1. The problem statement, all variables and given/known data What type of spiral has constant angular velocity and constant magnitude of velocity? Is there a description of the mathematics that describe the spiral? 2. Relevant equations To be determined. 3. The attempt at a solution The closest type I can find is the Archimedean spiral, which is the locus of points corresponding to the locations over time of a point that moves away from a fixed point with a constant speed along a line that rotates with constant angular velocity. The spiral that I am interested in is the locus of points corresponding to the locations over time of a point that (a) moves away from a fixed point along a line that rotates with a constant angular velocity, and (b) moves with a constant magnitude of velocity. Unlike the Archimedean spiral, the moving point does not move at a constant speed along the rotating line. Instead, it moves at a constant total magnitude of velocity, with the result that its speed along the rotating line decreases as the point moves farther from the fixed center (because the moving point's total magnitude of velocity is constant, and its magnitude of tangential velocity increases as it moves farther from the fixed center). Thanks.