Epicycloids are formed by tracing the path of a fixed point on a circle as it rolls aroung the outside of a larger circle. Examines several possibilities related to epicycloids (and hypocycloids), presenting more mathematical patterns and artistic shapes that result from using several computer programs. Program listings are included. (JN)

Discusses properties of epicycloids. (The easiest way to picture them is to think of a piece of radioactive bubble gum attached to a wheel which is rolling around the outside of a larger wheel.) Includes a computer program (TRS-80 color computer) that will graph any epicycloid with integer values for the radii. (JN)

Description of the field of robotics and its possible use in high school computational geometry classes emphasizes motion planning exercises and computer graphics displays. Eleven geometrical problems based on robotics are presented along with the correct solutions and explanations. (LRW)