- vertical slice down = horizontal slice right [ cube left ] cube right ! cube up @ cube down \ central reflection 7rbrrrd identity (B1 F1 D1 F1 B1 T1 D1)^6 2rrruffuuuffflfflllfr\ cube in a cube symmetric 4llr-r=ffrl 6 dot + swaps on all faces 9bfblbrlrb swap one pair of edges and corners (ur dr) (dlf drb) 2ddrruu 4 Line 30b-lrf-- 2 dot, 2 tiny L, 1 sq 4bbrl-rlll 2 Y, 2 line, 2 L 4==--rrff 4 Y, double 2 sq 40b-=fbfl=- 3 cycle of edges in B face 4bbllfbll double edge 3 cycle (uf ub df) (fr br bl) 10=b-bll 6 multi-coloured arm 2bff--rr-b 2 arm multi-coloured, 2 short T, 2 H 6==ffr 1 swap, 1 H, 2 sq 9=rf-lbf--= 2 dot, 2 small diag, 2 small diag multi-coloured 6=ff-lr= 4 horse, 2 short T 9-f=l=r 2 X minus one, 2 dot, 2 X minus one multi-coloured (also 6 cross + 4 dot) 12-flrb- 2 arm, 4 sq 55-f=l=d 2 arm, 2 dot, 2 link 21=bb==f=r 2 arm, 2 sq 12brlllb 2 arm, 2 sq 14=-=-fbb- 4 arm 6rlfblrf 4 arm (uf df) (ul dr) (ub db) (ur dl) (fr fl) (bl br) (ulb drb) (urb dlb) 6==bblrrbb= 4 arm 12f=bfr-lbff 4 arm 2l=-=l 4 arm 12fbrd 4 arm, 2 swap 10fr-rb-=llb 6 double sq 6rffll-r== 1 cross, 4 short T, 1 line 2=r=l--r-lr 2 T, 2 short T, two 1 sq 6ffr--f==f double corner swap 6rr-rb-r dicoloured corner pattern 6flllrb (ulf drb) (ulb drf) 4lfff=-f- edge pattern 9r-=bfl 4 sq, 2 diag minus centre 9-f=b=r nice multi-coloured dot pattern 2rrlrr==l double edge swap 18lddfrbl double edge swap in a face 14--b-fb 2 dot, 2 sq, 2 arm 6ff=f-rf interesting order 2 pattern 5tttbbtl di-coloured order 2 pattern 8=-bf=brr move 3 edges 8fl==f=rrrf move 3 edges in a face 3ffrrfblr 6 edge pattern 4l-lf-==f 6 sq 4=bbll 6 sq 8bfrrff 6 sq (urf ulb dlf) (urb dlb drf) 20-=-=b= edge 3 cycle 40rfdfllffd corner 3 cycle (drf dlb dlf) [3] 2=rlfbrl 2 cross, 2 line, 2 H =bffb= 2 H, 2 dot, 2 line 6l-=fbffr- 2 diag, 4 multi-coloured X 6bllr-lf 2 diag, 2 sq, 2 arm multi-coloured 3frl==b 2 diag, 2 sq, 2 arm multi-coloured 12fl-l-lfrf 2 cross, 2 multi-coloured cross, 2 multi-coloured diag minus centres 6ffr-l=lr 2 cross, 2 line 12-rfl-f=r 2 cross, 4 cross multi-coloured 10==frlf 2 cross, 4 cross multi-coloured 3fb-lr- 2 cross, 4 diag 3fblllrrr 2 cross, 4 diag 2rl==bb 2 cross, 2 fat diag, 2 fat z 2=fb=l-l- 2 cross, 4 fat z 6f=-=frl- 2 cross, 4 diag minus centres 6ff=l=r 2 cross, 4 diag minus centres 10=f-b--r-r= 2 cross, 4 diag minus centres 6=rrbbff 2 X, 2 dot, 2 cross 10rlfff=f 2 X, 2 dot, 2 cross 6ff-rrll 2 X, 2 dot, 2 line 2==-rl 2 X, 2 dot, 2 line 10=fbl==l 2 X, 2 diag, 2 corn 6=rr-f 2 X, 3 H multi-coloured 12rff-lll 2 X, 4 H multi-coloured 4lbbff=r 2 X, 