Algorithm Reference

All 134 cases this site teaches, each machine-verified against a cube simulator before it ships. Tap a case to play it in 3D — the 13 the course teaches by name appear twice, once in their lesson's section and once in the full set. Prefer paper? Download the PDF guide or the printable card set— three progression cards plus an annex.

The Beginner Method (8)

Not cases — the algorithms the beginner solve is built out of, in course order: righty and lefty seat the white corners, the two inserts are those same triggers back to back, Sune + U swaps two yellow edges, Niklas seats the last four corners, and the two Speed Tricks twists finish without flipping the cube. Step 4's yellow cross is the next section down: those three are cases, a state to recognise and the algorithm that clears it.

Righty — the sexy moveThe four moves the whole beginner method is built from — corners, second layer, and the last-layer twistR U R' U'

SolvingRighty — the sexy move

Righty — the sexy move case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

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Lefty — righty mirroredRighty in the mirror, run with the left hand — it works the front-left slotL' U' L U

SolvingLefty — righty mirrored

Lefty — righty mirrored case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Edge insert — points rightUpside-down T on the front face and the edge's top sticker matches the RIGHT centre. U, righty, turn the cube, leftyU R U R' U' y L' U' L U

SolvingEdge insert — points right

Edge insert — points right case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Edge insert — points leftUpside-down T on the front face and the edge's top sticker matches the LEFT centre. U', lefty, turn the cube, rightyU' L' U' L U y' R U R' U'

SolvingEdge insert — points left

Edge insert — points left case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Sune + U — the edge swapTwo yellow edges already over their centres, side by side: hold them BACK and RIGHT. Swaps the front and left edges and leaves the cross alone; the corners scramble, ignore themR U R' U R U2 R' U

SolvingSune + U — the edge swap

Sune + U — the edge swap case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Niklas — the corner cycleHolds the front-left corner in its seat and cycles the other three: front-right → back-right → back-left. Square the top with one U firstR U' L' U R' U' L

SolvingNiklas — the corner cycle

Niklas — the corner cycle case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Corner twist — yellow faces rightYellow on top, an unsolved corner at the front-right with its yellow sticker facing RIGHT. Twists that one corner; turn only U between cornersR' D' R D R' D' R D

SolvingCorner twist — yellow faces right

Corner twist — yellow faces right case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Corner twist — yellow faces frontYellow on top, an unsolved corner at the front-right with its yellow sticker facing FRONT. The right-hand twist undone, move for moveD' R' D R D' R' D R

SolvingCorner twist — yellow faces front

Corner twist — yellow faces front case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Yellow Cross (3)

Three cases — and the first two are the same trigger.

Taught in Step 4: The Yellow Cross

LineYellow line through the center — hold it horizontalF R U R' U' F'

SolvingLine

Line case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

HookYellow L-shape — hold the L in the front-rightf R U R' U' f'

SolvingHook

Hook case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

DotOnly the yellow center — no edges orientedF R U R' U' F' f R U R' U' f'

SolvingDot

Dot case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Corner Orientation — 2-Look OLL (7)

Taught in Orient Corners: Anti-Sune + 5 New Cases

Sune1 yellow corner in the front-left, the other 3 twisted clockwiseR U R' U R U2 R'

SolvingSune

Sune case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Anti-Sune1 yellow corner in the back-right, the other 3 twisted counter-clockwiseR U2 R' U' R U' R'

SolvingAnti-Sune

Anti-Sune case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Pi0 yellow corners — headlights on the left onlyf R U R' U' f' F R U R' U' F'

SolvingPi

Pi case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Headlights2 yellow corners at the back — headlights facing youR2 D R' U2 R D' R' U2 R'

SolvingHeadlights

Headlights case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Double Headlights0 yellow corners — headlights on the left and the rightR U R' U R U' R' U R U2 R'

SolvingDouble Headlights

Double Headlights case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Chameleon2 adjacent yellow corners on the rightr U R' U' r' F R F'

SolvingChameleon

Chameleon case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Bowtie2 diagonal yellow cornersF' r U R' U' r' F R

