Algorithms

Pick a puzzle and a set, open a case and play its algorithms on the cube. Every algorithm was replayed by the application before being published; when the optimum is proven, the page says so.

42 sets, 18,663 cases and 156,681 algorithms, each counted once even when it belongs to several sets.

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3×3

F2L

The last corner and edge pair of the first two layers.

41 cases · 575 algorithms
Two-look OLL

Orient the last layer in two steps: edges, then corners.

10 cases · 8,873 algorithms
OLL

Orient the whole last layer in one algorithm.

57 cases · 10,535 algorithms
Two-look PLL

Permute the last layer in two steps: corners, then edges.

6 cases · 404 algorithms
PLL

Permute the last layer once it is oriented.

21 cases · 1,101 algorithms
OCLL

Orient the corners when the edges are already oriented.

7 cases · 8,835 algorithms
EPLL

Permute the edges when the corners are in place.

4 cases · 203 algorithms
CPLL

The PLLs that only move corners.

3 cases · 164 algorithms
COLL

Orient and place the corners when the edges are oriented.

42 cases · 9,720 algorithms
ZBLL

The whole last layer when its edges are oriented.

472 cases · 7,274 algorithms
OLLCP

Orient the last layer and place its corners at once.

331 cases · 13,844 algorithms
1LLL

Any last layer in a single algorithm.

3,915 cases · 39,571 algorithms
Winter Variation

Insert the last pair while orienting the corners.

54 cases · 492 algorithms
Summer Variation

Like the Winter Variation, for a pair inserted with R U R'.

54 cases · 407 algorithms
VLS

Insert the last pair and orient the whole last layer.

432 cases · 3,793 algorithms
HLS

Like VLS, for a pair inserted with R U R'.

432 cases · 3,258 algorithms
CLS

Insert the last corner while orienting the last layer.

104 cases · 10,110 algorithms
EJLS

The pair's corner is twisted in its slot.

16 cases · 299 algorithms
Autumn Variation

The pair's corner is on top, its bottom colour facing up.

27 cases · 326 algorithms
BLE

Insert the last edge while orienting the corners.

27 cases · 204 algorithms
OLS-FE

The pair's edge is flipped in its slot.

54 cases · 500 algorithms
OLS

The last pair and the last-layer orientation in one algorithm.

8,111 cases · 72,663 algorithms
ZBLS

Insert the last pair while orienting the edges.

302 cases · 3,573 algorithms
ELS

Place the pair's edge while orienting the edges.

21 cases · 549 algorithms
3-style

The 3×3 blindfolded commutators: corners, edges, twists, flips and parity.

1,031 cases · 3,091 algorithms

2×2

CLL

The whole top layer when the bottom layer is done.

42 cases · 905 algorithms
EG-1

Bottom face done, two adjacent corners swapped.

40 cases · 932 algorithms
EG-2

Bottom face done, two opposite corners swapped.

40 cases · 702 algorithms
TCLL+

Bottom layer done but one corner twisted towards the front.

43 cases · 553 algorithms
TCLL-

Bottom layer done but one corner twisted to the right.

43 cases · 529 algorithms

4×4

OLL with parity

Orient the last layer when OLL parity shows up.

54 cases · 892 algorithms
PLL with parity

Permute the last layer when PLL parity shows up.

22 cases · 449 algorithms
3-style 4BLD

The 4×4 blindfolded commutators: X-centres, corners and wings.

1,560 cases · 4,668 algorithms

5×5

L2C

Finish the last two centres.

18 cases · 56 algorithms
L2E

Pair the last two edges.

15 cases · 211 algorithms
3-style 5BLD

The 5×5 blindfolded commutators: X and T centres, corners, midges and wings.

2,572 cases · 7,680 algorithms

Megaminx

EO

Orient the last-layer edges.

3 cases · 490 algorithms
CO

Orient the last-layer corners.

16 cases · 99 algorithms
CP

Place the last-layer corners.

15 cases · 343 algorithms
EP

Place the last-layer edges, corners in place.

15 cases · 315 algorithms
OLL

Orient the Megaminx last layer in one algorithm.

259 cases · 514 algorithms
PLL

Permute the Megaminx last layer once it is oriented.

151 cases · 3,439 algorithms