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As I wrote in the description...
The complexity of simplicity!...searching in (4*4*2)^(4*4) Turing Machines is a pretty nice challenge. I like this TM [291408415736013963231875] because it seems simple and arranged but actually it is not!. It's head movement is awesome because it's likes bifurcations in dynamics.. and there is a lot of bifurcations points !! Also I like it's compressed version it seems beautiful.
 And with a sincere thanks to all kind guys here in WSSS 2012, especially Prof.Todd Rowland and Dr.Vitaliy Kauro.. I would like to share the results of my research in Turing Machine space S=C=4 (Powered by the  Mathematica).


Using a filtration algorithm with random sampling the next document show the head movement for the most interesting selected cases 





The next is the scalogram of the same samples (frequency scaling )







And finally this is my TM  [291408415736013963231875]


Head Movement Analysis for 500000 steps



Scalogram Analysis fro 500000 steps



Turing Machine Without Compression 

Compressed version for 500000 steps

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