A scrambled Pocket Cube
The Pocket Cube (also known as the Mini Cube) is the 2×2×2 equivalent of a Rubik's Cube. The cube consists of 8 pieces, all corners.
- 4World records
CLL three side view.gif. CLL is a 2x2 method where you make a layer, and then orient and permute the. How fast can I get with CLL? Do you have a PDF? Andy Klise’s 5x5x5 Guide. Most Algorithms by Pictures by Josef Jelinek r U’ r’ r U2 r’ r U r’ U r U2 r’ r’ F’ l’ r U r U’ l r’. No Parity x’ d (R. These are all of the cases solving the last two edges of a 5x5x5 using a reduction method. The algorithms are mostly from and Meep’s site.
History[edit]
Solved versions of, from left to right: original Pocket Cube, Eastsheen cube, V-Cube 2, V-Cube 2b.
In March 1970, Larry D. Nichols invented a 2×2×2 'Puzzle with Pieces Rotatable in Groups' and filed a Canadian patent application for it. Nichols's cube was held together with magnets. Nichols was granted U.S. Patent 3,655,201 on April 11, 1972, two years before Rubik invented his Cube.
Nichols assigned his patent to his employer Moleculon Research Corp., which sued Ideal in 1982. In 1984, Ideal lost the patent infringement suit and appealed. In 1986, the appeals court affirmed the judgment that Rubik's 2×2×2 Pocket Cube infringed Nichols's patent, but overturned the judgment on Rubik's 3×3×3 Cube.[1]
Permutations[edit]
Pocket cube with one side tilted
Any permutation of the eight corners is possible (8! positions), and seven of them can be independently rotated (37 positions). There is nothing identifying the orientation of the cube in space, reducing the positions by a factor of 24. This is because all 24 possible positions and orientations of the first corner are equivalent due to the lack of fixed centers. This factor does not appear when calculating the permutations of N×N×N cubes where N is odd, since those puzzles have fixed centers which identify the cube's spatial orientation. The number of possible positions of the cube is
The maximum number of turns required to solve the cube is up to 11 half or quarter turns, or up to 14 quarter turns only.[2]
The number a of positions that require nany (half or quarter) turns and number q of positions that require n quarter turns only are:
n | a | q | a(%) | q(%) |
---|---|---|---|---|
0 | 1 | 1 | 0.000027% | 0.000027% |
1 | 9 | 6 | 0.00024% | 0.00016% |
2 | 54 | 27 | 0.0015% | 0.00073% |
3 | 321 | 120 | 0.0087% | 0,0033% |
4 | 1847 | 534 | 0.050% | 0.015% |
5 | 9992 | 2256 | 0.27% | 0.061% |
6 | 50136 | 8969 | 1.36% | 0.24% |
7 | 227536 | 33058 | 6.19% | 0.90% |
8 | 870072 | 114149 | 23.68% | 3.11% |
9 | 1887748 | 360508 | 51.38% | 9.81% |
10 | 623800 | 930588 | 16.98% | 25.33% |
11 | 2644 | 1350852 | 0.072% | 36.77% |
12 | 0 | 782536 | 0% | 21.3% |
13 | 0 | 90280 | 0% | 2.46% |
14 | 0 | 276 | 0% | 0.0075% |
The two-generator subgroup (the number of positions generated just by rotations of two adjacent faces) is of order 29,160.[3]
Methods[edit]
A pocket cube can be solved with the same methods as a 3x3x3 Rubik's cube, simply by treating it as a 3x3x3 with solved (invisible) centers and edges. More advanced methods combine multiple steps and require more algorithms. These algorithms designed for solving a 2x2x2 cube are often significantly shorter and faster than the algorithms one would use for solving a 3x3x3 cube.
The Ortega method,[4] also called the Varasano method,[5] is an intermediate method. First a face is built (but the pieces may be permuted incorrectly), then the last layer is oriented (OLL) and lastly both layers are permuted (PBL). The Ortega method requires a total of 12 algorithms.
