8. All the objects we view have the same property
A fragment of the object look as the object itself!
This is call : Self-similarity
Self-similarity
@matyo91@matyo9130-01-2007
16. It has a fine structure at arbitrarily small scales
It possess the self-similarity structure
It can have a non-integer dimension
property of a fractal’s object
@matyo91@matyo9130-01-2007
18. That is to say 1 the side of the
initial triangle.
Then in the second stage, the
side of the three triangles and
we got a shape twice larger.
d= log(3)/ log(2) = 1.58
For S(3), we got
d = log(27)/log(8) = 1.58
Dimension of the
Sierpinsky’s
triangle
@matyo9130-01-2007
21. Process
@matyo9130-01-2007
z0=0
z n+1 = zn2 + c and c is a complex.
For each pixel of the screen, we associate a value of c.
If zi has a module higher than 2, the sequence diverges and the
pixel is drawn color i.
When the sequence does not diverge, the pixel in black is colored
24. The virtual images
@matyo9130-01-2007
On the computer, one can reveal virtual images of natural objects of a
great complexity and of one extraordinary resemblance.
25. In industry
@matyo9130-01-2007
They are in the origin of :
new materials of insulation like polymers.
Processes of recovery of oil by injection of fluids under pressure in
the porous rocks
Etc.
