Algorithms

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

131 sets, 25,561 cases and 250,107 algorithms. Some sets overlap.

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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

Ortega OLL

Orient the top face after making the bottom face.

7 cases · 575 algorithms
PBL

Permute both layers after orienting both faces.

8 cases · 167 algorithms
CBL (RoFL)

Solve both layers once their corner colours are separated.

2,794 cases · 25,681 algorithms
LS-1

Solve the last slot and top layer with D toward U and U toward D.

54 cases · 593 algorithms
LS-2

Solve the last slot and top layer with D toward U and U toward F.

54 cases · 626 algorithms
LS-3

Solve the last slot and top layer with D toward U and U toward R.

54 cases · 596 algorithms
LS-4

Solve the last slot and top layer with D toward F and U toward D.

54 cases · 607 algorithms
LS-5

Solve the last slot and top layer with D toward F and U toward F.

54 cases · 562 algorithms
LS-6

Solve the last slot and top layer with D toward F and U toward R.

54 cases · 595 algorithms
LS-7

Solve the last slot and top layer with D toward R and U toward D.

54 cases · 601 algorithms
LS-8

Solve the last slot and top layer with D toward R and U toward F.

54 cases · 586 algorithms
LS-9

Solve the last slot and top layer with D toward R and U toward R.

54 cases · 557 algorithms
BEG1-LS1

Solve the last slot and top layer with D toward U and U toward D.

54 cases · 532 algorithms
BEG1-LS2

Solve the last slot and top layer with D toward U and U toward F.

54 cases · 515 algorithms
BEG1-LS3

Solve the last slot and top layer with D toward U and U toward R.

54 cases · 521 algorithms
BEG1-LS4

Solve the last slot and top layer with D toward F and U toward D.

54 cases · 537 algorithms
BEG1-LS5

Solve the last slot and top layer with D toward F and U toward F.

54 cases · 504 algorithms
BEG1-LS6

Solve the last slot and top layer with D toward F and U toward R.

54 cases · 538 algorithms
BEG1-LS7

Solve the last slot and top layer with D toward R and U toward D.

54 cases · 510 algorithms
BEG1-LS8

Solve the last slot and top layer with D toward R and U toward F.

54 cases · 544 algorithms
BEG1-LS9

Solve the last slot and top layer with D toward R and U toward R.

54 cases · 511 algorithms
LEG1-LS1

Solve the last slot and top layer with D toward U and U toward D.

54 cases · 517 algorithms
LEG1-LS2

Solve the last slot and top layer with D toward U and U toward F.

54 cases · 518 algorithms
LEG1-LS3

Solve the last slot and top layer with D toward U and U toward R.

54 cases · 489 algorithms
LEG1-LS4

Solve the last slot and top layer with D toward F and U toward D.

54 cases · 492 algorithms
LEG1-LS5

Solve the last slot and top layer with D toward F and U toward F.

54 cases · 512 algorithms
LEG1-LS6

Solve the last slot and top layer with D toward F and U toward R.

54 cases · 544 algorithms
LEG1-LS7

Solve the last slot and top layer with D toward R and U toward D.

54 cases · 522 algorithms
LEG1-LS8

Solve the last slot and top layer with D toward R and U toward F.

54 cases · 508 algorithms
LEG1-LS9

Solve the last slot and top layer with D toward R and U toward R.

54 cases · 482 algorithms
TEG-2+

Solve a twisted EG layer with the DFR sticker facing F.

43 cases · 680 algorithms
TEG-2-

Solve a twisted EG layer with the DFR sticker facing R.

43 cases · 707 algorithms
TEG-1 A+

Solve a twisted EG layer with the DFR sticker facing F.

43 cases · 399 algorithms
TEG-1 A-

Solve a twisted EG layer with the DFR sticker facing R.

43 cases · 387 algorithms
TEG-1 B+

Solve a twisted EG layer with the DFR sticker facing F.

43 cases · 402 algorithms
TEG-1 B-

Solve a twisted EG layer with the DFR sticker facing R.

43 cases · 382 algorithms
TEG-1 C+

Solve a twisted EG layer with the DFR sticker facing F.

43 cases · 438 algorithms
TEG-1 C-

Solve a twisted EG layer with the DFR sticker facing R.

43 cases · 433 algorithms
TEG-1 D+

Solve a twisted EG layer with the DFR sticker facing F.

43 cases · 396 algorithms
TEG-1 D-

Solve a twisted EG layer with the DFR sticker facing R.

43 cases · 389 algorithms
Fake Bar CLL

Solve from a fake bar that leads to CLL.

