new system for sandwich centers

Rough workings of new centers system for sandwich :3

(step 2)

CASE 0: eh, U center skip. Buy me a doughnut.

CASE 1: 3 cubies solved on U, 1 unsolved

a) unsolved single cubie on F

DO: niklas

b) unsolved single cubie on D

DO: opposite niklas

CASE 2: 2 cubies solved on U, 2 unsolved.

a) unsolved single cubie on F, unsolved single cubie on D

DO:

1. opposite niklas

2. niklas

b) double niklas on F and U

double niklas :)

c) double niklas on F and D

opposite double niklas

d) bars on F and U

bar alg?

e) bars on F and D

u2 f2 u2 f2

f) diagonal on F and U

2 niklas.

g) diagonal on U and D

too lazy to type in

CASE 3: 1 cubie solved on U, 3 unsolved.

a) 1x2 BAR on D, single cubie on F (14)

i) unsolved single cubie on Fdl, solved on Ubl

r2 U D2 l' U' r U2 D2 l' U r U r2

ii) unsolved single cubie on Fur, solved on Ubl

r2 U' r' U' l D2 U2 r' U l D2 U' r2

iii) unsolved single cubie on Fdr, solved on Ubr

l2 U' D2 r U l' U2 D2 r U' l' U' l2

iv) unsolved single cubie on Ful, solved on Ubr

l2 U l U r' D2 U2 l U' r' D2 U l2

b) diagonal on D, single cubie on F (16)

i) unsolved single cubie on Fdl, solved on Ubl, diagonal pointing left.

M' r U' r2 U l D2 r2 U' r2 U r2 D2 U' r2 U

ii) unsolved single cubie on Fdr, solved on Ubr, diagonal pointing right.

M' l' U l2 U' r' D2 l2 U l2 U' l2 D2 U l2 U'

iii) unsolved single cubie on Ful, solved on Ufl, diagonal pointing right.

M' r U r2 U' l D2 r2 U r2 U' r2 D2 U r2 U'

iv) unsolved single cubie on Fur, solved on Ufr, diagonal pointing left.

M' l' U' l2 U r' D2 l2 U' l2 U l2 D2 U' l2 U

c) 1x2 BAR on F, single cubie on D (16)

i) 1x2 BAR on r slice, single cubie on Dbl, solved on Ubl

l2 U r U l2 U' r' U2 r U' l2 U2 l2 U' r' U

ii) 1x2 BAR on l slice, single cubie on Dbr, solved on Ubr

r2 U' l' U' r2 U l U2 l' U r2 U2 r2 U l U'

iii) 1x2 BAR on u slice, single cubie on Dfl, solved on Ufr

U' l' U M' U r2 U D2 r' D2 r U' r2 U' M l

iv) 1x2 BAR on d slice, single cubie on Dbr, solved on Ubl

U' r U M' U l2 U D2 l D2 l' U' l2 U' M r'

d) diagonal on F, single cubie on D

DO:

1. opposite niklas on U and D centers

2. double niklas on U and F centers

e) and f) triple niklas on U and D OR U and F

triple niklas'? :3

CASE 4: U center NOT SOLVED OHNOES

a) triple niklas on F and U, single cubie swap on U and D (18)

i) "arrow" on F pointing to bottom right, single cubie on Dfr

r U' l' U2 l U' r' U2 r2 U' l' U r' U l U' r' U2

ii) "arrow" on F pointing to bottom left, single cubie on Dfr

U2 r U l' U' r U' l U r2 U2 r U l' U2 l U r'

iii) "arrow" on F pointing to top right, single cubie on Dbr

r U l' U2 l U r' U2 r2 U l' U' r' U' l U r' U2

iv) "arrow" on F pointing to top left, single cubie on Dbr

U2 r U' l' U r U l U' r2 U2 r U' l' U2 l U' r'

b) triple niklas on F and D, single cubie swap on U and F (11)

