Design Nomenclature / Form & Geometry

Gimbal lock

Also called euler singularity, gimbal

The loss of one rotational degree of freedom when two axes of a three-angle Euler rotation align: at 90° of pitch, yaw and roll turn about the same line and the pair collapses into one. It is a defect of the coordinates, not of the object — quaternions and rotation matrices have no such singularity, though any three-angle readout of them does.

A two-column comparison of what the three Euler axes are doing. Left, pitch at 0°: yaw, pitch, and roll turn about three distinct axes — three angles, three independent degrees of freedom. Right, pitch at 90°: the yaw and roll axes now coincide, two of the three angles drive the same rotation, and one degree of freedom is gone.

In practice

Euler channels that suddenly demand a 180° flip mid-arc are the symptom. Fix it by reordering the rotation channels so the heavily animated axis is not the middle one, or by baking to quaternion and giving up readable curves.

Origin

From the physical gimbal — nested rings in a ship's compass or an inertial platform. Apollo's guidance platform had a real one with only three rings, and the crew genuinely had to fly around its locked orientation.

How this term connects

Affine transformLocal spaceRotational symmetryWorld spaceGimbal lock
Related Confused with