Formulas
CFOP method (Fridrich): all the formulas
Every case of the method with its formula, step by step. Hold your cube as the case's hint says before applying its formula.
Step 1 · Cross
On top, white up
The edge is on top, white facing up: turn U until it is at the front, its other colour above the front centre.
F2→ piece in placeOn top, white in front
The edge is on top, white on the side: turn U until it is at the front, white facing you.
U' R' F R→ piece in placeMiddle right, white on the right
The edge is in the middle layer, front right, white on the right face.
F→ piece in placeMiddle left, white on the left
The edge is in the middle layer, front left, white on the left face.
F'→ piece in place
Step 2 · F2L (first two layers)
F2L 1 · Corner white to the right, edge at the back
Turn U until you have the corner at the top front right, white facing right, and the edge at the top back, front colour on top.
R U R'→ piece in placeF2L 2 · Corner white to the front, edge on the left
Turn U until you have the corner at the top front right, white facing front, and the edge at the top left, right colour on top.
F' U' F→ piece in placeF2L 3 · Corner white to the front, edge on the right
Turn U until you have the corner at the top front right, white facing front, and the edge at the top right, front colour on top.
U R U' R'→ piece in placeF2L 4 · Corner white to the right, edge at the front
Turn U until you have the corner at the top front right, white facing right, and the edge at the top front, right colour on top.
U' F' U F→ piece in placeF2L 5 · Corner white up, edge on the right
Turn U until you have the corner at the top front right, white facing up, and the edge at the top right, front colour on top.
R U2 R' U' R U R'→ piece in placeF2L 6 · Corner white to the back, edge at the back
Turn U until you have the corner at the top back right, white facing back, and the edge at the top back, front colour on top.
R U' R' U R U R'→ piece in placeF2L 7 · Corner white to the right, edge on the right
Turn U until you have the corner at the top front right, white facing right, and the edge at the top right, right colour on top.
R U' R' U2 F' U' F→ piece in placeF2L 8 · Corner white up, edge at the front
Turn U until you have the corner at the top front right, white facing up, and the edge at the top front, right colour on top.
F' U2 F U F' U' F→ piece in placeF2L 9 · Corner white up, edge at the back
Turn U until you have the corner at the top front right, white facing up, and the edge at the top back, front colour on top.
U R U2 R' U R U' R'→ piece in placeF2L 10 · Corner white to the front, edge on the left
Turn U until you have the corner at the top front right, white facing front, and the edge at the top left, front colour on top.
U' R U2 R' U2 R U' R'→ piece in placeF2L 11 · Corner white to the front, edge at the back
Turn U until you have the corner at the top front right, white facing front, and the edge at the top back, right colour on top.
U' R U' R' U F' U' F→ piece in placeF2L 12 · Corner white up, edge on the left
Turn U until you have the corner at the top front right, white facing up, and the edge at the top left, front colour on top.
U2 R U R' U R U' R'→ piece in placeF2L 13 · Corner white to the right, edge on the left
Turn U until you have the corner at the top front right, white facing right, and the edge at the top left, front colour on top.
U F' U F U' R U R'→ piece in placeF2L 14 · Corner white up, edge at the back
Turn U until you have the corner at the top front right, white facing up, and the edge at the top back, right colour on top.
U2 F' U' F U' F' U F→ piece in placeF2L 15 · Corner white to the right, edge on the left
Turn U until you have the corner at the top front right, white facing right, and the edge at the top left, right colour on top.
U F' U' F U2 F' U F→ piece in placeF2L 16 · Corner white to the front, edge at the back
Turn U until you have the corner at the top front right, white facing front, and the edge at the top back, front colour on top.
U' R U R' U2 R U' R'→ piece in placeF2L 17 · Corner white up, edge at the back
Turn U until you have the corner at the top back right, white facing up, and the edge at the top back, right colour on top.
R' F R F' U' F' U' F→ piece in placeF2L 18 · Corner white to the front, edge at the front
Turn U until you have the corner at the top front right, white facing front, and the edge at the top front, right colour on top.
U F' U F U' F' U' F→ piece in placeF2L 19 · Corner white up, edge on the left
Turn U until you have the corner at the top front right, white facing up, and the edge at the top left, right colour on top.
