1L3T

On this page there are algs for all 179 cases of 1L3T (1-look last 3 triples) on the FTO.

Most of the work in generating these algs and curating them was done by Aedan Bryant (original sheet here). Additionally, most of the TCP algs (set T) are from the document maintained by Edd Dibley here. Aside from some minor copyediting and choosing favorites from Aedan's/Edd's sheets, I also selected algs for sets J (odd)/L/Z/S/a couple from T (from algs generated by Aedan).

If you don't like the alg for a case, there's a big list of computer-generated algs for every case, we'd love your help sorting through them. If you find a better alg, let us know on the FTO discord!

Note 2026-08-07: The community has decided on a new naming system for 1L3T! A graphic explaining the system is below. If you prefer the old names, the legacy sheet is still available here, but the algs will not be kept up to date.

click to expand

Notation

These algs start in CIF (corner-in front) notation with yellow on top and blue in front relative to the diagrams. Possible pre-AUFs are in brackets at the start of algs (like [U']).

Flips:

S denotes a sledge (R' L R L')
H denotes a hedge (R B' R' B)
S' denotes an inverse sledge (L R' L' R)
H' denotes an inverse hedge (B' R B R')

Rotations: {F1,F2} means put the current F1 face on top, and current F2 face in front (possibly switching to EIF, edge-in-front, in the process). For example {U,BR} is like a y rotation on 3x3, and {U,L} is like half of a y' rotation that switches to EIF.

O solved	O+ {L,F} R' U R' D' R U' R' D R'	O- {L,F} R D' R U R' D R U' R
Oc {L,F} U' Rs' U' R' U Rs U' R U' {R,F} U' R U Rw' U' R U Rw' U' R U	Oc+ L R' L' R' B' R' B	Oc- {B,U} R U' R' U' {U,BL} R D' R U' R' D R'
Oa {R,F} U R' U' Rw U R' U' Rw U R' U' {L,F} U R' U Rs' U' R U Rs U	Oa+ L R' L' R2 {B,U} U Rw R' U R' U' Rw' R U' L' B L B {B,U} R' D R' U R D' R	Oa- B' R B R L R L'

V {R,D} D' R' U' H S U R D	V+ [U] {B,R} U Rw' L' Rw U' L U Rw' L' Rw U' [U] S U S U S U S	V- [U] {R,L} Rw U' L U Rw' L' Rw U' L U Rw' [U'] S' U' S' U' S' U' S'
Vc [U] BR' Rw S' U' S U Rw' BR [U] S' U S U' S U S'	Vc+ R' U' R' L R L' U R L R' L' B' R B	Vc- [U] B' BLw U S U S U L BLw' [U] S U S U S U H
Va [U'] BR' Rw S' U S U' Rw' BR [U'] S U' S' U S' U' S	Va+ BLw L' U' S' U' S' U' BLw' B [U'] B BRw' U' S' U' S' U' R' BRw H U' H U' H U' S {U,BL} BR' R' U' R U R B' R' B U' R' U R BR	Va- [U'] R U H U' R' B' R B L R' L' L U L R' L' R U' L' R' L R B L' B'

Q [U] {L,F} R U R' U' Rw R' U R U' Rw'	Q+ [U'] {U,BR} H U' S'	Q- [U] {U,BR} S U H'
Qc [U] H' U S' [U] {U,BR} H U S	Qc+ [U'] {B,U} U' R' D R' U R D' R U' R U R'	Qc- [U'] {U,BR} S U' S [U] {U,F} H' U' H'
Qa [U'] {U,BR} S U' H [U'] {U,BL} S' U' H'	Qa+ [U] {U,BL} S' U S' [U] {U,BR} H U H	Qa- [U] {L,U} R U' R' U R' D R' U' R D' R U

Qb [U] {R,U} U' R BR' U R' U' R BR' U R' U' R BR' U R'	Qb+ {B,U} U R BR' R' U' R U BR R' U'	Qb- {R,D} R U R' U Rw BR Rw' U R U' R'
Qr [U] {R,U} U R Rw' U' R U R' Rw U' R'	Qr+ {U,BL} S U S' U S	Qr- S U' L Rw' R L' R' L Rw L'
Ql [U'] {L,U} R U Rw' R U' R' U Rw R' U'	Ql+ [U] {B,BL} U Rw' U' R U R' Rw U' BR U R' U' R	Ql- {U,BR} S' U' S U' S'

