This page collects articles I wrote while working on my relativistic platformer video game. They are grouped by topic.

Special Relativity

The articles in this section collect results that I find useful for the development of my relativistic video game. They are quite dense with formulas and probably not of much use outside the narrow context of Special Relativity. I used to collect these results in a private Latex document. I decided to move them to this site. At the very least, they provide documentation for the work I am doing and give external people a chance of checking that what I am doing is correct, following the scientific spirit :)

Lorentz boost in three dimensions

Frame where two velocities are the opposite of each other

Length contraction for light pulses

Analytical positioning of bodies (WIP)

Derivation of hyperbolic motion in one spatial dimension

Derivation of hyperbolic motion in three spatial dimensions

Relativistic dynamics in the game

Latency of relativistic dynamics

Collision avoidance

Games and programming

Here are some posts about video games and game programming:

Video games about Special Relativity

Why you need to pre-multiply textures

Rendering flames out of the train's engine