SolvingBowtie

Bowtie case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Corner Permutation — 2-Look PLL (2)

Taught in The CFOP Switch

T-PermHeadlights on the left — the two right corners swapR U R' U' R' F R2 U' R' U' R U R' F'

SolvingT-Perm

T-Perm case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Y-PermNo headlights anywhere — diagonal corner swapF R U' R' U' R U R' F' R U R' U' R' F R F'

SolvingY-Perm

Y-Perm case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Edge Permutation — 2-Look PLL (4)

Taught in The CFOP Switch

UbSolved edge at the back — front edge goes leftR2 U R U R' U' R' U' R' U R'

SolvingUb

Ub case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

UaSolved edge at the back — front edge goes rightM2 U M U2 M' U M2

SolvingUa

Ua case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

H-PermBoth edge pairs swap across — opposite colors face each otherM2 U' M2 U2 M2 U' M2

SolvingH-Perm

H-Perm case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Z-PermAdjacent edge pairs swap — adjacent colors face each otherM' U' M2 U' M2 U' M' U2 M2 U

SolvingZ-Perm

Z-Perm case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

Full OLL (57)

The complete orientation set, grouped the way you recognize them.

Taught in Full OLL: 57 Cases by Shape

Dot (8)

1

2

3

4

Square Shape (2)

5

Small Lightning Bolt (4)

7

8

Fish Shape (4)

9

Knight Move Shape (4)

Cross (7)

Corners Oriented (2)

Awkward Shape (4)

P Shape (4)

T Shape (2)

C Shape (2)

W Shape (2)

Big Lightning Bolt (2)

Small L Shape (6)

I Shape (4)

F2L (41)

First-two-layers pairs for the front-right slot; learn them intuitively first and look the awkward ones up here.

Taught in F2L: Solve Two Layers at Once

Free Pairs (4)

1

2

3

Disconnected Pairs (10)

5

6

7

8

9

Connected Pairs (10)

Corner In Slot (6)

Edge In Slot (6)

Pieces In Slot (5)

Full PLL (21)

Permutations with their piece-movement arrows.

Taught in Full PLL: 21 Cases as Upgrades

Edges Only (4)

H

Z

Adjacent Corner Swap (12)

F

T

Diagonal Corner Swap (5)

E

Y

V

4×4 Skills (3)

The whole of what a 4×4 adds to the 3×3 you already solve: one algorithm for pairing, and the two states a 3×3 can never produce. Centres are intuitive — there is nothing to look up.

Taught in 4×4: The 3×3 Stage and Parity

The edge flipTurns the front-right edge pair over in place. Seven outer turns, nothing wide — so it cannot break a pair you have already made, and it means the same thing on a 5×5R U R' F R' F' R

SolvingThe edge flip

The edge flip case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

OLL Parity (4×4)One edge pair on the last layer is flipped over — its two halves show the side colour on top. No 3×3 can reach thisRw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw'

SolvingOLL Parity (4×4)

OLL Parity (4×4) case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

PLL Parity (4×4)Both last-layer edge pairs on one axis are swapped with the pair opposite them. The corners look shuffled here — that is a free U2, and the algorithm ignores it.2R2 U2 2R2 Uw2 2R2 Uw2

SolvingPLL Parity (4×4)

PLL Parity (4×4) case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →

5×5 Skills (1)

Two algorithms finish a 5×5, and you already know one: the edge flip is the same seven outer turns on both cubes. This is the other one — the only thing a 5×5 asks that a 4×4 does not. Centres and pairing are technique, taught in the lessons.

Taught in 5×5: Last Two Edges and Parity

Edge Parity (5×5)The last edge group looks flipped: its two wings show the side colour on top and yellow on the side, the middle piece is right. Hold it at UF.Rw U2 x Rw U2 Rw U2 3Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw'

SolvingEdge Parity (5×5)

Edge Parity (5×5) case diagram

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Starts at the case. Full colour is what this step solves, dim is already solved and has to survive it, grey is further down the method.

Open the full case page →