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.
What is sierpinski s carpet.
Creating one is an iterative procedure.
To construct it you cut it into 9 equal sized smaller squares and remove the central smaller square from all squares.
Here s the wikipedia article if you d like to know more about sierpinski carpet.
What is the area of the figure now.
This is a fun little script was created as a solution to a problem on the dailyprogrammer subreddit community.
Explore number patterns in sequences and geometric properties of fractals.
Sierpinski s carpet take a square with area 1.
Divide each one into 9 equal squares.
Originally constructed as a curve this is one of the basic examples of self similar sets that is it is a mathematically generated.
Start with a square divide it into nine equal squares and remove the central one.
Here are 6 generations of the fractal.
This tool lets you set how many cuts to make number of iterations and also set the carpet s width and height.
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 it into 9 equal sized squares.
The sierpiński carpet is a plane fractal first described by wacław sierpiński in 1916.
For instance subdividing an equilateral triangle.
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.
The sierpinsky carpet is a self similar plane fractal structure.
The squares in red denote some of the smaller congruent squares used in the construction.
It s a good practice to use virtualenvs to isolate package requirements.
The carpet is one generalization of the cantor set to two dimensions.
The area of sierpinski s carpet is actually zero.
Remove the middle one from each group of 9.
The sierpinski triangle i coded here.
You keep doing it as many times as you want.
Take the remaining 8 squares.
Sierpinski s carpet also has another very famous relative.
The figures below show the first four iterations.
A sierpinksi carpet is one of the more famous fractal objects in mathematics.
Another is the cantor dust.
How to construct it.
