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Build a 2D Physics Engine

Build a Box2D-style 2D physics engine: vector math, semi-implicit Euler integration, AABB + circle collision, broad-phase via spatial hash + sweep-and-prune, SAT narrow-phase, impulse-based response with friction + restitution, distance + spring constraints, sleeping for stability.

advanced14 lessons4 chapters14 graded exercisesPython

No sign-up needed for lesson 1 · certificate on completion · sign up to save progress

What you’ll have built

Chapter by chapter. Every step is a graded exercise.

  • Math & Integration
  • Collision Detection
  • Collision Response
  • Production
Starts in Python — solve in the language you choose in the editor, same tests either way.

Curriculum

4 chapters, 14 lessons. Each lesson is a short read, one graded exercise, and a quiz.

  1. 1What Physics Engines SolveRead · exercise · quiz
  2. 22D VectorsRead · exercise · quiz
  3. 3Numerical IntegrationRead · exercise · quiz
  4. 4Symplectic vs Explicit EulerRead · exercise · quiz
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Build a 2D Physics Engine