W [U] S' U H U' {U,BL} S'	W+ [U] {B,U} BR' R' U' R D R' U R D' BR [U] {BR,U} U' R' U' R D R' U R D' U	W- [U'] {R,U} D R D R' U' R D' R' D' U [U'] {B,BL} F R U R' D' R U' R' D F' [U'] {L,U} BR U R U' BL' U R' U' BL BR'
Wc [U'] {B,U} R U' R' U R U' BR' R' U R U' BR R' U [U'] {B,U} U' R U R' U' R BR' R' U R U' BR R' U [U'] {R,U} U' R U R' U' R BR' U R' U' R BR U R' [U'] {R,U} R U' R' U R U' BR' U R' U' R BR U R'	Wc+ [U'] S U' S' U S	Wc- [U'] Rw' L R L' U' B' R B R' U Rw R' [U] {F,U} R L' R B' R' B U L R' L' R U' L R' [U'] {L,U} R U' BR R' U R U' BR' Rw' R U R' U' Rw R' U [U] {U,BL} S U' S U S U S'
Wa [U] {R,U} R U' R' U R U' BR R' U R U' BR' R' U [U] {L,U} R U' R' U R U' BR U R' U' R BR' U R' [U] {L,U} U' R U R' U' R BR U R' U' R BR' U R' [U] {R,U} U' R U R' U' R BR R' U R U' BR' R' U [U] {R,U} R U' R' U R U' BR R' U R U' BR' R' U	Wa+ [U] {U,BL} Rw B' R' B U S' U' Rs'	Wa- [U] S' U S U' S'

1L3T

Notation

Set O

Even

Odd

Set V

Even

Odd

Set Q

Even

Odd

Set W

Even

Odd

Set J

Even

Odd

Set L

Even

Odd

Set B

Even

Odd

Set T

Even

Odd

Set Z

Even

Odd

Set S

Even

Odd

Set X

Even

Odd

Set Y

Even

Odd

Wb [U'] H' U S U S	Wb+ [U'] {U,BR} BR' R U' S' U R' BR [U'] {R,BR} D' R BR' U R' U' R BR R' D [U] {L,BL} D R' BR U' R' U R BR' R D' [U] {L,F} U Rw' U' Rw R' U R U' Rw' U Rw U'	Wb- [U] {U,BL} BL L' U S U' L BL' [U] {R,U} Rw U' BR R' U R U' BR' U Rw' {L,F} Rw' R BR' Rw' R U R' U' Rw BR Rw R'
Wr [U] {B,U} U' Rw' R' U R D' R U' R' D Rw U [U] {R,U} U' R U R' Rw U BR U' R' U R BR' U' Rw' [U] {L,F} Rw' R U' R' U Rw U BR R' U' R U BR' U' [U] {B,U} R U' R' U Rw U BR R' U' R U BR' U' Rw'	Wr+ {U,BL} Rs' U S' U' L R' L' Rw {U,BL} R Rw' U L R' L' R U' L R' L' Rw [U] {L,BL} U R' U R U Rw' D' U R' U' R D	Wr- [U] {U,BR} S U' S' U' S'
Wl [U] Rs' L R' L' Rw U' Rw' L R L' Rs [U] {L,F} Rw' R U R' U' Rw BR' Rw' U R U' Rw R' {B,U} Rw R' U' R BR' R' U R U' BR U Rw'	Wl+ [U'] {U,BL} S' U S U S	Wl- Rs U' H' U B' R B Rw' Rw R' U' B' R B R' U B' R B Rw'

J [U'] {L,U} R U' BR Rw' R U R' U' Rw BR' R' U [U'] {B,BL} Rw' U R U' R' Rw BR Rw' R U R' U' Rw {F,BL} R' BR' R B' R' B R' L R L' BR R {U,BL} R U B R' L R' L' R B' R U' R'	J+ [U] {B,L} Rw U' Rw' R BR R' Rw U Rw' R BR' H U' S U' S	J- [U] {L,U} R' D' R U' R' D R U [U] {R,BR} U R D R' U' R D' R'
Jc {R,U} Rw' R U' R' D R' U R D' Rw {U,BR} S' U S' U S'	Jc+ [U] {BL,F} B R' U R' L R L' U' B' R [U'] L R' L' R U' R Rw' U' R B' R' B U Rw R'	Jc- {U,BR} S' U' S' U' H' H U' S U' H
Ja [U'] {L,F} Rw D R' U R D' R U' Rw' R' H U' H U' S' S U' H' U' H'	Ja+ [U'] {U,BL} H U S U S H U S U H' S U H' U S' {L,F} U R D R' U' R D' R' BR U R' U' R	Ja- [U] {F,BR} R' B U L R' L' R U' R B'

