2015-03-29, post № 3

programming, Pygame, Python, #background, #code, #color, #generator, #gradient, #rectangles, #wallpaper

Playing around with Pygame I tried to create programs which are pleasant to look at. ‘Rectangles’ generates — as it may sound like — rectangles with different size, color and position. They can appear from the four corners of the screen and have a gradient effect.


  • ‘s’ to take a screenshot,
  • ‘Space’ generates a new set of rectangles.
Source code: rectangles.py

𝜋 Generator

2015-03-29, post № 2

mathematics, programming, Pygame, Python, #circle, #generator, #pi

Using Python and Pygame I created a program which approximates 𝜋. On the square screen points will randomly appear. Based on the distance to the center the points get a different color. Divided into two groups (the red points and the gray points) the program can roughly estimate 𝜋.

How it calculates

  • The red points represent the circle area. A'=\pi\cdot r^2
  • The gray points represent the square area minus the circle area. Thus the gray points and the red points the square area. A''=\big(2\cdot r\big)^2=4\cdot r^2
  • We get \frac{\pi}{4}, when we divide one by another. \frac{A'}{A''}=\frac{\pi\cdot r^2}{4\cdot r^2}=\frac{\pi}{4}
  • Lastly, we need to multiply by four to get 𝜋. \frac{A'}{A''}\cdot 4=\pi
Source code: pi-generator.py

Hello World

2015-03-28, post № 1

programming, Python, #beginning, #hello, #hello world, #start, #world

I thought a ‘Hello World’-program would be a good start to my blog.

Source code: hello-world.py

Jonathan Frech's blog; built 2021/04/16 21:21:49 CEST