Mathematics

Mathematics directs the flow of the universe, lurks behind its shapes and curves, holds the reins of everything from tiny atoms to the biggest stars. — Edward Frenkel

$\phi: \mathbb{R}^2 \rightarrow \mathbb{R}^3$ and $\phi: \mathbb{C} \rightarrow \mathbb{C}$

   

Surfaces $\phi: \mathbb{R}^2 \rightarrow \mathbb{R}^3$

   

Vector fields $\phi: \mathbb{R}^3 \rightarrow \mathbb{R}^3$

Scalar fields $\phi: \mathbb{R}^3 \rightarrow \mathbb{R}$

Cellular automata

Mandelbrot & Julia sets

Fractals & chaos game

3D fractals

Strange attractors

Fractal terrains

Galton board & harmonograph

Numerical methods