Jb R' U R B' R B R' L R' L' U' R R' U L R L' R B' R' B R' U' R {F,BL} B' Rw B' R' B R' L R L' R Rw' B	Jb+ [U] {U,BR} S' U H	Jb- [U] {R,U} U' Rs U R U' Rw' U [U'] Rs' U' S' U Rs
Jr [U] S U S'	Jr+ [U] {L,BL} U R' D R U R' D' R U	Jr- [U'] {B,U} U' R BR' U R' U' R BR U R'
Jl [U] {R,BR} L R' U R D' R U' R' D L' [U] {L,U} BR' D' R U' R' D R' U R BR [U] {R,B} U' R' BR Rw' U' R U' Rw BR U {B,L} U Rw U Rw' B Rw' BR' Rw B' U'	Jl+ [U'] {R,U} R U' BR' R' U R U' BR R' U	Jl- [U] {U,BL} H' U S

L [U] {L,U} U' R BR Rw' U R U' Rw R' BR' U R' R' U' L' R B' R B R' L R' U R D Rw R B' R' B R' L R L' Rw' D'	L+ [U'] {L,U} U' R' D' R U R' D R	L- {U,BL} S U H U H [U'] {B,L} BR R' Rw U' Rw' R BR' R' Rw U Rw'
Lc [U] {R,U} Rw' D' R U' R' D R' U R Rw	Lc+ [U'] {U,BL} BLw L' U' H' U BLw' B	Lc- [U] S U' H U' H
La {L,F} Rw R' U R D' R U' R' D Rw'	La+ {R,U} U' R U Rw' U' R' D R' U R D' Rw	La- [U'] B' BLw U' H U L BLw'

Lb {U,BL} R U' R' L R' L' R B' R B U R'	Lb+ [U'] {L,F} U Rw' R U' R' U Rw U'	Lb- [U'] {U,BR} H' U' S
Lr [U'] {B,BL} L' D' R U R' D R' U' R L [U'] L U R' D R U' R D' R' L' [U'] {B,D} U' Rw' BR' Rw B' Rw U Rw' B U {L,U} U R U R' U' {U,BR} D' R' U' R D	Lr+ [U'] S' U' H	Lr- [U] {R,U} U' R BR U R' U' R BR' U R'
Ll [U'] S' U' S	Ll+ [U] {L,U} R U' BR R' U R U' BR' R' U	Ll- [U'] {R,F} U' R D' R' U' R D R' U'

B [U'] R U R' U S' U' B' R B U' R' [U'] {L,F} R U R U' R' U {F,D} U S U' B' R' [U] H U H U' S U' S	B+ [U] {U,BL} S U S U H	B- [U'] H U' H U' S
Bc [U'] {U,BR} S' U' S' U' S'	Bc+ [U'] {L,F} U R D' R U' R' D' R' U R D' R' U' [U] {F,U} U' BLw' U' R L R' L' U BLw U	Bc- [U] {U,BL} S U H U S'
Ba [U] {U,BL} S U S U S	Ba+ [U] S' U Rw R' L R' L' R2 Rw'	Ba- [U] {R,U} U' R' D R2 U R2' D R U' R' D R U [U] {BR,U} U' BLw' U' L R L' R' U BLw U

Bb S' U' H U S' [U] {U,BR} S' U' S' U H	Bb+ [U] {U,BL} BR' R' U' Rw L R' L' R Rw' U R BR	Bb- S U Rw' R B' R B Rw R2'
Br [U'] {U,BR} L BLw' U S' U' B' BLw	Br+ {U,BL} B' BLw U S' U' BLw' B	Br- [U] {U,BR} S' U' S' U S
Bl BLw' B U S U' BLw L'	Bl+ S' U' S U S	Bl- [U'] {U,BR} B' BLw U S U' BLw' B

