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[[File:Pocket Cube size comparison.jpg|thumb|right|400px|From left to right: original Pocket Cube, Eastsheen cube, V-Cube 2, V-Cube 2b.]]
The '''Pocket Cube''' (also known as the '''Mini Cube''' or the '''Ice Cube''') is the 2×2×2 equivalent of a [[Rubik's Cube]]. The [[cube (geometry)|cube]] consists of 8 pieces, all corners.


==Permutations==
Should you beloved this information in addition to you would like to receive more information regarding [http://circuspartypanama.com Clash Of Clans hack android] generously check out our page. Only Supercell, by allowing the actual illusion on the multi-player game, taps into you're instinctual male drive as a way to from the status hierarchy, and even though it''s unattainable to the surface of your hierarchy if you do not have been logging in daily because the game arrived on the scene plus you invested fundamental money in extra builders, the drive for getting a small bit further forces enough visitors to fork over a real income over virtual 'gems'" that game could be the top-grossing app within the Iphone app Store.<br><br>Video gaming are very well-liked numerous homes. The majority of people perform online online games to pass through time, however, some blessed people are paid to experience clash of clans sur pc. Video gaming is going to just be preferred for some your time into the future. These tips will help you if you are looking to try out online.<br><br>Using Clash of Clans Hacks (a brilliant popular social architecture and arresting striking by Supercell) participants could well acceleration up accomplishments as an example building, advance or education and learning troops with gems that can bought for absolute resources. They're basically monetizing the valid player's impatience. Every amusing architecture daring I apperceive of manages to do it.<br><br>You might be looking Conflict of Tourists Jewels Free, or your are just buying a Compromise Conflict of Tribes, right now the smartest choice during the internet, absolutely free as well as only takes a short while to get all many.<br><br>That tutorial will guide you through your first few raids, constructions, and upgrades, but youre left to private wiles pretty quickly. Your buildings take real time to construct and upgrade, your army units historic recruit, and your supplier buildings take time to generate food and gold. Like all of its just genre cousins, Throne Rush is meant to took part in multiple short bursts exactly like. This type of obsessive gaming definitely works more beneficial on mobile devices will be always with you which allows you to send push notifications when timed tasks are carried out. Then again, the success of a lot of hit Facebook games over the years indicates that people consult Facebook often enough to make short play sessions operate there too.<br><br>To conclude, clash of clans hack tool no survey must not be accepted to get in during of the bigger question: what makes we this site? Putting this aside an of great importance. It replenishes the self, provides financial security coupled with always chips in.
{{multiple image
| align    = right
| direction = vertical
| width    = 190
| image1    = Pocket cube solved.jpg
| width1    = 185px
| image2    = Pocket cube scrambled.jpg
| width2    = 185px
| image3    = Pocket cube twisted.jpg
| width3    = 185px
| footer    = Pocket Cube in different forms. From top (to bottom):<br>i. Solved pocket cube.<br>ii. Scrambled pocket cube.<br>iii.Pocket cube with one side tilted.
}}
Any [[permutation]] of the eight corners is possible (8[[factorial|!]] positions), and seven of them can be independently [[rotation|rotated]] (3<sup>7</sup> positions). There is nothing identifying the [[orientation (geometry)|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
 
:<math>\frac{8! \times 3^7}{24}=7! \times 3^6=3,674,160.</math>
 
The maximum number of turns required to solve the cube is up to 11 full turns, or up to 14 quarter turns.<ref name="Jaapsch">[http://www.jaapsch.net/puzzles/cube2.htm Jaapsch.net: Pocket Cube]</ref>
 
The number ''f'' of positions that require ''n'' full twists and number ''q'' of positions that require ''n'' quarter turn twists are:
 
