On what kind of surface would a square wheel function the same as a round wheel?

The curve described by the surface would bea series of arches, the length of each arch coincides with one side of the square. The corners of the square wheels would hit the surface at the bottom between each set of arches. I believe the name for this curve is a hypocycloid?

Posted by mark hartman on 2003-06-19 18:21:19