MULTIPERSON RUBIKS CUBE TIMER SOFTWARE
It supports scrambles of many types of puzzles include all the WCA's official puzzle It integrated with Xcross solver and eoline solver It supports time statistics, multi-phase timming and several functions supported by other similar software such as: 15s' inspection defined by WCA, etc. If you are willing to help translating cstimer into your native language, please contact meĬsTimer is designed for speedsolving cuber.
MULTIPERSON RUBIKS CUBE TIMER PROFESSIONAL
Joyner - Mathematics of the Rubik's Cube.CsTimer version 2015.12.12 - Professional Speedcubing/Training TimerĮnglish 简体中文 Español Français Magyar Italiano 한국어 Nederlands Tiếng Việt Português If you're interested I recommend you to read the paper of W. This was just a very short introduction in the Mathematics of the Rubik's Cube, you can find much more interesting material about this topic. If you don't understand what the letters mean in the previous explication please read the notation.
The group of all permutations of a set is the symmetric group. In math a permutation group is a group whose elements are permutations of ordered list, and whose group operation is the permutations which rearrange the set in a certain way. Now lets see why the Rubik's Cube is a permutation group. On the picture below you can see how a D rotation rearranges the elements of our list. Repeating and combining these permutations we can define new permutations, which rearrange the list in an other way. We can rotate the 6 faces of the cube so we can define 6 basic operations or permutations which rearrange the ordered list in a certain way. It has 6 different colors and each color is repeated exactly 9 times, so the cube can be considered as an ordered list which has 54 elements with numbers between 1 and 6, each number meaning a color being repeated 9 times. Mathematically the Rubik's Cube is a permutation group. We've written a separate article about the God's Number.
Then this number was gradually decreasing. The first estimation of the God's Number was 52 moves in July 1981. This means that we have found the solution of the "Superflip" scramble in 20 moves:
This number was calculated thanks to Google who donated 36 CPU-years of idle computer time, solving every position of the Rubik's Cube in less than 21 moves. Since July of 2010 we know that this number is 20, so every position can be solved in twenty moves or less, considering one move a 90 o or 180 o twist of any face. God's Number shows the smallest number of moves needed to solve the 3x3x3 Rubik's Cube from any random starting position. To illustrate this number, if we had as many 6 centimeter large Rubik's Cubes as there are permutations, we could cover the surface of the Earth 300 times.įor a 7x7x7 Cube this number is about 1.95 * 10 160 roughly 19.5 duoquinquagintillion. The classic 3x3x3 has much more possible patterns: approximately 43 quintillion (exactly 43 quintillion, 252 quadrillion, 3 trillion, 274 billion, 489 million, 856 thousand). This strategy wouldn't work neither for a 2x2x2 cube. Even a 2x2x2 Pocket Cube has 3.674.160 possible permutations. There are so many possible states of a 3x3x3 Rubik's Cube you could never finish solving it just turning the faces randomly. "I just rotate the faces randomly until it is solved" - he said.
He was sure about that he is able to solve it because it seemed so easy for him. Once I met somebody who has never played with the Rubik's Cube. It took a month to find the first solution of the Magic Cube despite almost every student was searching for it at the Budapest College of Applied Arts where the inventor, Rubik Erno was a professor back in 1974. Fortunately most of these have been answered like what is the minimum amount of moves needed to solve it from any starting position or what is the number of possible permutations, and the list goes on.Īfter it had been invented nobody could solve it and they weren't even sure that a human being is able to unjumble it at all. There are some serious questions about the mathematics of the Rubik's Cube. Home » Rubik's Cube » Mathematics of the Rubik's Cube - Permutation Group Mathematics of the Rubik's Cube