Quaternions and Graph Theory: The Math Powering Games, GPS, and AI
JosephJacks_ · x · 2026-08-06
The thread shares two hardcore math concepts fundamental to modern tech:
- Quaternions: Hamilton realized in 1843 that 3D rotations require a 4D number system. Today, quaternions are the backbone of robotics, 3D game engines, and LLM positional encodings. A recommended 30-minute video builds 4D intuition via stereographic projection.
- Graph Theory: The exact same mathematical idea runs GPS, social networks like Instagram, and friend recommendations on LinkedIn. The article explains the shared math behind these applications.
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