DEFORMATION OF A SQUARE


 
 
 

In this part of work we will try to visualize the deformation of a square where the side lenght is 1.


 

the result after one iterartion, the square is totally deformed.


 
 

at the end we obtain the shape of the strange attractor, because square points converge into the attractor.

we can notice in another hand that they are in the initial domain some points which go to the infinit because they are out of the basin of attraction.