U' F' U2 F U' F' U F→ piece in placeF2L 20 · Corner white to the right, edge at the back
Turn U until you have the corner at the top front right, white facing right, and the edge at the top back, right colour on top.
U F' U2 F U2 F' U F→ piece in placeF2L 21 · Corner white to the back, edge at the back
Turn U until you have the corner at the top back left, white facing back, and the edge at the top back, front colour on top.
U2 F' U F U2 R U R'→ piece in placeF2L 22 · Corner white to the front, edge on the right
Turn U until you have the corner at the top front right, white facing front, and the edge at the top right, right colour on top.
F' U F U' F' U F U2 F' U F→ piece in placeF2L 23 · Corner white up, edge at the front
Turn U until you have the corner at the top front right, white facing up, and the edge at the top front, front colour on top.
R U R' U2 R U R' U' R U R'→ piece in placeF2L 24 · Corner white to the right, edge at the front
Turn U until you have the corner at the top front right, white facing right, and the edge at the top front, front colour on top.
R U' R' U R U' R' U2 R U' R'→ piece in placeF2L 25 · Corner white to the back, edge placed
Turn U until you have the corner at the top back right, white facing back, and the edge in the slot, correctly oriented.
R U2 R' U R U R'→ piece in placeF2L 26 · Corner white to the right, edge placed
Turn U until you have the corner at the top back right, white facing right, and the edge in the slot, correctly oriented.
R U' R' U2 R U' R'→ piece in placeF2L 27 · Corner white to the back, edge flipped
Turn U until you have the corner at the top back left, white facing back, and the edge in the slot, flipped.
R U R' F R' F' R→ piece in placeF2L 28 · Corner white to the left, edge flipped
Turn U until you have the corner at the top back left, white facing left, and the edge in the slot, flipped.
F' U F U R U R'→ piece in placeF2L 29 · Corner white up, edge flipped
Turn U until you have the corner at the top front right, white facing up, and the edge in the slot, flipped.
U' R' F R F' R U' R'→ piece in placeF2L 30 · Corner white up, edge placed
Turn U until you have the corner at the top front right, white facing up, and the edge in the slot, correctly oriented.
R U R' U' R U R' U' R U R'→ piece in placeF2L 31 · Corner down, white to the right, edge at the front
Turn U until you have the corner in the slot, white facing right, and the edge at the top front, right colour on top.
R U2 R' F' U2 F→ piece in placeF2L 32 · Corner down, white to the right, edge on the right
Turn U until you have the corner in the slot, white facing right, and the edge at the top right, front colour on top.
R U R' U' R U R'→ piece in placeF2L 33 · Corner down, white to the front, edge at the front
Turn U until you have the corner in the slot, white facing front, and the edge at the top front, right colour on top.
F' U' F U F' U' F→ piece in placeF2L 34 · Corner down, white to the front, edge on the right
Turn U until you have the corner in the slot, white facing front, and the edge at the top right, front colour on top.
R U' R' U R U' R'→ piece in placeF2L 35 · Corner placed, edge at the back
Turn U until you have the corner in the slot, correctly oriented, and the edge at the top back, front colour on top.
R' F R F' R U R'→ piece in placeF2L 36 · Corner placed, edge at the front
Turn U until you have the corner in the slot, correctly oriented, and the edge at the top front, right colour on top.
U R U' R' U' F' U F→ piece in placeF2L 37 · Corner placed, edge flipped
You have the corner in the slot, correctly oriented, and the edge in the slot, flipped.
R2 U2 F R2 F' U2 R' U R'→ piece in placeF2L 38 · Corner down, white to the front, edge flipped
You have the corner in the slot, white facing front, and the edge in the slot, flipped.
R F U R U' R' F' U' R'→ piece in placeF2L 39 · Corner down, white to the right, edge flipped
You have the corner in the slot, white facing right, and the edge in the slot, flipped.
R U F R U R' U' F' R'→ piece in placeF2L 40 · Corner down, white to the right, edge placed
You have the corner in the slot, white facing right, and the edge in the slot, correctly oriented.
R U' R' U R U2 R' U R U' R'→ piece in placeF2L 41 · Corner down, white to the front, edge placed
You have the corner in the slot, white facing front, and the edge in the slot, correctly oriented.
