Concepts/Quaternions
intermediate

Quaternions

Why every robot stores orientation as four numbers instead of three. Find the axis a rotation turns about, watch three angles fail, and combine turns with four numbers.

8 Lessons·1h 15m

What You'll Be Able to Do

  • Explain why roll, pitch and yaw lock up, and spot gimbal lock
  • Describe any turn as one turn about one line
  • Write any turn as four numbers, and read the turn back from them
  • Combine and undo turns, and find the single turn from one orientation to another

Skills You'll Learn

Euler Angles
Gimbal Lock
Axis-Angle Rotation
Quaternions
Combining Rotations
Relative Rotation

Prerequisites

Basic trigonometry (sin and cos)
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