T H S {U,BL}S H {U,BR} L R' D R' D' R L' R	T+ {R,BR} R' U' Rw' R U' R U Rw R' U	T- {L,U} R U Rw R' U R' U' Rw' R U'
Tc {B,U} U' R' D R' U R D' R	Tc+ H'	Tc- {B,U} U' R U R D R' U' R D' R' U R'
Ta {B,BL} U R D' R U' R' D R'	Ta+ {B,BL} U R' U' R' D' R U R' D R U' R	Ta- {U,BL} S'

Tb {B,BR} R' U' R D' R U' R' D R' U' R	Tb+ {R,BR} U Rw' U' R U Rw R2' U' R	Tb- {L,U} U' Rw U R' U' Rw' R' U R'
Tr [U] {L,U} R U' R2' D' R U R' D R [U] {B,BL} R D R' U R D' R U' R	Tr+ {L,U} R' D R' U' R D R U R' D R [U] {B,BL} R D R' U R D R U' R' D R2	Tr- [U] L BLw' U' S U BLw L' [U] R U R' L R L' U' R B' R B {L,U} U' D R' U R D' {L,D} R' U R U'
Tl [U'] {B,U} R' D' R U' R' D R2 U R'	Tl+ [U'] {U,BL} L BLw' U S' U' BLw L' [U'] {U,BL} R' U' R B' R' B U R' L R' L' {R,BR} U D' R U' R' D {BR,F} R B' R' B	Tl- [U'] {B,U} R' D' R U' R' D' R' U R D' R

Z [U'] {L,U} U' R U R D' R U' R' D R U	Z+ [U] {B,U} R U BR R BR' U BR R' BR' R' U	Z- [U] {U,BR} H U' S' U S [U'] {L,BL} U' D R U R Rw' U R' U' R' Rw D'
Zc {B,U} U' R BR U R' F' R U' BR U R'	Zc+ [U] {U,BL} L BL' U S' U' BL L'	Zc- [U'] {B,U} R U' BR R' U R U' BR' U R' [U] {B,U} U' R BR' R' U R U' BR R' U
Za [U] L BLw' U' S' U B' R [U'] BLw L' U H U' R' L	Za+ [U'] {B,L} U' R' BR Rw' U' R' U' Rw BR R' U	Za- [U'] {U,BR} R B' BR' R' BR B R' U R

Zb {R,U} U' R BR' R' U R U' BR U R'	Zb+ [U'] {BL,BR} B' R' U' L' R' L R U R B [U'] {B,L} U' Rw R' BR U BR' U' Rw' R U [U'] {B,U} R U' R' U' Rw' U' R' U' R U' Rw U'	Zb- [U'] S U S
Zr [U'] {U,BR} S U S U' S [U'] {L,U} L' U L Rw' U' R' U' R U' Rw U'	Zr+ [U'] H U S'	Zr- [U'] {U,BL} Rs L R' L' Rw2 R'
Zl [U'] S U H [U'] {U,BR} S' U H'	Zl+ {U,BL} L BLw' U' S' U BLw L'	Zl- [U'] {BR,U} U R U' R' L' R L U R' U'

S [U] {R,BR} U R' U' R' D R' U R D' R' U'	S+ [U'] H' U S' U' S {R,F} D' U R' U' R' Rw U' R U R Rw' D {R,U} U Rw' U BR' R' U R U' BR U' Rw U'	S- {BR,U} Rw' B R' U R' L' R L U' R B' Rw
Sc [U] {U,BL} BLw' B U' S U BLw L'	Sc+ [U] {U,BR} BLw' B U R U' B' BLw U' R'	Sc- [U] {BL,U} U' R' L' U S' U' L R U
Sa {L,U} R U' BR' R' U F U' R BR' R' U	Sa+ [U] {L,U} U' R BR' U R' U' R BR R' U	Sa- [U'] {U,BR} R' BR U' S U BR' R

Sb {U,BL} BLw L' U S' U' BLw' B	Sb+ [U] S' U' S'	Sb- [U] {BR,F} L R U B R B' R' U' R' L' [U] {L,F} U R' U' R BR' U R D' R U' R' D R'
Sr [U] {U,BR} H' U' S' [U] {U,BL} H U' S	Sr+ [U] {BL,F} U' R' U R B R' B' U' R U	Sr- B' BLw U H' U' BLw' B
Sl [U] {U,BL} S' U' S' U S'	Sl+ [U] {B,U} Rw' R U' R U Rw R2'	Sl- [U] {U,BL} S U' H'