i) arrow pointing to top right, single cubie on Fdr

M' U D2 r' U l' D2 U l U l

ii) arrow pointing top right, single cubie on Fdl

l' U l' U D2 l U r D2 U M

iii) arrow pointing bottom right, single cubie on Ful

l' U' l' U' D2 l U' r D2 U' M

iv) arrow pointing bottom right, single cubie on Fur

M' U' D2 r' U' l' D2 U' l U' l

c) diagonal on F, diagonal on D (15)

i) slash to bottom right on F and D

r2 U D2 r' U M2 r U' l U r D2 U M U

ii) slash to bottom left on F and D

r2 U' D2 r' U' M2 r U l U' r D2 U' M U'

d) diagonal on F, 1x2 BAR on D (17)

i) slash to bottom left on F

M' l' U' l U' D2 l U' r U' D2 r' U' l2 U M2 r

ii) slash to bottom right on F

M' r U r' U D2 r' U l' U D2 l U r2 U' M2 l'

e) 1x2 bar on F, diagonal on D (17)

i) 1x2 bar on r slice, slash to bottom right on D

U l2 U' r U r' M2 D2 U r' U l' D2 U M

ii)1x2 bar on l slice, slash to bottom left on D

U' r2 U l' U' l M2 D2 U' l U' r D2 U' M

iii)1x2 bar on d slice, slash to bottom right on D

M' U D2 r' U l' U D2 M2 l' U l U' r2 U

iv)1x2 bar on u slice, slash to bottom on D

M' U' D2 r' U' l' U' D2 l r2 U' l U r2 U'

f) 1x2 bar on F, 1x2 bar on D (14.5)

i) 1x2 bar on u slice, bar on f slice

M' U D2 r' U l' U' r U2 l2 U' r D2 U' r2 U'

ii) 1x2 bar on d slice, bar on b slice

M' U' D2 r' U' l' U r U2 l2 U r D2 U r2 U

iii) 1x2 bar on r slice, bar on r slice

r U2 r2 U2 r U2 r2 U2 r2 U2 r' U2 r

iv) 1x2 bar on l slice, bar on l slice

l' U2 l2 U2 l' U2 l2 U2 l2 U2 l U2 l'

g) entire F and U center swap

r U2 r U2 M2 U2 M' U2 M2 U2 l' U2 r'

h) entire F and D center swap

S2 r2 S2 r2

Prerequisite to this system

All cases for 1 look last 2 centers.

Adjacent:

a) niklas

pretty trivial to do from all 4 angles. only U needed to set up.

b) 1x2 bar on both F and U

y' l' E l U2 l' E' l U2 y

to do from all angles, setup first on F, then on U

c) diagonal on both F and U

do 2 niklas as fast as possible. there is no faster way to do this case.

d) double niklas

i) l' U' r U l U2 l' U r' U' l U2

ii)r U l' U' r' U2 r U' l U r' U2

e) triple niklas (aka L cases) X are the centers cubies to swap, O are solved ones. setup to diagram and execute alg.

i)OX top center

XX front center

l' U' r U l U2 l' U r' U2 r U l U' r'

ii)XO

r U l' U' r' U2 r U' l U2 l' U' r' U l

iii)XX

r U' l' U r' U2 r U l U2 l' U r' U' l

iv)XX

l' U r U' l U2 l' U' r' U2 r U' l U r'

f)entire F and U swap

r U2 r U2 M2 U2 M' U2 M2 U2 l' U2 r'

Opposite centers

a) opposite niklas?

easy to do from all angles, only need to setup with <U>

b) opposite double niklas

only need to setup with <U>

i) l2 U r2 U' l2 U2 l2 U' r2 U l2 U2

ii) l2 U' r2 U l2 U2 l2 U r2 U' l2 U2

c) opposite 1x2 bar on both

r2 f2 r2 f2 and other variants, requires only <U> to setup

d) opposite L case

requires <U,D> to setup. with experience and understanding of the alg, only <U> is needed for other angles.

M' u2 M U D2 M' u2 M U' D2

e) opposite diagonals

requires <U,D> to setup. alg by per kristen fredlund

U M' u2 M U' D' M' u2 M D

f) entire centers swap

S2 r2 S2 r2

Do not reproduce, copy, or modify any part of this document without my permission.

Copyleft Nicholas Ho

rachmaninovianandprokofievian@gmail.com