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Rotations | Geometric algebra episode 13

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Video / channel Intermediate

All Angles

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Description

Rotations | Geometric algebra episode 13 is an All Angles video in the geometric algebra tutorial series, hosted on YouTube. It treats 3D rotation as geometry built from reflections rather than as a standalone matrix formula.

The episode derives rotations as two successive reflections using the sandwich product, introducing rotors and the angle-doubling relationship between reflection planes and rotation amount. It explains when a one-sided geometric product suffices inside the rotation plane and why the full sandwich form is required for vectors with components outside that plane.

Viewers should already understand projections and reflections from earlier episodes in the same playlist. The pace is mathematical but visual, aimed at intermediate learners who want intuition for rotors before reading heavier GA texts.

Access is free via the All Angles channel as one episode in an ordered series. The playlist is cited in math-for-graphics discussions as a approachable entry point to geometric algebra for rendering practitioners.