I have array of triangles. How can I contruct minimum count of triangle strips and fans from this triangles. I expect some algorithm, not the recursion.

I''ve never seen an algorithm that optimizes to generates the minimum count of triangle strips/fans. I can only point you to a couple of web resources on tri-strip generation:

http://www.codercorner.com/Strips.htm

http://www.cs.sunysb.edu/~stripe/

http://developer.nvidia.com/view.asp?IO=nvtristrip_library

Graham Rhodes
Senior Scientist
Applied Research Associates, Inc.