Sierpinski Carpet Python Turtle Code

Recursive sierpinski carpet using turtle graphics. You can simplify the code and make it run faster if you construct the next level carpet by continuing to work on the previous image punching more holes in it rather than starting with a blank slate every time. Let s talk a little about the algorithm we ll use to go about drawing the sierpinski triangle.

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A curve that is homeomorphic to a subspace of plane.

Sierpinski carpet python turtle code.

I am trying to create the sierpinski carpet in python using turtle. Pen left 90 s n 1 l pen right 45. From turtle import make a screen and a pen pen pen screen screen pen speed 0 pen color orange pen width 1 5 def s n l. In these type of fractals a shape is divided into a smaller copy of itself removing some of the new copies and leaving the remaining copies in specific order to form new shapes of fractals.

Python has a module called turtle that allows us to draw cool shapes very easily. Here is my idea. This is my code so far. Turtle setposition x y will set the turtle s position to the coordinates you plug in.

I am trying to write a program that draws a sierpinski tree with python using turtle. Since it is impossible to draw infinitely many points on the screen there is a parameter k specifying which iteration you want and what it essentially does is limits the number of digits in each coordinate to k. You can change the speed of the turtle by doing turtle speed number. Versions 2 and 3 plotscf gp and plotscf1 gp file functions for the load command are the only possible imitation of the fine functions in the gnuplot.

Pen right 45 s n 1 l pen left 90. Quick sort is even faster than merge sort. Colorful sierpinski carpet with python turtle. Implement quick sort.

Note that you need to make sure the turtle s pen is up otherwise it ll draw a line back to that. Counter 0 while counter sides. The sierpinski carpet is a plane fractal curve i e. We ll generate the fractal recursively by breaking the triangle into three smaller triangles then breaking those small triangles into three smaller triangles and so on.

0 0 is located at the center of the screen where the turtle first started. It was first described by waclaw sierpinski in 1916. Previous previous post. Colorsys fractal hsv recursion.

Plotting a sierpinski carpet fractal. The code can look prettier and more pythonic too since the technique lets you get rid of the recursion. The sieprinski carpet is given by d 2 b 3 m 1 a 1 and the menger sponge is the same but with d 3. Quick sort animation with python and turtle with source code merge sort algorithm is fast but it requires additional array and additional copying.

I m a python beginner so at the moment i can only see that you can slightly improve your code using range in the function draw polygon so instead of. A turtle forward length a turtle right 360 sides counter counter 1. For i in range 4. This is the best code for sierpinski triangle.

Import turtle def draw sierpinski.