162 cases · 2,583 algorithms
HD LOLS

Orient the corners from the HD three-corner V.

23 cases · 214 algorithms
Guimond orientation

Orient the corners while treating U and D as one colour.

16 cases · 141 algorithms
SS

Complete both faces from three oriented D corners.

104 cases · 955 algorithms
SOAP

Orient both faces with their colours already separated.

53 cases · 556 algorithms
HD NLL

Permute the oriented corners in the HD last-slot step.

36 cases · 340 algorithms
VOP PLFC

Permute the last five corners after orientation.

8 cases · 81 algorithms
Unmixing

Separate the U and D colours after orientation.

6 cases · 52 algorithms
BOP 6CO

Orient six corners around a solved block.

71 cases · 620 algorithms
BOP 6CP

Permute six oriented corners around a solved block.

47 cases · 388 algorithms
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

Orient the reduced last layer without OLL parity.

57 cases · 103 algorithms
OLL parity, one paired edge flipped

Orient the last layer with one paired edge flipped.

27 cases · 881 algorithms
OLL parity, three paired edges flipped

Orient the last layer with three paired edges flipped.

27 cases · 79 algorithms
EPLL with parity (ZZ44)

Permute paired edges, including PLL parity.

9 cases · 27 algorithms
L2E

Pair the last two edges held opposite each other.

2 cases · 226 algorithms
L2C

Finish the last two centres.

7 cases · 50 algorithms
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

OC, two or three corners (Grant)

Orient two or three last-layer corners.

8 cases · 67 algorithms
OLL, at least three edges oriented

Orient the last layer with at least three edges oriented.

178 cases · 776 algorithms
ELL

Solve the last-layer edges without constraining corners.

39 cases · 51 algorithms
3ELL

Solve three remaining edges while preserving the corners.

18 cases · 18 algorithms
3CLL

Solve three remaining corners while preserving the edges.

44 cases · 44 algorithms
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

FTO

1L3T

Solve the last three triples in one algorithm.

179 cases · 14,493 algorithms
OLP

Form the last pairs in one step.

11 cases · 2,993 algorithms
TCP

Solve the triangle and corner permutations after OLP.

18 cases · 1,509 algorithms
PF

Form pairs for the three-step L3T finish.

10 cases · 8,787 algorithms
TL

Solve the top of the triples after pair formation.

5 cases · 1,462 algorithms
LT (last triangles)

Permute the last lower triangles.

3 cases · 189 algorithms
TCP, even

Finish the even TCP subset.

6 cases · 433 algorithms
TCP, odd

Finish the odd TCP subset.

6 cases · 551 algorithms
TCP, two flips

Finish the two flips TCP subset.

6 cases · 525 algorithms
1LLL

Solve the Nautilus last layer in one algorithm.

377 cases · 709 algorithms
L6X

Align the six last-layer triangles, leaving corners free.

35 cases · 744 algorithms
L3C

Solve the last three corners after the triangles.

5 cases · 24 algorithms
L3C, corner orientation

Orient the last three corners.

1 cases · 22 algorithms
L3C, corner permutation

Permute the oriented last three corners.

2 cases · 7 algorithms
PL6X

Solve the last six triangles with the corners preserved.

35 cases · 118 algorithms
BTLT

Solve the corner and bottom triangle of the last triple.

23 cases · 156 algorithms
FTLT

Solve the corner and front triangle of the last triple.

23 cases · 99 algorithms
LT Nautilus

Solve the Nautilus last triple in one algorithm.

151 cases · 1,143 algorithms
LBT

Solve the last bottom triple in the Bencisco method.

95 cases · 275 algorithms

Skewb

L2L (Sarah advanced)

Finish the Skewb after the first layer.

134 cases · 1,969 algorithms
L5C

Solve the last five centres with all corners solved.

14 cases · 251 algorithms
Opposite layer

Solve the opposite layer, leaving side centres free.

11 cases · 1,023 algorithms
Side centres (Yutong Liang)

Permute the four side centres.

4 cases · 63 algorithms
L4C (Ranzha)

Solve the centres without requiring U corner orientation.

6 cases · 377 algorithms
L4C+CLL (Ranzha)

Solve the centres and U corners together.

74 cases · 1,322 algorithms
CLL (Ranzha)

Solve the U corners while preserving all centres.

2 cases · 34 algorithms
CLL/EG (Kirjava-Meep)

Solve all corners from an oriented D face.

5 cases · 55 algorithms
CLS (Kirjava-Meep)

Solve the corners from a twisted last slot.

18 cases · 186 algorithms