4 H order 2 adjacent 4fttb 2 X, 4 H order 2 adjacent 2bf-rlfb 2 X, 4 H 6=--==- 2 X, 2 H 4---l-lfb 2 X, 2 H 4-=-fb 2 X, 2 H 4bf--rr 2 X, 2 H 4--fb= 2 X, 2 H 2rrbbff- 2 X, 2 H 4bbrlbfbf 2 X, 2 H 2ll-== 2 X, 2 H 9flbfrb 2 X, 2 H, 2 multi-coloured X 3rrttlldd 2 X 12bbll-rl- 2 X 12ttrlrrlrrl 2 X 2lrbffb 2 X, 2 cross, 2 line 2==-r-l 2 X, 2 cross, 2 line 10lbfl=ll 2 X, 2 cross, 2 multi-coloured X 18b-lr- 4 X 9tbfdfb 4 X (FB)(LR) 10bblrb=b 4 X 2ffttbb- 4 X 2r-lfbfb 4 X, 2 H 3lllruuud 6 X order 2 28bbbrr=-ffl 6 X tri-coloured 8=f==bl-=r- 6 X tri-coloured 28=frf=r-bl= 6 X quad-coloured (F, R, D faces 5 coloured) 20flfbl=l-rr 6 X quad-coloured (F, R, D faces 5 coloured) 12-fbrfflbf- 4 H order 2 adjacent, 2 swap 4r---rr-==- 4 sq order 2, 2 H 4l=--= 4 sq order 2, 2 H 4-==lrl 4 sq order 4, 2 H 6-r==bb 1 edge, 1 H, 2 edge 2=l==--=- 2 T, 2 short T, 2 sq 6==-llr 4 T 6lrl-ll== 4 T 42lr=-=l= 4 T 2bllrrbbffb 4 short T 2flrrlf 4 short T 2f--bbllf 4 short T, 2 line 2brrffb 4 short T, 2 line 6l=--ff 2 H 6llff-=- 2 H 3ddffttff 2 H 2ff-==ff 2 H 6-=bb= 2 H 4llbbfrr-- 2 H, 4 Line 2llrrfflrbb 2 H, 4 Line (ul dl) (ur dr) (fr bl) (fl br) (urf ulb) (ulf urb) (drf dlb) (dlf drb) 4r==rrlr 2 H, 2 sq adjacent order 2 4==fff 2 H, 2 sq adjacent order 2 type 2 15bfdttbfl 2 H, 2 flip 6rbb=-- 2 H, 2 flip 6r-ffrrl==- 2 H, 2 swap 4ffr==l 2 H, 2 swap 6r-r=ll 4 H 6r-rr==r= 4 H 6rrll-= 4 H 2-l==r-l-r 4 H 2rl-==lr 4 H 2==--= 4 H 2==- 4 H 6bbrr=-- 4 H type 2 3d=--uuu-- 4 H order 4 6=l-==l 4 H, 2 flip 2=r=-r 4 H, 4 flip 12=f-=- 4 H Order 2 Type 2 2=r-r= 6 H 4-=bf- 6 H 2-=rr= 6 H 6=f=bb=ff 2 dot, 2 arm, 2 corner 14f=f==b 2 dot, 2 arm, 2 corner 12l-==rff 2 edge, 2 H (LR)(DB) 45rbtf 2 flip from tom davis, originally written as 45(RGWY) 18--r-flfb= 2 flip 18lldtrbl 2 flip 18rrtlb 2 flip 18rdblr 2 flip 18-f-bfrl 2 flip 10-f-f= 2 flip 6==r=-ff 2 flip 6bl-=b 2 flip 6l==lff=-l 2 flip 10f=-f= 2 flip (uf, lb) 6ll--=f=f 2 flip (df, ub) 30--lf= 2 flip 6l=-ffl-=-- 2 flip 6=-ffr 2 flip 2-bf=b=f 2 flip (fd, bd) 42lrrtbbbrfr 2 flip 42dfftlb 2 flip 30rdfrrtdd 2 flip (rd, bd) 18tbrltbb 2 flip 8ddrlbbd 2 flip 42lttfr 4 flip + 2 adjacent edge swap (u face process) (uf ur) (ul ub) 12lf-rrbr 4 flip in R face 12b-brl 4 flip in L face 20rl-b-b 4 flip in L face 6fbldt 4 flip in L 6bfuddlr 4 flip in U face 12lbflb=fl 4 flip(ulf)+ (ulb)+ (urb)+ (dlf)+ (dlb)+ (drb)+ [3] 12-brlf 4 flip 2=-l-=l 4 flip 4f- 4 flip 20--flflb-ll 4 flip 12lrb=f 4 flip (uf, rf, ur, ub) 60drfdr 4 flip (fr, br, df, db) 6ftrlb 4 flip 12lrflltftfl 4 flip 18brfdt 4 flip 5tttbtr 4 flip in 30dbffrtl 6 flip 