Prototype for a fun 2D obstacle course game based on the visualization of Fourier series. Developed using the Godot game engine and tooling.

Awarded 2nd prize in the BaselHack 2019.

The Fourier series is a significant mathematical concept with a wide variety of applications. It can be used to approximate any function, even the most complicated arbitrary paths. On top of that, there is a neat way of visualizing its composition.

By using this concept at its core, we seek to create a simple 2D game which is fun to play, pleasing to look at, and might help people develop an intuition, or at least an appreciation for the idea behind Fourier series.

You are presented with an obstacle course. At the beginning you may choose a combination of consecutively attached edges of different sizes and rotational speeds.

The goal is to find a configuration of rotating edges with sizes and speeds (the Fourier series) such that the tracing edge clears the obstacle course (approximates the desired function with sufficient accuracy).

Sajanth Subramaniam, Pascal Noser, Jonas Meier, Fedor Perejoguine