R U' R' U' R U R' U2 R U' R'→ piece in place
Step 3 · OLL (yellow face)
OLL 1 · Runway
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; right: the whole row; back: middle; left: the whole row.
R U2 R2 F R F' U2 R' F R F'→ piece in placeOLL 2 · Zamboni
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle and right; right: middle; back: left and middle; left: the whole row.
F R U R' U' F' f R U R' U' f'→ piece in placeOLL 3 · Anti-Pinwheel
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; right: middle and right; back: middle and right; left: middle and right.
f R U R' U' f' U' F R U R' U' F'→ piece in placeOLL 4 · Pinwheel
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and middle; right: left and middle; back: middle; left: left and middle.
f R U R' U' f' U F R U R' U' F'→ piece in placeOLL 5 · Lefty Square
Turn U until the yellow on the sides matches the picture (each face seen from its front) — right: right; back: middle and right; left: middle and right.
r' U2 R U R' U r→ piece in placeOLL 6 · Righty Square
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and middle; right: left; left: left and middle.
r U2 R' U' R U' r'→ piece in placeOLL 7 · Lightning
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle and right; right: middle and right; back: right.
r U R' U R U2 r'→ piece in placeOLL 8 · Reverse Lightning
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and middle; back: left; left: left and middle.
l' U' L U' L' U2 l→ piece in placeOLL 9 · Kite
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and middle; right: middle; back: left; left: left.
R U R' U' R' F R2 U R' U' F'→ piece in placeOLL 10 · Anti-Kite
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: right; right: middle; back: middle and right; left: right.
R U R' U R' F R F' R U2 R'→ piece in placeOLL 11 · Downstairs
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle and right; right: middle; back: right; left: right.
r U R' U R' F R F' R U2 r'→ piece in placeOLL 12 · Upstairs
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and middle; right: left; back: left; left: middle.
M' R' U' R U' R' U2 R U' R r'→ piece in placeOLL 13 · Gun
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle and right; right: right; back: middle and right.
F U R U' R2 F' R U R U' R'→ piece in placeOLL 14 · Anti-Gun
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and middle; back: left and middle; left: left.
R' F R U R' F' R F U' F'→ piece in placeOLL 15 · Squeegee
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle and right; right: right; back: middle; left: right.
l' U' l L' U' L U l' U l→ piece in placeOLL 16 · Anti-Squeegee
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and middle; right: left; back: middle; left: left.
r U r' R U R' U' r U' r'→ piece in placeOLL 17 · Slash
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; right: middle; back: left and middle; left: middle and right.
R U R' U R' F R F' U2 R' F R F'→ piece in placeOLL 18 · Crown
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: the whole row; right: middle; back: middle; left: middle.
r U R' U R U2 r2 U' R U' R' U2 r→ piece in placeOLL 19 · Bunny
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; right: left and middle; back: middle; left: middle and right.
r' R U R U R' U' M' R' F R F'→ piece in placeOLL 20 · X
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; right: middle; back: middle; left: middle.
r U R' U' M2 U R U' R' U' M'→ piece in placeOLL 21 · H
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and right; back: left and right.
R U2 R' U' R U R' U' R U' R'→ piece in placeOLL 22 · Pi
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: right; back: left; left: left and right.
R U2 R2 U' R2 U' R2 U2 R→ piece in placeOLL 23 · Headlights
Turn U until the yellow on the sides matches the picture (each face seen from its front) — back: left and right.
R2 D' R U2 R' D R U2 R→ piece in placeOLL 24 · Chameleon
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left; back: right.
r U R' U' r' F R F'→ piece in placeOLL 25 · Bowtie
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: right; left: left.
F' r U R' U' r' F R→ piece in placeOLL 26 · Antisune
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left; right: left; left: left.
R U2 R' U' R U' R'→ piece in placeOLL 27 · Sune
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: right; right: right; back: right.
R U R' U R U2 R'→ piece in placeOLL 28 · Stealth
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; right: middle.
r U R' U' r' R U R U' R'→ piece in placeOLL 29 · Spotted Chameleon
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and middle; right: middle; back: right.
