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Hello everyone,

I study the period of algorithms.

Let A be an algorithm. A is "k-periodic" if A^k (A repetead k times) is the equivalent of doing nothing.

For instance, (RUR'U') is 12-periodic, 36-periodic, and its smallest period is 6.

I'm searching algorithms whose smallest period is 11 and whose height (HTM) is as small as possible.

Currently I found this one (with a program), its height is 10 :

D' L R' F U' R U' D F' L

But maybe there are smaller algorithms. That's why I need some help. If anybody find such an algorithm with a height <= 10, please let me know !

An algorithm whose smallest period is 11 must be a 11-edges cycle.

Thank you.

I study the period of algorithms.

**Period basics**Let A be an algorithm. A is "k-periodic" if A^k (A repetead k times) is the equivalent of doing nothing.

For instance, (RUR'U') is 12-periodic, 36-periodic, and its smallest period is 6.

**What I'm looking for**I'm searching algorithms whose smallest period is 11 and whose height (HTM) is as small as possible.

Currently I found this one (with a program), its height is 10 :

D' L R' F U' R U' D F' L

But maybe there are smaller algorithms. That's why I need some help. If anybody find such an algorithm with a height <= 10, please let me know !

**Important fact for the search**An algorithm whose smallest period is 11 must be a 11-edges cycle.

Thank you.