Notation
The six faces of the cube: up, down, left, right, front, back.
90o clockwise moves of the faces are described as U, D, L, R, F, B
90o anti-clockwise moves are described as U', D', L', R', F', B'
180o turns are described as U2, D2
, L2, R2, F2, B2
Middle layer turns are described as:
90o clockwise move of the layer between top and bottom face: Ts (the s stands for slice)
90o clockwise move of the layer between left and right face: Rs
90o clockwise move of the layer between front and back face: Fs
90o anticlockwise move of the layer between top and bottom face: Ta (the s stands for antislice)
90o anticlockwise move of the layer between left and right face: Ra
90o anticlockwise move of the layer between front and back face: Fa
Moves in brackets with a superscript figure have to be executed as many times as the
superscript figure indicates. For example (RL)2 is the same as RL RL.
Pretty Patterns
Sent in Wed, 23 Dec 1999 by Ronald Flettermann
- B' D' U L' R B' F U (8f*)[Six spot, six O's]
- F L' R B' R2 F D' U L' F2 R U' (12f*)[Six U's]
- L2 F R B' U2 F U' R U' R' D' R U L' B U' (16f*)[Twisted chicken feet]
- F D R' U' B' L' R' U L2 F L' B L B2 F D R' (17f*)[Exchanged chicken feet]
- F D F' D2 L' B' U L D R U L' F' U L U2 (16f*)[Twisted rings]
- R2 B2 U' B2 F2 U R' D U' B' L2 B D' U R' (15f*)[Exchanged rings]
- B R D' R' B' F D F' D' U L F L' U' (14f*)[Snake, species Anaconda]
- F' R U2 L' B F U B2 R' U R2 D' R2 U' L' U (16f*)[Plummer's bend]
- U L2 D R B' R B' R B' D' L2 U R2 F2 U2 (15f*)[Cube within the cube]
- B R2 U' R U B2 R B U' L' U2 B' L' B L2 U' (16f*)[Four-way street]
- R2 D U' L D' L2 R B R2 U B U R' F' D' F U' (17f*)[Twisted duck feet]
- B R' B2 D' F' R2 F U2 B2 U' R' D F R2 F' U' (16f*)[Exchanged duck feet]
- F U' B' F' D U L' F2 D2 F2 D2 R B' F' U2 R U' (17f*)[Plummer's cluster & girdle 3-cycle]
- B2 D' L2 R D2 U B2 D F' L' R F D2 F' D L' F R' (18f*)[Christmas' cluster & girdle]
- U B' R B R' F' U F R' F' R U' F U' (14f*)[Twisted cube's edges, orthogonal bars]
- B F2 D' R2 F D B' F D' U F' D' L2 F D2 U' (16f*)[Plummer's cross]
- U' F2 U2 L' R F2 U2 F2 L R' U' (11f*)[Christmas' cross]
- B' U F2 D2 B' D' R U' L2 D U F D L B' F U' (17f*)[Plummer's Y's]
- B2 F2 L2 R2 D2 U2 (6f*)[Pons asinorum]
- D2 U F' L2 D F L' R B' F L' U' F2 L D' U2 (16f*)[Checkerboard of order 3]
- L2 R2 U B L2 D' B2 F L' R B F' R D F2 L' U' (17f*)[Checkerboard of order 6]
- U L2 D F D' B' U L' B2 U2 F U' F' U2 B' U' (16f*)[Two twisted peaks]
- F2 R2 D R2 D U F2 D' R' D' F L2 F' D R U' (16f*)[Two exchanged peaks]
- U B' U F' R F R' U' B R F' R' F U' (14f*)[Plummer's rabbits]
- D' B2 D F D' L D2 F2 D2 B' L2 F U2 B' D U' R' U' (18f*)[Meson & girdle 3-cycles]
- U2 L2 R' B' R2 U' R' D R F2 L R' F D L2 U2 (16f*)[Plummer's C's]
- B2 U F U' R2 U' R B R2 B' R' U B2 U F' U' (16f*)[Meson & girdle 3-cycle]
- D R2 D' R' B' F U' R2 U B F' R U' F2 R2 U' (16f*)[Edge hexagon of order 2]
- U B D R D2 U2 F D2 U2 B' R' D' B' U' (14f*)[Edge hexagon of order 3]
- D' R U2 B' U2 R' D U' B D2 R D2 B' U (14f*)[Off-girdle 3-cycles]
- U R2 D F' L D2 U2 R' D2 U2 F D' R2 U' (14f*)[Distorted off-girdle 3-cycles]
- B R2 B' U L2 U' B R2 B' U L2 U' (12f*)[Meson]
- U B L' U2 L B' F U' R2 U F' U' (12f*)[Girdle 3-cycle]
- U R U D' F2 U' D R U' (9f*)Distorted girdle 3-cycle]
Sent in by Martin Grant
Key:
W=White B=Blue O=Orange G=Green R=Red Y=Yellow
cl=clockwise cc=counterclockwise/anticlockwise ht=half turn
Look directly at the face then rotate it in the indicated direction.
