When a sphere is in pure rotation, will all particles in its surface have same linear speed?

Linear speed of a point on a rotating object will depend on the angular speed and distance between the point and the axis of rotation. All points on a sphere are equidistant from the center of the sphere, but are not equidistant from an axis of rotation through the sphere. Consider the earth spinning about its axis - the poles have no linear movement whatsoever (they simply spin in place), while points on the equator are moving at 460 m/s in order to complete their 40,000km rotational circuit once every day.