The CLL method[6] first builds a layer (with correct permutation) and then solves the second layer in one step by using one of 42 algorithms.[7] A more advanced version of CLL is the TCLL Method also known as Twisty CLL. One layer is built with correct permutation similarly to normal CLL, however one corner piece can be incorrectly oriented. The rest of the cube is solved, and the incorrect corner orientated in one step. There are 83 cases for TCLL, however algorithms have not been generated for solving all of them.[8]
The most advanced method is the EG method.[9] It also starts by building a layer (in any permutation), but then solves the rest of the puzzle in one step. It requires knowing 128 algorithms, 42 of which are the CLL algorithms.
World records[edit]
Vicente Albíter of Mexico solving it in 1.55 seconds at the Mexican Open 2008
The world record fastest solve is 0.49 seconds, set by Maciej Czapiewski of Poland on 20 March 2016 at Grudziądz Open 2016 in Grudziądz, Poland.[10]
The world record average of 5 solves (excluding fastest and slowest) is 1.21 seconds, set by Martin Vædele Egdal of Denmark on 21 October 2018 at Kjeller Open 2018, in Kjeller, Norway, with the times (1.06), 1.09, (1.64), 1.47, and 1.07 seconds.[10]
Top 5 solvers by single solve[11][edit]
Name | Fastest solve | Competition |
---|---|---|
Maciej Czapiewski | 0.49s | Grudziądz Open 2016 |
Sameer Aggarwal | 0.51s | Puget Sound Spring 2019 |
Michał Rzewuski | 0.52s | Grudziądz Open 2016 |
Jody Jones | 0.53s | Koalafication Melbourne 2019 |
Abraham Torres Ortíz Aguirre | 0.54s | ArCubingFest 2018 |
Top 5 solvers by average of 5 solves[12][edit]
Name | Average | Competition |
---|---|---|
Martin Vædele Egdal | 1.21s | Kjeller Open 2018 |
Will Callan | 1.23s | CubingUSA Nationals 2019 |
Jiazhou Li (李佳洲) | 1.25s | Xi'an Cherry Blossom 2019 |
Advay Sant | 1.31s | Oculus Cube Open 2019 |
Zayn Khanani | 1.34s | ODU Big Blue Spring 2019 |
See also[edit]
- Rubik's Cube (3×3×3)
- Rubik's Revenge (4×4×4)
- Professor's Cube (5×5×5)
- V-Cube 6 (6×6×6)
- V-Cube 7 (7×7×7)
- V-Cube 8 (8×8×8)
References[edit]
- ^'Moleculon Research Corporation v. CBS, Inc'. Digital-law-online.info. Retrieved 2012-06-20.
- ^Jaapsch.net: Pocket Cube
- ^http://sporadic.stanford.edu/bump/match/morepolished.pdf
- ^Ortega method tutorial by Bob Burton
- ^What is Varasano?
- ^What is CLL?
- ^CLL tutorial by Christopher Olson
- ^What is Twisty CLL?
- ^Description of the EG method
- ^ abWorld Cube AssociationOfficial Results - 2x2x2 Cube.
- ^
- ^
External links[edit]
Retrieved from 'https://en.wikipedia.org/w/index.php?title=Pocket_Cube&oldid=932081462'
The first stage of CLL for the 2x2x2 consists of and permutation) as in the Layer -By-Layer method. Then. Speedcubing Algorithms for CLL, EG-1 and EG Sune Cases. R U R’ U R U2 R’. U’ L’ U R2 U’ L U2 R’ U’ R2. R U’ L’ U R’ U’ L. U’ B’ U L2 F2 U F’. U2 F R2. Also, is it best to learn CLL one set at a time? By that I mean is it most efficient to learn the Sune algs, then Antisune, then T, and so on?.
