An interactive introduction to rotors from geometric algebra, presented as an alternative to quaternions.

Classic article by Glenn Fiedler that goes into some of the intricacies of delta time in gameloops

About using low-discrepancy functions/tables in gameplay code. A low discrepancy sequence is a sequence of numbers which are neither too close together nor too far apart.

The precursor to the Our Machinery blog with different articles.

Blog with several good posts on game engine architecture.

Thorough walkthroughs of the code for famous id Software games. Available as free PDFs or inexpensive print versions.

Thorough walkthroughs of the code for famous id Software games. Available as free PDFs or inexpensive print versions.

A short course from Pixar on modeling and simulating physical systems. Covers differential equations, particle systems, rigid body dynamics, etc.

Shows how to construct natural-feeling jump trajectories from designer-friendly input like desired height and distance, modeled programmatically using one of a few available integration methods.

How to make entities predict the trajectories of their projectiles.

A practical solution to (pseudo) continuous collision detection.

How to implement a character controller using swept collision and an iterative solver, and how the solver naturally handles collision priorities using Lagrange multipliers.

Overview on various approaches to vehicle physics and their pros and cons.