Koch Snowflake

2016-04-30, post № 121

mathematics, programming, Pygame, Python, #animated fractal, #flake, #fractal, #fractal generating, #fractal gif, #generate

In my collection of programs generating fractals this famous one cannot miss.
The Koch snowflake is generated by starting with an equilateral triangle. Every side of the triangle then gets cut into three equal pieces and the center one gets replaced with yet another equilateral triangle.
To get the perfect fractal, you would need to repeat this process infinitely many times.
More information on the snowflake can be found in this Wikipedia entry.


  • ‘F1’ iterates the fractal,
  • ‘F2’ zooms in,
  • ‘F3’ zooms out,
  • ‘F4’ resets zoom,
  • ‘F5’ takes a screenshot,
  • Arrow keys move the camera around.
Source code: koch-snowflake.py

Pinhole Photograph

2016-04-27, post № 120

art, #digital, #digital photo, #flower, #image, #photo, #photography, #photography day, #pinhole day, #red, #red tulip, #tulip, #worldwide pinhole day, #yellow

Last sunday I posted an animated gif to celebrate the Worldwide Pinhole Day. On that day I also took pinhole photographs. My favourite, ‘Red Tulip’ can also be found on the official Worldwide Pinhole Day’s website.


Other photographs I took include white flowers, the same tulip in another light and a yellow flower.

Extra assets: red-tulip_700px.jpg

Worldwide Pinhole Day II

2016-04-24, post № 119

art, #animated, #animated gif, #camera, #gif, #pinhole camera, #WWPD

Today it is worldwide pinhole day. Build a camera and take a photo!



2016-04-23, post № 118

programming, Python, #chat, #j-chat, #LAN, #LAN chat, #socket, #sockets

Playing around with python’s sockets, I created this shell-based chat. It works via LAN and lets you communicate through text messages.
Type $help for a help menu.

Source code: jhat_client.py
Source code: jhat_server.py

Sliding Puzzle

2016-04-16, post № 117

games, programming, Pygame, Python, #apple, #piece, #tile, #tile game, #tile sliding, #tiles

This is my version of a sliding puzzle.
A sliding puzzle is based on a number of tiles (15 in this case) which are scrambled.
The objective of the game then is to slide the tiles around and get back to the original image.
As an image I took a photo of an apple in front of a black background.For more information on sliding puzzles, check this Wikipedia entry.


  • ‘F1’ takes a screenshot,
  • ‘F2’ starts and stops scrambling the image,
  • ‘F3’ solves the puzzle,
  • Mouse clicks slide tiles.
Source code: sliding-puzzle.py


2016-04-09, post № 116

mathematics, programming, Python, #factor, #factorize, #factors, #prime, #prime factorization, #unique factors

Playing around with prime numbers, I created this simple factorization program.
The interesting thing about prime factors is that they are unique. There can only be one way to multiply prime numbers to get 𝑛 where n\in\mathbb{N} and n\geq 2 (excluding the commutative property).For example, 2\cdot 3\cdot 7=42 and that is the only way to multiply prime numbers to get to 𝟦𝟤.

Source code: factorization.py

Jappy Jird

2016-04-02, post № 115

games, programming, Pygame, Python, #bird, #clone, #flappy, #flappy bird, #game clone, #pixel, #pixel game, #pixel-themed, #pixelated

This game is a clone of the famous international hit Flappy Bird.
You control the little pixel-bird, while it flaps through three different scenes and tries to avoid deadly pipes. Your score is measured by how many pipes you can pass.


  • ‘Escape’ pauses and resumes the game,
  • ‘F1’ takes a screenshot,
  • Up arrow key makes the bird flap.
Source code: jappy-jird.py

Prime-Generating Formula

2016-04-01, post № 114

mathematics, #generating, #prime formula, #primes

(April Fools’!) I came up with this interesting prime-generating formula. It uses the constant 𝜉 and generates the primes in order!

The constant’s approximation.

\xi = 1.603502629914017832315523632362646507807932231768273436867961017532625344\dots

The formula p_n calculates the 𝑛-th prime.

p_n=\lfloor{10^{2\cdot n}\cdot\sqrt{\xi^3}}\rfloor-\lfloor{10^{2\cdot(n-1)}\cdot\sqrt{\xi^3}}\rfloor\cdot 10^2

The first few values for p_n when starting with 𝑛 = 𝟢 are as follows.

p_{0\text{ to }7}=\{2,3,5,7,11,13,17,19\}
Jonathan Frech's blog; built 2021/10/02 17:36:09 CEST