Category: Fractals

Hilbert curve
Posted in Fractals Intermediate Turtle

Drawing Fractals with Lindenmayer Systems

Lindenmayer systems, or L-systems, provide a very powerful way to construct fractals. Lindenmayer used L-systems to describe the behaviour of plant cells and to model the growth processes of plant development. An L-system is a rewriting system and a …

Posted in Beginner Fractals Turtle

Tweetable Python Code Golf

Code Golf is the amusement of writing as short as possible a program to perform a given task. So for example, if the task is to compute the average of a list of numbers (which could be changed at any …

Posted in Advanced Fractals

Fast Mandelbrot Set by QuadTree

Most Mandelbrot Set programs proceed along the display area, pixel by pixel horizontally, row by row from top to bottom. This one doesn’t. It divides up the screen into 6 horizontal squares in 2 rows, then for each one, checks …

Posted in Basic Fractals

Naive Mandelbrot Set

This is your basic Mandelbrot Set plotter. Very little effort made to speed it up, except for plotting top & bottom pixels together as they’re mirrored across the x-axis. Later I’ll show you some much faster programs!

The heart of …

Posted in Fractals Intermediate

Fractal Tree

This program draws a ‘tree’ by drawing a trunk (initially; later it’s a branch) and appending a tree, recursively. Uses Pillow.…