This tool lets you set how many cuts to make number of iterations and also set the carpet s width and height.
What is sierpinski s carpet.
The sierpinski carpet is the intersection of all the sets in this sequence that is the set of points that remain after this construction is repeated infinitely often.
Start with a square divide it into nine equal squares and remove the central one.
Sierpinski s carpet take a square with area 1.
Remove the middle one from each group of 9.
Explore number patterns in sequences and geometric properties of fractals.
How to construct it.
Here are 6 generations of the fractal.
The sierpiński triangle sometimes spelled sierpinski also called the sierpiński gasket or sierpiński sieve is a fractal attractive fixed set with the overall shape of an equilateral triangle subdivided recursively into smaller equilateral triangles.
Divide each one into 9 equal squares.
The area of sierpinski s carpet is actually zero.
The technique of subdividing a shape into smaller copies of itself removing one or more copies and continuing recursively can be extended to other shapes.
Originally constructed as a curve this is one of the basic examples of self similar sets that is it is a mathematically generated.
A sierpinksi carpet is one of the more famous fractal objects in mathematics.
Take the remaining 8 squares.
Step through the generation of sierpinski s carpet a fractal made from subdividing a square into nine smaller squares and cutting the middle one out.
You keep doing it as many times as you want.
The sierpinski triangle i coded here.
Divide it into 9 equal sized squares.
Remove the middle one.
Sierpinski s carpet also has another very famous relative.
The sierpinsky carpet is a self similar plane fractal structure.
The figures below show the first four iterations.
This is a fun little script was created as a solution to a problem on the dailyprogrammer subreddit community.
For instance subdividing an equilateral triangle.
The carpet is one generalization of the cantor set to two dimensions.
The sierpiński carpet is a plane fractal first described by wacław sierpiński in 1916.
What is the area of the figure now.
Another is the cantor dust.
The sierpiński carpet is the fractal illustrated above which may be constructed analogously to the sierpiński sieve but using squares instead of triangles it can be constructed using string rewriting beginning with a cell 1 and iterating the rules.
Creating one is an iterative procedure.
It s a good practice to use virtualenvs to isolate package requirements.