{| class="wikitable" style="margin: 1em auto; text-align:right;"
|- style="text-align:center;"
!''n''
!''f''
!''q''
|-
|0
|1
|1
|-
|1
|9
|6
|-
|2
|54
|27
|-
|3
|321
|120
|-
|4
|1847
|534
|-
|5
|9992
|2256
|-
|6
|50136
|8969
|-
|7
|227536
|33058
|-
|8
|870072
|114149
|-
|9
|1887748
|360508
|-
|10
|623800
|930588
|-
|11
|2644
|1350852
|-
|12
|0
|782536
|-
|13
|0
|90280
|-
|14
|0
|276
|}
 
For the miniature (2 × 2 × 2) Rubik’s cube, the two-generator subgroup (the number of positions generated just by rotations of two adjacent faces) is of order 29,160. <ref>http://sporadic.stanford.edu/bump/match/morepolished.pdf</ref>
 
==Records==
[[File:1.55.jpg|thumb|right|200px|Vicente Albíter of [[Mexico]] solving it in 1.55 seconds at the ''Mexican Open 2008'']]
Christian Kaserer holds the current world record of solving the Pocket Cube in competition, with a time of 0.69 seconds set at the Trentin Open 2011, using only four turns to solve the cube.<ref>[http://www.youtube.com/watch?v=2227ulrNcew YouTube - 2x2 single world record 0.69 Christian Kaserer]</ref><ref name="Official Results - 2×2×2 Cube">[[World Cube Association]] [http://www.worldcubeassociation.org/results/regions.php?eventId=222 Official Results - 2×2×2 Cube].</ref> For the best average time of 5 solves, Christopher Olson holds the world record with a time of 1.71 seconds, which was set at Cubetcha 2013. His record was debated for a brief time, due to the possibility of an unfair inspection time. However, the World Cube Association decided to agree with delegate Bryan Logan, the judge of Chris's attempts, who allowed the solve to be completed and counted, granting Chris the world record. <ref>{{cite web|title=Incident at Cubetcha 2013|url=https://www.worldcubeassociation.org/forum/viewtopic.php?f=9&t=1082|publisher=World Cube Association}}</ref>
 
==Variants==
At Rubik's online store, an easier version of the Pocket Cube exists, dubbed the "Junior Cube". This version has only two colors, with a picture of a monkey on one face.
 
The Rubik's Ice Cube is a version of the Pocket Cube with transparent plastic and translucent stickers. It comes with a clear blue, ice-like display base.
 
The Eastsheen company produces a variation as well. It has a different turning mechanism and is noticeably larger ({{convert|5|cm|in|abbr=on}}) than the original.
 
Verdes Innovations has released the V-Cube 2, which is available in two shapes. The flat-sided V-Cube 2 is roughly the same size as the Eastsheen cube. The V-Cube 2b has a rounded shape like the [[V-Cube 7]].
 
Another two common variations particularly in [[speedcubing]] is WitEden's Wittwo cube, and Shengshou's pocket cube. These cubes adopt an inner 3x3 core with smaller edges. These edges are hidden by the much larger corners which form the outside of the puzzle. This resembles the structure of the V-Cube 6, which has a similar design.
 
==Methods==
The most common beginner method is a layer-by-layer solution, similar to solving a 3x3.
Popular methods among speedcubers are '''Ortega''' or '''Guimond''', which orient both layers separately and permute them together, '''CLL''', which solves the cube in one algorithm after the first layer is complete, and '''EG''', which extends CLL with additional algorithms to solve the cube in one algorithm after one face is oriented.
 
==See also==
[[File:PocketCube (small).gif|thumb|right|Pocket Cube animation.]]
* [[Pyramorphix]], a pyramidal puzzle that uses the same mechanism
* [[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)
* [[Speedcubing]]
* [[Combination puzzles]]
 
==References==
{{Reflist}}
 
==External resources==
[http://www.speedsolving.com/wiki/index.php/2x2x2_Speedsolving_Methods Information about methods for speedsolving the 2x2x2]
{{Rubik's Cube}}
 
[[Category:Rubik's Cube]]
[[Category:Combination puzzles]]
[[Category:Mechanical puzzles]]
[[Category:Puzzles]]

Latest revision as of 08:41, 25 December 2014

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