#### Alsamoshelan

##### Member

- Joined
- Aug 29, 2018

- Messages
- 8

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.