Wave interference is a phenomenon that occurs when two or more waves overlap, combining or cancelling in different places.

Here, Two spherical waves emanating from opposite corners of the cube are added and the result is shown.

Arithmetic Dynmaics is a bridge between number theory and dynamical systems.

This illustration was made for Quanta Magazine, as the cover of an article with the same title, which you can read here.

The Julia Set is originally defined on the complex numbers, by replacing them with quaternions, we get this fractal.

Visualized is a 3d section of the 4d fractal. It is rotating as well as changing the seed quaternion number.

Euler's formula is considered the most beautiful formula in mathematics.

It relates the fields of complex numbers, trigonometry, and analysis in a single equation.

Hydrogen orbitals are quantum mechanical functions that describe the probability of finding a particle in a certain place.

They are determined by so-called quantum numbers, like spin and angular momenutm.

Penrose tilings are a type of non-periodic tiling composed of two kinds of rhombuses.

They have five-fold symmetry and can be constructed from a 5-dimensional grid, which is the method I use here.