![]() There are many examples of iconic cubing things, but none are as omnipresent or as widely useful as algorithms. Commutative - it's not a necessary condition of the permutation group but notice that FB = BF but FR != RF.Inverse element - every permutation has an inverse permutation: ex.Neutral element - there is a permutation which doesn't rearrange the set: ex.Associative - the permutations in the row can be grouped together: ex.Below are the properties of the operations of this mathematical structure. In the introduction I have presented the Rubik's Cube as a permutation group. Mathematical properties of the algorithms R' D' R D - degree is 6 because we have to repeat the algorithm 6 times to return to the initial configuration. Every algorithm or permutation has a degree which is a finite number that shows how many times we have to execute the operation to return to the initial state. ![]()
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