The “Uphill Roller” is a beautiful (and counterintuitive) physics demonstration. English mathematician William Leybourn first reported it in 1694. In the original version, a double cone placed on two divergent inclined ramps appears to roll “uphill”, apparently violating the laws of physics. Actually, it is an example of an object’s center of mass descending under the influence of gravity . In the succeeding three centuries, this widely used lecture and museum demonstration has remained essentially the same. However, if one replaces the double cone with a pseudosphere, then something really counterintuitive can occur. Depending on the angles of inclination and divergence of the ramps, the pseudosphere can ascend or oscillate back and forth, finally reaching an equilibrium position near the center of the ramp. The explanation for this effect is left as an exercise for the viewer.