The checkerboard pattern

Patterns can make a bland Rubik's Cube a lot more exciting and if you memorize them, you can really impress your friends! In this article, there will be many patterns along with algorithms to show how to make patterns from a solved cube. (See Notation for what the sequences mean.)

Rubik's Cube Pattern Algorithms

Checkerboard (Pons Asinorum)

L2 R2 F2 B2 U2 D2 (or) M2 E2 S2

Twisted Checkerboard (Saltires)

F B2 R' D2 B R U D' R L' D' F' R2 D F2 B'

Checkerboard of order 6

R' D' F' D L F U2 B' L U D' R' D' L F L2 U F'

Checkerboard With T and U

D2 R2 L2 F2 B2 (or) D2 M2 S2

Stripes

F U F R L2 B D’ R D2 L D’ B R2 L F U F    

Middle Stripes

(M F2 M2 B2 M) y (M F2 M2 B2 M)

Pillars

L2 R2 B2 F2

Rudicks Cube

(M F2 M2 B2 M) y (M F2 M2 B2 M) D2

Cube in a Cube

F L F U' R U F2 L2 U' L' B D' B' L2 U

Cube in a Cube in a Cube

U’ L’ U’ F’ R2 B’ R F U B2 U B’ L U’ F U R F’

Cube in a Cube in a Cube With Exchanged Rings

B’ U’ B’ L’ D B U D2 B U L D’ L’ U’ L2 D

Cross

U F B' L2 U2 L2 F' B U2 L2 U

Plummer's Cross

R2 L' D F2 R' D' R' L U' D R D B2 R' U D2

Four Crosses

B2 F2 D' L2 R2 U2 B2 F2 U' R D2 L2 R2 U2 R'

Anaconda

L U B' U' R L' B R' F B' D R D' F'

Python

F2 R' B' U R' L F' L F' B D' R B L2

Black Mamba

R D L F' R L' D R' U D' B U' R' D'

Green Mamba

R D R F R' F' B D R' U' B' U D2

Female Rattlesnake

U2 D' L2 D B U B' R' L2 U2 F U' F R

Male Rattlesnake

R' F' U F' U2 R L2 B U' B' D' L2 U2 D

Female Boa

R U' R2 U2 F D2 R2 U' D' R D' F'

Male Boa

F D R' U D R2 D2 F' U2 R2 U R'

Six spots

E M E M E M E M (or) E M E' M'

Four spots

U2 M2 U2 M2 B2 M2 B2 (or) (M or M') (E2 or S2) (M or M') (E2 or S2)

Orthogonal bars

F R' U L F' L' F U' R U L' U' L F'

Six T's

F2 R2 U2 F' B D2 L2 F B

Six-two-one

U B2 D2 L B' L' U' L' B D2 B2

Exchanged peaks

F U2 L F L' B L U B' R' L' U R' D' F' B R2

Two twisted peaks

(F B' or S') U F U F U L B L2 B' U F' L U L' B

Four twisted peaks

U' D B R' F R B' L' F' B L F R' B' R F' U' D

Exchanged chicken feet

F L’ D’ B’ L F U F’ D’ F L2 B’ R’ U L2 D’ F

H pattern

U2 R2 L2 F2 B2 U2 R2 L2 F2 B2

Superflip

U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2 (or) (M' U M' U M' U M' U x y') x 3

India's and Sierra Leone's Flags

L R' U D B D2 B2 D' 

Note: Start with Blue in front and White on top; it will not work otherwise. Sierra Leone's flag will be upside down; it should be Blue, White and Green on the White side, so turn it around (y2) for the flag right side up. You won't see the chakra for the Indian flag.)

Three Edge Switch

F' L' B' R' U' R B L F U for clockwise

(F' L' B' R' U' R B L F U)2 for counterclockwise
or U' F' L' B' R' U R B L F

Two Dots on Four Sides Without Single Dot

(D2 R2 L2 F2 B2) x 2

Or

(D2 M2 S2 D B D B D B D2 L R' F R2 L2 R2 L2 R2 F2 F4) x 2

Two Dots on Four Sides With Single Dot

R2 U D F2 B2 U D L2

Two Dots on Two Sides

M2 U2 M2 U2

Ying Yang

R L B F R L U’ D’ F’ B’ U D

Twisted Ying Yang

L R F B U’ D’ L’ R’

2 Hs

U2 R2 L2 D2 R2 L2 (or) U2 M2 U2 M2

2 Checkerboards

R2 U2 L2 D2 R2 U2 L2 D2 R2 U2 L2 D2

Flower Pattern

L' R U D F B' R L' M2 E2 S2

Results of the above

Rubik's Revenge Patterns

Masterudreverse.svg

Two centres swapped (this is possible only on even-order cubes); not very interesting in itself, but a possible basis for other patterns. Has anyone got an algorithm? (l2 f2 b2) x2

Mastercheckstripe.svg

Checkerboards and stripes.

F2b2 U2d2 L2r2

Mastercube4.svg

Cube in a cube in a cube in a cube.

Four checkerboards.

F2b2 U2d2 L2r2 U2d2

Vertical stripes.

F2b2 U2d2 L2r2 U2d2 L2r2

Professor's Cube Patterns

The following are all possible; if anyone knows an efficient algorithm for any of these, please add it.

Profcheck.svg

Super Pons Asinorum

L2M2R2 U2E2D2 F2S2B2

or l2r2 u2d2 f2b2

Profcubecubecubecube.svg

Cube in a cube in a cube in a cube in a cube

Profdots.svg

Dots. The U face is the logo of the Royal Air Force and of The Who.

Profrings.svg

Six rings to rule them all!

Prof4dots.svg

Four-dot pattern r' l u d' r l' u' d

Prof4dots2.svg

Another four-dot pattern l2 r2 u2 d2 f2 u2 l2 r2 d2 f2

Prof es.svg

Crosses
B22 F22 D2' B22 F22 D22 L22 R22 U2' L22 R2' B22 F22 U22 B22 F22 U22 R2'

ProfXes.svg

Saltires

Profdiamondcheck.svg

Four diamond checkerboards.

Prof6diamondchecks.svg

Six diamond checkerboards.

Profdd.svg

Four diamonds.

Prof6diamonds.svg

Six diamonds.

Pyramorphix Patterns

Pyramorphix.svg
In the following, "F" means a turn of the red-yellow edge (if the Pyramorphix is held in the illustrated position, which of course it need not be). "L" means a turn of the red-blue edge, and "R" a turn of the yellow-blue edge.
Pyramorphix-dots.svg
F2 L2 R2 L2
Pyramorphix-all4.svg
(every face shows all four colours)
F2 L2 R2 F2


Impossible Patterns

Unfortunately, some desirable patterns turn out to be impossible. The two below were both featured as jokes on badges (captioned "Try this one!") in the 1980s.

Gallery

Sources

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