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Encyclopedia > Pocket Cube
Solved Pocket Cube
Scrambled Pocket Cube
Pocket Cube with one side tilted

The Pocket Cube is the 2×2×2 equivalent of a Rubik's cube. The cube consists of 8 corner pieces, and no other types of cubies. Image File history File links Pocket_cube_solved. ... Image File history File links Pocket_cube_solved. ... Image File history File links Pocket_cube. ... Image File history File links Pocket_cube. ... Image File history File links Pocket_cube_tilt. ... Image File history File links Pocket_cube_tilt. ... Variations of Rubiks Cubes (from left to right: Rubiks Revenge, Rubiks Cube, Professors Cube, & Pocket Cube) Rubiks Cube (commonly misspelled rubix, rubicks or rubics cube) is a mechanical puzzle invented in 1974[1] by the Hungarian sculptor and professor of architecture Erno Rubik. ... Three dimensions A cube (or hexahedron) is a Platonic solid composed of six square faces, with three meeting at each vertex. ... Variations of Rubiks Cubes (from left to right: Rubiks Revenge, Rubiks Cube, Professors Cube, & Pocket Cube) Rubiks Cube (commonly misspelled rubix, rubicks or rubics cube) is a mechanical puzzle invented in 1974[1] by the Hungarian sculptor and professor of architecture Erno Rubik. ...

Contents

Permutations

Any permutation of the 8 corner cubies is possible (8 positions), and 7 of the cubies 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. The number of possible positions of the cube is Permutation is the rearrangement of objects or symbols into distinguishable sequences. ... A sphere rotating around its axis. ... Orientation can refer to different things. ...

frac{8!,3^7}{24}=7!,3^6=3674160

which factors as 24385171. Or simply 3,674,160 permutations. In number theory, the integer factorization problem is the problem of finding a non-trivial divisor of a composite number; for example, given a number like 91, the challenge is to find a number such as 7 which divides it. ...


The maximum number of turns required to solve the cube is up to 11 full turns, or up to 14 quarter turns. An optimal (least number of turns) solution from any position can be found by a computer with a brute force algorithm. In computer science, a brute-force search consists of systematically enumerating every possible solution of a problem until a solution is found, or all possible solutions have been exhausted. ...


The number f of positions that require n full twists and number q of positions that require n quarter turn twists are:

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 782536
13 90280
14 276

Solutions

One method of solving the Pocket Cube is to consider it as a simplified Rubik's Cube; that is, one with all the center and edge pieces removed. Thus, the Pocket Cube can be solved by any method used to solve the regular Rubik's Cube by disregarding all steps that specifically deal with the permutation or orientation of the edge pieces. However, since the Pocket Cube lacks center pieces, this version is regarded as a little bit trickier than the 3x3x3 version. Variations of Rubiks Cubes (from left to right: Rubiks Revenge, Rubiks Cube, Professors Cube, & Pocket Cube) Rubiks Cube (commonly misspelled rubix, rubicks or rubics cube) is a mechanical puzzle invented in 1974[1] by the Hungarian sculptor and professor of architecture Erno Rubik. ...


Records

Anthony Hsu, from the USA, and Mátyás Kuti, from Hungary hold the world record for the fastest time solving the pocket cube in competition, with a time of 3.55 seconds set at.


Anthony Hsu solved it in Trumbull, 2006.
Mátyás Kuti solved it on the German Open, in 2007.


Trivia

At Rubik's online store, an easier version of the Pocket Cube exists, dubbed the "Junior Cube." [1]. This version has only two colors, with a picture of a monkey on one layer.


See also

The Pyramorphix in its solved state. ... Variations of Rubiks Cubes (from left to right: Rubiks Revenge, Rubiks Cube, Professors Cube, & Pocket Cube) Rubiks Cube (commonly misspelled rubix, rubicks or rubics cube) is a mechanical puzzle invented in 1974[1] by the Hungarian sculptor and professor of architecture Erno Rubik. ... Rubiks Revenge in solved state Rubiks Revenge in scrambled state Rubiks Revenge with a tilted side The Rubiks Revenge is the 4×4×4 version of Rubiks Cube. ... The Professors Cube (also known as Rubiks Professor) is a mechanical puzzle invented by Udo Krell. ... Rubiks Cube being speedsolved. ...

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