# Difference between revisions of "Rubik's Cube Fact sheet"

From Speedsolving.com Wiki

(finally realized that without specifying a metric these are meaningless) |
|||

Line 16: | Line 16: | ||

* There are 7! * 3^6 or 3,674,160 positions to this cube. It is equivalent to solving only the corners of the Rubik's Cube. | * There are 7! * 3^6 or 3,674,160 positions to this cube. It is equivalent to solving only the corners of the Rubik's Cube. | ||

* A 2x2x2 cube has just 8 pieces, all corner pieces, and a total of 24 tiles. Most mechanisms have a number of hidden internal pieces as well. | * A 2x2x2 cube has just 8 pieces, all corner pieces, and a total of 24 tiles. Most mechanisms have a number of hidden internal pieces as well. | ||

− | * The 2x2x2 cube can always be solved in 11 | + | * The 2x2x2 cube [https://www.jaapsch.net/puzzles/cube2.htm can always be solved] in 11 face turns or fewer, or in 14 quarter turns or fewer. |

* The current single solve World Record is 0.49 seconds, by [https://www.worldcubeassociation.org/results/p.php?i=2014CZAP01 Maciej Czapiewski] and the average of 5 record is 1.51 seconds by [https://www.worldcubeassociation.org/results/p.php?i=2011ETTE01 Lucas Etter]. | * The current single solve World Record is 0.49 seconds, by [https://www.worldcubeassociation.org/results/p.php?i=2014CZAP01 Maciej Czapiewski] and the average of 5 record is 1.51 seconds by [https://www.worldcubeassociation.org/results/p.php?i=2011ETTE01 Lucas Etter]. | ||

Line 24: | Line 24: | ||

* The 4x4x4 has 7! * 3^6 * (24!)^2 / (4!)^6 positions. This is about 7.4 * 10^45. | * The 4x4x4 has 7! * 3^6 * (24!)^2 / (4!)^6 positions. This is about 7.4 * 10^45. | ||

* There are 56 pieces on this cube: 8 corner pieces, 24 edge pieces, and 24 center pieces. There are also some number of hidden internal pieces, depending on the brand. The 4x4x4 cube has a total of 96 stickers. | * There are 56 pieces on this cube: 8 corner pieces, 24 edge pieces, and 24 center pieces. There are also some number of hidden internal pieces, depending on the brand. The 4x4x4 cube has a total of 96 stickers. | ||

− | |||

* The 4x4x4 supercube, the cube where all center pieces are distinguishable, is the only n x n x n supercube where the [[permutation]] of the edge pieces is completely independent of the rest of the cube. | * The 4x4x4 supercube, the cube where all center pieces are distinguishable, is the only n x n x n supercube where the [[permutation]] of the edge pieces is completely independent of the rest of the cube. | ||

* The current single solve record is 21.54 seconds by [https://www.worldcubeassociation.org/results/p.php?i=2009ZEMD01 Feliks Zemdegs], and the average of 5 record is 25.53 seconds by [https://www.worldcubeassociation.org/results/p.php?i=2012PARK03 Max Park]. | * The current single solve record is 21.54 seconds by [https://www.worldcubeassociation.org/results/p.php?i=2009ZEMD01 Feliks Zemdegs], and the average of 5 record is 25.53 seconds by [https://www.worldcubeassociation.org/results/p.php?i=2012PARK03 Max Park]. | ||

Line 33: | Line 32: | ||

* The 5x5x5 has 12! * 8! * 2^10 * 3^7 * (24!)^3 / (4!)^12 positions. This is about 2.83 * 10^74. | * The 5x5x5 has 12! * 8! * 2^10 * 3^7 * (24!)^3 / (4!)^12 positions. This is about 2.83 * 10^74. | ||

* There are 99 pieces on this cube: one core, 8 corners, 36 edges, and 54 centers. There are also a total of 150 stickers. | * There are 99 pieces on this cube: one core, 8 corners, 36 edges, and 54 centers. There are also a total of 150 stickers. | ||

