Design Nomenclature / Form & Geometry
Local space
Also called object space, pivot, origin, local coordinates
This entry has not been translated yet and is shown in English.
The coordinate frame an object's vertices are actually stored in: origin at the object's pivot, axes fixed to the object. Vertex data does not change when the object moves — the transform matrix does. Each child in a hierarchy is stored in its parent's local space, and that nesting is what makes rigs composable at all.
In practice
'Object space', and the pivot is simply its origin. A pivot left at the world centre is why rotating a part swings it across the scene instead of turning it in place; 'centre pivot' moves the frame, not the mesh.