The World’s Only Self-Righting Object
This is the GÃ¶mbÃ¶c, the world’s only homogenous, convex, self-righting object. Unlike inhomogeneous self-righting novelties built with weighted bases, the GÃ¶mbÃ¶c is made of solid stainless steel, relying solely upon its unique curvilinear surface to achieve equilibrium from any starting position. Entirely convex – every point on its surface bulges outward – it is similar in geometry to the shell of the radiated tortoise (Astrochelys radiata), which allows the animal to self-right without the use of its limbs.
Mathematically impossible in two dimensions, the GÃ¶mbÃ¶c barely exists in three-dimensional space, the only known nondegenerate object to possess exactly one stable and exactly one unstable point of equilibrium.
Flat objects (e.g. pebbles) have two stable points while thin objects (e.g. pencils) have two unstable points. Therefore, a GÃ¶mbÃ¶c is a precise representation of minimal flatness and thinness – increasing either parameter creates additional points of stable equilibrium.