLPLOT3D 385 385 385 {PLOTDATA 3 "6@-%)POLYGONSG6%7&7%$\"\"$\"\"!F*F(7%F(F(F*7%F(F* $!\"$F*7%F(F-F*-%'COLOURG6&%$RGBG$\"*++++\"!\")F*F*-%&STYLEG6#%&PATCHG -F$6%7%F+7%F(F(F-F,-F16&F3F*F4F*F7-F$6%7%F'7%F(F(F(F+F0F7-F$6%7%7%F(F- F(F'F/F0F7-F$6%7%F/F,7%F(F-F-F0F7-F$6%7&7%F-F*F(7%F-F(F*7%F-F*F-7%F-F- F*-F16&F3F*F*F4F7-F$6%7%FQ7%F-F(F-FRFTF7-F$6%7%FP7%F-F(F(FQFTF7-F$6%7% 7%F-F-F(FPFS-F16&F3F4$\")AR!)\\F6F*F7-F$6%7%FSFR7%F-F-F--F16&F3$\")1Zw \"*F6$\")PJ%y'F6FfoF7-F$6%7&7%F*F-F(F/7%F*F-F-FS-F16&F3F4F4F*F7-F$6%7% F/FLF^pF_pF7-F$6%7%F]pFHF/F_pF7-F$6%7%F[oF]pFSFTF7-F$6%7%FSF^pFcoF0F7- F$6%7&7%F*F(F(F+7%F*F(F-FQF?F7-F$6%7%F+F>FaqF\\oF7-F$6%7%F`qFDF+F?F7-F $6%7%FgnF`qFQF_pF7-F$6%7%FQFaqFYF?F7-F$6%7&F`qF'F]pFPF\\oF7-F$6%7%F'FH F]pF\\oF7-F$6%7%F`qFDF'F\\oF7-F$6%7%FgnF`qFPFdoF7-F$6%7%FPF]pF[oF_pF7- F$6%7&FaqF,F^pFRFdoF7-F$6%7%F,FLF^pFdoF7-F$6%7%FaqF>F,FTF7-F$6%7%FYFaq FRFdoF7-F$6%7%FRF^pFcoF?F7" 1 2 0 1 0 2 1 1 1 2 1.000000 45.000000 45.000000 0 }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK " 0 1 1" 10 }{VIEWOPTS 1 1 0 1 1 1803 }