42tfrf 6 flip 30rffd 6 flip 5bfbbflffbd 6 flip 5tttbtr 6 flip 8rlrbfdlrbb 8 flip 2fbrluuud 8 flip 8l=lfb=b-rr 8 flip 24ftftldf 8 flip 8tftdrtt 8 flip 40rrrfdrr 8 flip (uf) (fr) (fl) (br) (df) (dl) (db) (dr) [2] 15b=l--b-l 10 flip 6==f=f- 10 flip 21flf-=b== 10 flip 30dlrbdflbf 10 flip 8lr=blbbb= 10 flip 9fblff=f-rf 12 flip 6tbbbtlfffrrr 12 flip 9rbl=-rbl 12 flip 6rbbrtllf 12 flip 18-r-ffbl = pretty edge pattern (not quite dicoloured) 20fbruud 2 twist in F face (ufl)+ (dfr)- 2rrrfuufffrdd 2 twist in D face opposite (dlf)- (drb)+ 20lbbfbrlbrr 2 twist in U face adjacent (ulb)- (urb)+ 3f---=lb-=r 3 twist in T face 60fbffr 3 twist in a face 60dtttf 3 twist in T face 12rffbf-= 3 twist in a face 12br=fl 3 twist in T face 20--br=frflr 3 twist 12lf-bflr 3 twist 10rlblbrr 3 twist (urf)- (ulf)- (dlb)- 15brfr 3 twist 12lfrbf 3 twist 12dbfttlbdb 3 twist 20bfrdtf 3 twist in T face 8lbbfrlbbfl 4 twist in L face (ulf)- (ulb)+ (dlf)- (dlb)+ 20brl=fbr--l 4 twist in B face 35ur 6 twist (urf)- (ulf)- (ulb)- (urb)- (drf)- (drb)- 21ffrfrr 6 twist (urf)- (ulf)- (urb)- (drf)+ (dlf)+ (drb)+ 10lrlbblrlrf 6 twist (urf)- (ulf)- (urb)- (drf)- (dlf)- (drb)- 30lbrrllr 6 twist (urf)+ (ulf)+ (ulb)+ (drf)+ (dlb)+ (drb)+ 30blrbf 6 twist (urf)- (ulb)- (urb)- (dlf)- (dlb)- (drb)- 6flrffblrff 6 twist (urf)+ (ulb)+ (urb)+ (dlf)+ (dlb)+ (drb)+ 21bffbbrff 6 twist (ulf)- (ulb)+ (urb)- (dlf)- (dlb)+ (drb)+ 15rbfrbf 6 twist (urf)- (ulf)- (ulb)- (dlf)- (dlb)- (drb)- 12rflbflfr 6 twist (urf)- (ulb)- (urb)- (drf)- (dlb)- (drb)- 2uurururrrurrrurrr 6 twist (urf)- (ulf)- (ulb)- (urb)- (drf)- (drb)- 16rltflb 4ftdrbl 6 twist (ulf)+ (ulb)+ (urb)+ (dlf)+ (dlb)+ (drb)+ [3] 4==bblbrr 8 twist 28rl=lf 8 twist 56bfffbffl 8 twist (urf)+ (ulf)+ (ulb)+ (urb)+ (drf)+ (dlf)- (dlb)+ (drb)+ [3] (F2 L' B')56 8 twist (twsearch) 6b-=r-=bbb partial 6 cross 12l--rfb-=ll 6 adjacent edge swap 6lrll==bb 2 adjacent edge swap 3rrtt 2 adjacent edge swap 30b-lrf-- 2 dot, 2 tiny L, 1 sq 42lb-lr 4 dot 42ll=br 4 dot 42fbr=f 4 dot 18=brrbbr 4 dot 18l=rbbf 4 dot 9b--blb 4 dot 6fl-=l-== 4 dot 15rf==rf 4 dot 6l-ffl 4 dot 14rlfrfrlr- 4 dot 2rllr= 4 dot 2bfbf- 4 dot 6=rr== 4 dot 2lr=rl 4 dot 6lff= 4 dot + 2 flip 6rlfrlrr=fb 4 dot + 2 flip 42-rblbfrlb 4 dot + 2 flip 5r-f-rrrf 4 dot + 2 flip 2rr==-rl 4 dot, 2 X 2ll-bffblr 4 dot, 2 X 6-fb--fbbb 4 dot, 2 H 2=l-r= 4 dot, 2 H 3ffll== 4 dot, 2 swap 4-= 6 dot 8=--f- 6 dot 80=b=r=- 6 dot + 6 twist 56brlr-= 6 dot + 8 twist 10lrbff==b 4 cross (TD)(FB) 20flr=lr= 4 cross (TD)(LR) 12lbflb=fl 4 cross (TD)(FB) 12frl=rl 4 cross (TD)(LR) 12fbbfd 4 cross (LR)(FB) 6=fb-llrr 4 cross (TD)(LR) 6=b--f= 4 cross (TD)(LR) 4-bb=ffr- 4 cross (TD)(FB) 44=lfrbrfl 4 cross (TD)(LR) 4llfrr= 4 cross (FB)(LR) 2fbllrr== 4 cross (TD)(LR) 2=fb--= 4 cross (TD)(LR) 4bfrlftd 4 cross (TD)(LR) 20b-=@@- 4 cross 2fbfbtt 4 cross, 2 line 10f-=f=bf 4 cross + 2 flip 20-ll=rfr= 4 cross + 4 flip 3ddd--u-- 4 cross order 4 2--rlrr== 4 cross, 2 X 33rltrbbtllr 4 cross tri-coloured 140flfrf- 5 cross quad-coloured 66rtrfdr 5 cross, 2 di-coloured, 3 tri-coloured 10rf--fl=rl 6 cross (TB)(FB)(LR) 60rllf-r= 6 cross (TF)(LR)(DB) 12llrfr 6 cross (TF)(LR)(DB) 12fbfrb=-= 6 cross (TR)(FB)(LD) 20b-=f=-flb 6 cross (TR)(LD)(FB) 12brrrfbf 6 cross (TL)(FB)(DR) 4lrr=f=l== 6 cross (TB)(FD)(LR) order 2 4b-bfrf 6 cross (TL)(FB)(DR) 20brffb= 6 cross (TL)(FB)(RD) 12lflrffr 6 cross (urf ulf) (ulb drf) (urb dlf) (dlb drb) 20-flf-=rr 6 cross order 2 (all sides tri-coloured) 9rflr-f--r= 6 cross order 2 (all sides tri-coloured) 28ll-b--r-b 6 cross order 2 (all sides tri-coloured) 28fl-=f=r=-r 6 cross order 2 (all sides tri-coloured) 6rbfbbb=b=r 6 cross order 2 (2 crosses di-coloured) 28ldlbr 6 cross order 2 (2 crosses di-coloured) 2ddd--u--ddd--u--ddd--u--@ 6 cross order 3 ((D' 2F2 U 2F2)3 Lv')2 6 cross order 3 (converted to SiGN notation) (F' U' D L)11 6 cross order 3 (twsearch -A2) 6rl--rff=l 6 cross (TL)(FB)(RD) + 2 H 6bbfl-=lf 6 cross + 2 flip 3-brbrb- interesting pattern, worth a closer look 6-rrrlbf 4 diagonals 3lrfb 4 diagonals 6fb[ 4 diagonals 9l=r=bf 4 diagonals 6=rlll-=fb 4 diagonals minus centres 9-=--lrbf 4 diagonals minus centres 6fflrbf 4 diagonals minus centres 6fb-@ 4 diagonals minus centres 6llttbb 4 diagonals minus centres 12=fbl-rbb dicoloured edge pattern 6=-rr=bf- dicoloured 2 di, 2 arm, 2 other 14r==rl= dicoloured (square's group?) 6f--bb 4 corner move (related to 4 opposite edge swap) 6f==fb move 4 corners 6-=fbb move 4 corners 2-dd--d- move 4 corners 6drrff almost di-coloured 45rrlfb di-coloured 2 sides solid 15ldtfdfd 18ftrbltbf 7rtdddlffdt 12dlrflrd 5=b-ff-bff interesting 6lr-l=--rr 6l==rr 4 corner move 6lr-ffbf 2 z, 2 diag, 2 cross 3-bfr-l 2 z, 2 diag, 2 line 6=blrrf=fbb 6-fl==-l-f- 4 edge pattern 10b=bb== 2 dot, 2 arm, 2 sq 18f==lb 12blbr=r= 14=lll--f--l interesting 66=rlbrrfr 6blr=f 2 cross, 2 h, 2 line multi-coloured 9-rbf-rbb== 2 X, multi-coloured on other 4 sides 42rbrrrb===b 6bb-f-b=f 14--b=-rrf= 55fll-rlfl-= 4 dot, 2 cherries multi-coloured 3bb=l= 3 arm, 1 diag, multi-coloured 6lfll=l 30rdltfdf di-coloured pattern 30rblfrldb interesting 2 cross pattern 30fdfrdftfr effects F face