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Commissions for work are also not allowed. I’m in no rush to learn and am planning on memorizing one, maybe two algs per day, but I’m not sure what to do while I learn them. Self promotion youtube videos, books, apps, etc is allowed once per week. PBL In the third and final step, you’ll permute both layers.
PurpleBanana Member Apr 8, By that I mean is it most efficient to learn the Sune algs, then Antisune, then T, and so on? How much do you try and “force” a layer to get a CLL case?
2×2 cll algs in pdf format? | SpeedSolving Puzzles Community
Here is a link to the HD Method Guideit includes a linked algsheet and goes into much more detail than what’s given here. Forums New posts Search forums. If it can’t always be one-looked not worth it. The first stage of CLL for the 2x2x2 consists of completely solving one layer of the cube both orientation and permutation as in the Layer-By-Layer method.
It must directly relate to the content of your post. This includes topics addressed in the wiki”Mail day pictures” containing only WCA puzzles, PB posts, and questions that can be answered quickly.
Neuro Member Jul 10, This can save a good half a second. Honestly if you learn how to one-look the solve sub-3 is achievable. If you are already a member, simply login to hide this message and begin participating in the community! Friends who love to louis vuitton replica explore the movement may louis vuitton replica be more concerned within this table equipped with hermes replica 14 new patents movement, the movement of omega replica the plate winding road hermes replica through the box wall thickness reduction, drive train of “overlay” design and new design louis vuitton replica patent Chronergy escapement, achieve significant energy savings, the power reserve to 70 hours.
For a better experience, please enable JavaScript in your browser before proceeding. Wiki tools Special pages. Hopefully I can still help you out. Like I said, I’m not in any rush to learn. This includes “X store is now selling this cube! Here are the example solves from the original post: Nothing more, nothing less. Thread starter Neuro Start date Jun 27, Categories 2x2x2 2x2x2 methods 2x2x2 speedsolving methods 2x2x2 substeps 3x3x3 last layer substeps Acronyms.
Welcome to Reddit, the front page of the internet. How To Solve a 3x3x3? The only problem is I’m really not sure how to approach learning it. You are currently viewing our forum as a guest which gives you limited access to join discussions and access our other features.
For two of them, you can use PLLs that work on the 3×3. Learning to solve the 2×2 using the Ortega method requires very few algorithms and you probably already know most of them.
I personally think my method of sune and antisune recognition is the best and easiest to learn and progress with.
2×2 cll algs in pdf format?
The Ortega Method is an intermediate 2×2 slgorithms. In terms of the overall level of breitling replica sophistication, compared with movement chronometer certification COSC precision timepieces than twice. Want to know which cube is right for you? Joined Mar 13, Messages Likes I wouldn’t use this because I can’t one look it, and It’s 2 algs every time, just too slow compared to other methods.
Although it isn’t well known by any algorithsm, I think it’s far better than any other system. NLL- While this name is somewhat inaccurate, it solves the cube in 36 algs This method is able to achieve some crazy singles and still has similar efficiency to CLL and it’s variants while having significantly less algorithms!
HD Method (2×2, alternative to CLL+) | SpeedSolving Puzzles Community
Algoritums to Ortega, the corners do NOT need to be permuted 2: Chris Olson has good recognition and execution videos and I would just follow them. Neuro said it would produce similar times, which I just don’t believe is true, so I don’t believe it’s useful to learn this instead of CLL, because you are just setting yourself back if you want to get fast.
Joined Mar 24, Messages Likes 0. Which NLL set should I learn next? Face 1 The first step is to just solve any face. While there are officially 3 steps, it really boils down to 2 and the second step has almost instant recognition for advanced users.
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If you are not color neutral for solving the 2×2, you should make it a priority. Definitely learn them one set at a time.
I am simply a proponent and alg genner, as was the other main “creator” the method Shiv3r. First Prev 11 of 13 Go to page.
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