Here are some patterns:
H-Cube (probably not ideal)
WWW
WWW
WWW
BGBOROGBGROR
BBBOOOGGGRRR
BGBOROGBGROR
YYY
YYY
YYY
Bht Ght Wcl Ycc Oht Rht Wcl Ycc Oht Rht Ght Oht Ght Rht Bht Oht Ght Rht
Bht Oht Ght Rht
I-Cube
WWW
WWW
WWW
BBBOOOGGGRRR
GBGRORBGBORO
BBBOOOGGGRRR
YYY
YYY
YYY
Bht Ght Wcl Ycc Oht Rht Wcc Ycl
HI-Cube (this found by me, probably not ideal)
WWW
WWW
WWW
BGBOOOGBGRRR
BBBRORGGGORO
BGBOOOGBGRRR
YYY
YYY
YYY
Bht Ght Wcl Ycc Oht Rht Wcl Ycl Oht Wht Rht Yht Oht Wht Rht Yht Oht Wht
Rht Wht Yht
Single Checkerboard (this found by me)
WYW
YWY
WYW
BBBOOOGGGRRR
BBBOOOGGGRRR
BBBOOOGGGRRR
YWY
WYW
YWY
Bht Oht Ght Rht Bht Oht Ght Rht Bht Oht Ght Rht
(I'm sorry if I couldn't get it in your format, I got this from a Word
document that I created)
--Martin Grant
2-X = (F2R2B2L2)3
4+ = (FaRa)3(RaFa)3
4 spot = R2sUsF2sUs
4-Z = (FaRa)3U2a
Sent in Sun, 11 Jan 1998 22:24:38 -0500 by Aaron Scott
4 Cross 2 checkerboard : ( R L3 U2(s) ) *2
R3 U2(s) R3 F2(s) R3 U2(s) R3 F2(s) R3 U2(s) R3 F2
Sent in Fri, 12 Dec 1997 10:37:37 -0500 (EST) by burkhardt erich
- Superflip = F2sLF2UsR2BR2sF'L2U'sB2LFaUaRaFaUa (Superflip flips all two-color pieces, i.e. non-corners)
- Cube within a Cube = F'U'BU2B'URU2R'FaDF'D2FD'L'D2LB'
- Worm = RUF2D'RsFsD'F'R'F2RU2FR2F'R'U'F'U2FR
- Snake = BRsD'R2DR'sB'R2UB2U'sR2D'
Sent in Sat, 22 Nov 1997 21:03:18 -0500 by Aaron Scott
- Diagonals = RLBFLRFBRLBF
- 4-H = RLBFLRFBRLBFFBRLBFLRFBRLU2(s)
- 6-OX = R(s)F(s)R(a)F(a)U2(s)R2(s)F2(s)
- 4-1 = (F2R2B2L2)3 R2(s)F2(s)
- 4-X = U2(s)R2(s)F2(s) (F2R2B2L2)3
- 4-O = R(a)F(a)U(s)R(s)F(s)U(a)
- 4-I = R(a)F(a)U(s)R(s)F(s)U(s)
- 4-H + 2-X = R(a)F(a)U(s)R(s)F(s)U(a)R2(s)F2(s)
- 2-cross, 2-1, + 2-H = R(a)F(a)U(s)R(s)F(s)U(s)R2(s)
- Snake eyes = (L2F2)3
- 4-1 + 2-X = R2(s)F2(s)
- 4-X + 2-I = R(a)F(a)U(s)R(s)F(s)U(s)R2(s)DUF2(s)U'D'R2(s)F2(s)
- 2-cross + 2-line = R(a)F(a)U(s)R(s)F(s)U(s)R2(s)DUF2(s)U'D'
- HI = (L2D2)3 (D2R2)3 (U2F2)3 (F2D2)3
- 6-I = (L2D2)3 (D2R2)3 (F2D2)3 (D2B2)3 (L2F2)3 (F2R2)3
- 2-I = (L2D2)3 (D2R2)3
- Crosses = RLBFLRFBRLBFFBRLBFLRFBRL
- Crosses + Xs = RLBFLRFBRLBFFBRLBFLRFBRL (F2R2B2L2)3
- 4-I + 2-X = RLBFLRFBRLBFFBRLBFLRFBRLR2(s)F2(s)
- 4-O + 2-X = RLBFLRFBRLBFFBRLBFLRFBRLR2(s)F2(s)U2(s)
- 2-X, 2-O, + 2-crosses = RLBFLRFBRLBFFBRLBFLRFBRLR2(s)F2(s)U2(s) (D2R2U2L2)3
Hi, this is Aaron Scott from Augusta, Georgia. I am thirteen and in eighth grade. I made most of these patterns or found that others have already found them. If you're wondering how I got so many, I have a lot of spare time like people always assume. I can solve the cube in 1minute and 50 seconds and the last part with my eyes closed. It's not as hard as it seems. If you know what to do, it is easy. I learned over the summer on a website that you could print up.
While writing the patterns I wrote what I thought best described the pattern. + (plus) means and . When there is an I or and H, you can flip it to make it look like the other letter. Please write to me and tell me what you think about the patterns.
Sent in at Wed, 01 Oct 1997 17:00:30 -0700 by Hsien Wong
6-T= (L'RD2)2(F2U2)3
6-P = LRD2L2R2F2LR
A different 6-P: R2D2F2U2(L2U2)2
4-P: D2L'RF2L'R'
Sent in at 23:46 15/06/1997 +0200 by Mete Ciragan
6 O = R(s) F(s) R(a) F(a)
Sent in Tue, 18 Mar 1997 22:21:07 -0800 by Josh (optimus@galstar.com)
6 X = T2s R2s F2s
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