Doing either one 3 times will bring the cube back to its original state and executing either one once will make the case that the other one solves. They are used when all the corners are permuted and there are 3 edges to permute in a triangular fashion. There are 2 variants, the Ua and Ub perms. This is a PLL (Position Last Layer) algorithm. Either way, if repeated 6 times it will bring the cube back to its original state, as with most 6 move triggers. It is less used, but is still quite prominent in F2L, where the triple sexy is frequently replaced with triple reverse sexy as it is said to be quicker.

This is, as the name implies, the reverse of sexy.

You can find it in F2L, OLL, and PLL and, if repeated 6 times on a cube, will bring it back to the same state it was in before. This is another trigger that is heavily used in almost everything. If repeated 6 times, it will bring the cube back to its previous state. It also has a much lesser-known reverse, hedgeslammer. This is a trigger that is used in a lot of algorithms, and in F2L. It was also coined by Petrus in the method of the same name. It is still an OCLL, but the algorithm is mirrored. It was proposed by Lars Petrus in his Petrus method.Īs referenced by the name, Anti-Sune is the opposite of Sune. It is part of a special subcategory called OCLL, which means that it only orients the corners (is used when all edges are oriented). Sune is an OLL algorithm, which means it orients the last layer. The majority of these will be CFOP algorithms, and some will be used in other methods such as Petrus, ZZ and Roux. Below we will be going over the most famous algorithms, such as Sune, Sledgehammer, and many more. 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.

List of rubiks cube timer