R U R' U' R U' R' F' U' F R U R'→ piece in placeOLL 30 · Anti-Spotted Chameleon
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; right: middle and right; left: left.
F R' F R2 U' R' U' R U R' F2→ piece in placeOLL 31 · Couch
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and middle; back: right; left: middle.
R' U' F U R U' R' F' R→ piece in placeOLL 32 · Anti-Couch
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle and right; right: middle; back: left.
L U F' U' L' U L F L'→ piece in placeOLL 33 · Tying Shoelaces
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and middle; back: middle and right.
R U R' U' R' F R F'→ piece in placeOLL 34 · City
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; right: right; back: middle; left: left.
R U R2 U' R' F R U R U' F'→ piece in placeOLL 35 · Fish Salad
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left; right: right; back: middle; left: middle.
R U2 R2 F R F' R U2 R'→ piece in placeOLL 36 · Wario
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; back: left; left: middle and right.
L' U' L U' L' U L U L F' L' F→ piece in placeOLL 37 · Mounted Fish
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and middle; right: middle and right.
F R' F' R U R U' R'→ piece in placeOLL 38 · Mario
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; right: left and middle; back: right.
R U R' U R U' R' U' R' F R F'→ piece in placeOLL 39 · Fung
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; right: left; back: middle and right.
L F' L' U' L U F U' L'→ piece in placeOLL 40 · Anti-Fung
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; back: left and middle; left: right.
R' F R U R' U' F' U R→ piece in placeOLL 41 · Awkward Fish
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; right: middle; back: left and right.
R U R' U R U2 R' F R U R' U' F'→ piece in placeOLL 42 · Lefty Awkward Fish
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and right; right: middle; back: middle.
R' U' R U' R' U2 R F R U R' U' F'→ piece in placeOLL 43 · Anti-P
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; left: the whole row.
F' U' L' U L F→ piece in placeOLL 44 · P
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; right: the whole row.
F U R U' R' F'→ piece in placeOLL 45 · T
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; back: middle; left: left and right.
F R U R' U' F'→ piece in placeOLL 46 · Seein' Headlights
Turn U until the yellow on the sides matches the picture (each face seen from its front) — right: the whole row; left: middle.
R' U' R' F R F' U R→ piece in placeOLL 47 · Anti-Breakneck
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and middle; right: left and right; back: right; left: middle.
R' U' R' F R F' R' F R F' U R→ piece in placeOLL 48 · Breakneck
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle and right; right: middle; back: left; left: left and right.
F R U R' U' R U R' U' F'→ piece in placeOLL 49 · Right back squeezy
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle and right; back: left; left: the whole row.
r U' r2 U r2 U r2 U' r→ piece in placeOLL 50 · Right front squeezy
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: right; back: left and middle; left: the whole row.
r' U r2 U' r2 U' r2 U r'→ piece in placeOLL 51 · Bottlecap
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left and middle; right: left and right; back: middle and right.
F U R U' R' U R U' R' F'→ piece in placeOLL 52 · Rice Cooker
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: left; right: the whole row; back: right; left: middle.
R U R' U R U' B U' B' R'→ piece in placeOLL 53 · Frying Pan
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: the whole row; back: left and right; left: middle.
l' U2 L U L' U' L U L' U l→ piece in placeOLL 54 · Anti-Frying Pan
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: the whole row; right: middle; back: left and right.
r U2 R' U' R U R' U' R U' r'→ piece in placeOLL 55 · Highway
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: the whole row; back: the whole row.
R' F R U R U' R2 F' R2 U' R' U R U R'→ piece in placeOLL 56 · Streetlights
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; right: left and right; back: middle; left: left and right.
r' U' r U' R' U R U' R' U R r' U r→ piece in placeOLL 57 · Mummy
Turn U until the yellow on the sides matches the picture (each face seen from its front) — front: middle; back: middle.