− | |||

* The current single solve record is 41.27 seconds by [http://www.worldcubeassociation.org/results/p.php?i=2009ZEMD01 Feliks Zemdegs], and the average of 5 record is 49.32 seconds also by [http://www.worldcubeassociation.org/results/p.php?i=2009ZEMD01 Feliks Zemdegs]. | * The current single solve record is 41.27 seconds by [http://www.worldcubeassociation.org/results/p.php?i=2009ZEMD01 Feliks Zemdegs], and the average of 5 record is 49.32 seconds also by [http://www.worldcubeassociation.org/results/p.php?i=2009ZEMD01 Feliks Zemdegs]. | ||

[[Category:Puzzle theory]] | [[Category:Puzzle theory]] |

## Revision as of 05:07, 27 May 2017

## 3x3x3 Rubik's Cube facts

Here are some 3x3x3 Rubik's cube facts:

- It was originally known as the Magic Cube.
- It was invented by Ernö Rubik of Hungary in 1974, first patented in 1975, and first released in 1977.
- Over 300 million Rubik's Cubes and imitation cubes have been sold worldwide, making it the best-selling toy ever.
- There are 43,252,003,274,489,856,000 ways a cube can be scrambled - that's 12! * 8! * 2^10 * 3^7, 4.3 * 10^19 or 43 quintillion positions! To give you an idea of how big that number is, if there were one cube scrambled for every legal position, they would cover the surface of the earth about 150 times!
- The number of unsolved configurations on a Rubik's cube is a prime number.
- A normal cube has 21 pieces, consisting of one core, 8 corners, and 12 edges, and a total of 54 stickers.
- There exist computer optimal solvers of the Rubik's Cube, and all checked positions have had a solution of 20 moves or fewer, with a small number of positions (such as the superflip) having an optimal solution of 20 moves. An international team consisting of Tomas Rokicki, Herbert Kociemba, Morley Davidson, and John Dethridge proved that all positions can be solved in 20 or fewer moves, so the exact upper bound is 20.
- The first official World Record for solving the Rubik's Cube was 22.95 seconds by Minh Thai; the current single solve record is 4.73 by Feliks Zemdegs, and the average of 5 record is 6.45 seconds, also held by Feliks Zemdegs.

## 2x2x2 Cube facts

Here are some 2x2x2 Cube facts:

- The official name for this cube is the Pocket Cube or Mini Cube.
- Rubik patented the design for this cube in 1983.
- There are 7! * 3^6 or 3,674,160 positions to this cube. It is equivalent to solving only the corners of the Rubik's Cube.
- A 2x2x2 cube has just 8 pieces, all corner pieces, and a total of 24 tiles. Most mechanisms have a number of hidden internal pieces as well.
- The 2x2x2 cube can always be solved in 11 face turns or fewer, or in 14 quarter turns or fewer.
- The current single solve World Record is 0.49 seconds, by Maciej Czapiewski and the average of 5 record is 1.51 seconds by Lucas Etter.

## 4x4x4 Cube facts

Here are some 4x4x4 Cube facts:

- The official name for this cube is Rubik's Revenge, although it was invented not by Rubik but by Péter Sebestény.
- The 4x4x4 has 7! * 3^6 * (24!)^2 / (4!)^6 positions. This is about 7.4 * 10^45.
- There are 56 pieces on this cube: 8 corner pieces, 24 edge pieces, and 24 center pieces. There are also some number of hidden internal pieces, depending on the brand. The 4x4x4 cube has a total of 96 stickers.
- The 4x4x4 supercube, the cube where all center pieces are distinguishable, is the only n x n x n supercube where the permutation of the edge pieces is completely independent of the rest of the cube.
- The current single solve record is 21.54 seconds by Feliks Zemdegs, and the average of 5 record is 25.53 seconds by Max Park.

## 5x5x5 Cube facts

Here are some 5x5x5 Cube facts:

- The official name for this cube is the Professor's Cube, and it was invented not by Rubik but by Udo Krell.
- The 5x5x5 has 12! * 8! * 2^10 * 3^7 * (24!)^3 / (4!)^12 positions. This is about 2.83 * 10^74.
- There are 99 pieces on this cube: one core, 8 corners, 36 edges, and 54 centers. There are also a total of 150 stickers.
- The current single solve record is 41.27 seconds by Feliks Zemdegs, and the average of 5 record is 49.32 seconds also by Feliks Zemdegs.