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If you apply the same algorithm over and over again the cube will be solved.
I want to know what algorithm is the worst one (the one with the longest cycle)
I have found RU (cycle of 60 times)
I have found one of 72 but I can't remember it

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  • $\begingroup$ Cycling RU solves the cube in 60 times? I didn’t know that was possible $\endgroup$ – Gabe Dec 12 '19 at 16:18
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It seems like you are trying to find

An element of the Rubik's cube group whose order is as large as possible.

One such example that satisfies this is

$(RU^2D^{-1}BD^{-1})$ which has the maximum attainable order of $1260$

In particular,

Starting from a solved cube, you need to apply this algorithm $1260$ times to get back to the beginning.

As mentioned by armb in the comments, there is a good answer here discussing the maximum orders for an $n \times n \times n$ Rubiks cube.

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    $\begingroup$ Can you prove that? $\endgroup$ – pgp1 Dec 11 '19 at 19:46
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    $\begingroup$ @pgp1 you can do it yourself - simply apply the algorithm 1260 times! :P $\endgroup$ – Quintec Dec 12 '19 at 1:14
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    $\begingroup$ "apply the algorithm 1260 times" proves it has order 1260, it doesn't prove that that is the maximum possible order. For the latter, see math.stackexchange.com/questions/2392906/… $\endgroup$ – armb Dec 12 '19 at 11:06
  • $\begingroup$ @armb This is very useful, I may add this link to the answer. $\endgroup$ – hexomino Dec 12 '19 at 11:08

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