R U R' U' M' U R U' r'→ piece in place
Step 4 · PLL (last layer)
Aa · three corners
Only three corners move, the edges are solved. Turn U to put the headlights (two corners of the same colour) at the back, then finish with a turn of U if needed.
x R' U R' D2 R U' R' D2 R2 x'→ piece in placeAb · three corners
Only three corners move, the edges are solved. Turn U to put the headlights on the right, then finish with a turn of U if needed.
x R2 D2 R U R' D2 R U' R x'→ piece in placeE · corners in pairs
Only the corners move, swapped in pairs: no side has headlights. Turn U to line the edges up with the centres, and the whole cube (y) if the corners don't look like the picture, then finish with a turn of U if needed.
x' R U' R' D R U R' D' R U R' D R U' R' D' x→ piece in placeF · full bar
One side shows a full row of a single colour. Turn U to put it on the left, then finish with a turn of U if needed.
R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R→ piece in placeGa
Headlights on one side, and a corner-edge pair built elsewhere. Turn U to put the headlights on the left, as in the picture, then finish with a turn of U if needed.
R2 U R' U R' U' R U' R2 U' D R' U R D'→ piece in placeGb
Headlights on one side, and a corner-edge pair built elsewhere. Turn U to put the headlights on the left, as in the picture, then finish with a turn of U if needed.
R' U' R U D' R2 U R' U R U' R U' R2 D→ piece in placeGc
Headlights on one side, and a corner-edge pair built elsewhere. Turn U to put the headlights on the left, as in the picture, then finish with a turn of U if needed.
R2 U' R U' R U R' U R2 U D' R U' R' D→ piece in placeGd
Headlights on one side, and a corner-edge pair built elsewhere. Turn U to put the headlights on the left, as in the picture, then finish with a turn of U if needed.
R U R' U' D R2 U' R U' R' U R' U R2 D'→ piece in placeH · opposite edges
The corners are solved and each edge has to go to the opposite side. Turn U to line the corners up with the centres, then finish with a turn of U if needed.
M2 U M2 U2 M2 U M2→ piece in placeJa
One side shows a full row of a single colour, with a corner-edge block next to it. Turn U to put the full row on the right, then finish with a turn of U if needed.
L' U' L F L' U' L U L F' L2 U L→ piece in placeJb
One side shows a full row of a single colour, with a corner-edge block next to it. Turn U to put the full row on the left, then finish with a turn of U if needed.
R U R' F' R U R' U' R' F R2 U' R'→ piece in placeNa
No headlights, and two corner-edge blocks facing each other diagonally. Turn U so the sides look like the picture, then finish with a turn of U if needed.
R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R'→ piece in placeNb
No headlights, and two corner-edge blocks facing each other diagonally. Turn U so the sides look like the picture, then finish with a turn of U if needed.
R' U R U' R' F' U' F R U R' F R' F' R U' R→ piece in placeRa
Headlights on one side, and a corner-edge block on the opposite side. Turn U to put the headlights on the left, then finish with a turn of U if needed.
R U' R' U' R U R D R' U' R D' R' U2 R'→ piece in placeRb
Headlights on one side, and a corner-edge block on the opposite side. Turn U to put the headlights on the left, then finish with a turn of U if needed.
R2 F R U R U' R' F' R U2 R' U2 R→ piece in placeT
Headlights on one side, and opposite them a row alternating two colours. Turn U to put the headlights on the left, then finish with a turn of U if needed.
R U R' U' R' F R2 U' R' U' R U R' F'→ piece in placeUa · three edges
The corners are solved and one side is complete: only three edges move. Turn U to put the complete side at the back, then finish with a turn of U if needed.
M2 U M U2 M' U M2→ piece in placeUb · three edges
The corners are solved and one side is complete: only three edges move. Turn U to put the complete side at the back, then finish with a turn of U if needed.
M2 U' M U2 M' U' M2→ piece in placeV
No headlights, two corners to swap diagonally and one corner-edge block built. Turn U to put the block at the front left, then finish with a turn of U if needed.
R' U R' U' y R' F' R2 U' R' U R' F R F→ piece in placeY
No headlights, two corners to swap diagonally and one corner-edge block built. Turn U to put the block at the front left, then finish with a turn of U if needed.
F R U' R' U' R U R' F' R U R' U' R' F R F'→ piece in placeZ · adjacent edges
The corners are solved and the edges swap with their neighbours. Turn U to line the corners up with the centres, and the whole cube (y) if needed to match the picture, then finish with a turn of U if needed.
M' U M2 U M2 U M' U2 M2→ piece in place