Gabor Domokos gives a talk on his mathematical journey that led to the creation of the Gomboc, the shape which has just one stable and one unstable point of equilibrium. In 1995, Russian mathematician V.I. Arnold conjectured that convex, homogeneous solids with just two static balance points (weebles without a bottom weight) may exist. Ten years later the first Gomboc was built. Gabor Domokos, will describe his own part in the journey of discovery, the mathematics behind that journey and the curious relationship between the Gomboc and the turtle. He will also discuss Arnold's second major conjecture: the Gomboc in nature is not the origin, but the ultimate goal of shape evolution.