Most of these images were generated using Giulia, a CPU rendering framework available here.

Fractal Art

Fractals

Mandelbrot set

Newton’s fractal

Julia’s power 8 fractal

Sierpinski’s triangle

Mandelbar fractal

Julia set

Attractors

These systems of differential equations were simulated using Theoretica’s Attractor example program.

Lorenz Attractor

Aizawa Attractor

Van der Pol Attractor

Arneodo Attractor

Thomas Attractor

Halvorsen Attractor

Rossler Attractor

Physics

Double Pendulum

Other

Voronoi diagrams

Euclidean distance

Manhattan distance

Chebyshev distance

Minkowski L9 distance

Bezier curve construction

Lissajous curves

Pseudorandom number generators

These gray scale images were created using Theoretica’s pseudorandom number generators, giving a visual intuition of their quality. The first one was created using the C languages’s rand() function.

C rand()

Linear Congruential

Xoshiro

Wyrand

Splitmix64

Weyl