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@kits
Last active November 16, 2019 22:09
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# 4BLD x-center 3-cycle with U pieces
## simple version
### Ubl→Urb→*
Rbu [R': Xr]
Rdb [R2: Xr]
Rfd [R: Xr]
Ruf Xr [l u l', U'] = Xr
Lfu [L': Xl]
Ldf [L2: Xl]
Lbd [L: Xl]
Lub Xl [l u' l', U'] = Xl
Fru [y: Xf] [r' u' r, U'] = Xf
Fdr [y L': Xf]
Fld [y L2: Xf]
Ful [y L: Xf]
Blu [y: Xb] [r' u r, U'] = Xb
Bdl [y R': Xb]
Brd [y R2: Xb]
Bur [y R: Xb]
Drf Xd [U2: [r2 D' r2 D r2, U']] = Xd
Dbr [D': Xd]
Dlb [D2: Xd]
Dfl [D: Xd]
### Ubl→Ulf→*
Rbu [R': Yr]
Rdb [R2: Yr]
Rfd [R: Yr]
Ruf Yr [l u l', U] = Yr
Lfu [L': Yl]
Ldf [L2: Yl]
Lbd [L: Yl]
Lub Yl [l u' l', U] = Yl
Fru [y: Yf] [r' u' r, U] = Yf
Fdr [y L': Yf]
Fld [y L2: Yf]
Ful [y L: Yf]
Blu [y: Yb] [r' u r, U] = Yb
Bdl [y R': Yb]
Brd [y R2: Yb]
Bur [y R: Yb]
Drf Yd [U2: [r2 D' r2 D r2, U]] = Yd
Dbr [D': Yd]
Dlb [D2: Yd]
Dfl [D: Yd]
## pure-commutator version
### Ubl→Urb→*
Rbu [U, r' u r]
Rdb [l' d l, U']
Rfd [U, r d r']
Ruf [l u l', U']
Lfu [U, r' u' r]
Ldf [l' d' l, U']
Lbd [U, r d' r']
Lub [l u' l', U']
Fru [y: [r' u' r, U']]
Fdr [y: [U, r' d r]]
Fld [y: [r d' r', U']]
Ful [y: [U', r u r']]
Blu [y: [r' u r, U']]
Bdl [y: [U, r' d' r]]
Brd [y: [r d r', U']]
Bur [y: [U, r u' r']]
Drf [U2: [r2 D' r2 D r2, U']] = X
Dbr [D': X]
Dlb [D2: X]
Dfl [D: X]
### Ubl→Ulf→*
Rbu [U', l' u' l]
Rdb [l' d l, U]
Rfd [U', l d' l']
Ruf [l u l', U]
Lfu [U', l' u l]
Ldf [l' d' l, U]
Lbd [U', l d l']
Lub [l u' l', U]
Fru [y: [r' u' r, U]]
Fdr [y: [U', l' d' l]]
Fld [y: [r d' r', U]]
Ful [y: [U', l u' l']]
Blu [y: [r' u r, U]]
Bdl [y: [U', l' d l]]
Brd [y: [r d r', U]]
Bur [y: [U', l u l']]
Drf [U2: [r2 D' r2 D r2, U]] = Y
Dbr [D': Y]
Dlb [D2: Y]
Dfl [D: Y]
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