The distance between any two given points in these objects is constant.
The relativistic analog of these objects have their motions limited to Killing vector fields or isometric flows by the Herglotz-Noether theorem. Radar distance is used to describe a relativistic equivalent of these objects in the Born condition. The motion of these objects are described by the SE(3) group. The rotation of these objects around a given (*) axis can be visualized with Poinsot's ellipsoid and is described by Euler's equations. Motion of these objects preserves orientation, which can be described by quaternions or Euler angles. The distance between any two given points in these objects is constant. Exemplified by a metal sphere are, for 10 points, what solid objects of a finite size that cannot be deformed?
The relativistic analog of these objects have their motions limited to Killing vector fields or isometric flows by the Herglotz-Noether theorem.
rigid bodies [accept rigid body dynamics]