The Hilbert curve is a space filling fractal that can be represented as a Lindenmayer system with successive generations that look like this: Thanks to ...
The blancmange function is used as an example in basic calculus of a function that is continuous everywhere, but differentiable nowhere. It achieves this effect by using the sums of ever-diminishing ...
Execute a Lindenmayer System A Lindenmayer System (or L-system) is related to Thue and Post systems, and is used in botanical modeling and fractal generation. An L-system is described by ...
The Sierpinsky Triangle is a fractal created by taking a triangle, decreasing the height and width by 1/2, creating 3 copies of the resulting triangle, and place them such each triangle touches the ...
The Challenge Build a N-Leveled Cantor Set. The Cantor ternary set is created by repeatedly deleting the open middle thirds of a set of line segments. The program receives one parameter N (a ...
Your task is to draw the mandelbrot set in ascii. It should look something like The complex number 'C' lies in the mandelbrot set, when the function z = z^2 + c remains bounded, z starts at 0. For ...
You all know the Newton method to approximate the roots of a function, don't you? My goal in this task is to introduce you into an interesting aspect of this algorithm. Newton's algorithm converges ...
The Koch snowflake (also known as the Koch star and Koch island) is a mathematical curve and one of the earliest fractal curves to have been described. It is based on the Koch curve, which appeared in ...