The Gömböc exhibition under the Central Dome of the
Hungarian National Museum
offers unique visual experience: along the circular perimeter stand 10 giant Gömböc pieces painted by contemporary artists. At the centre a Gömböc installation designed especially for this exhibition by Coandco Communications supports Gömböc 1802, carrying as sertial number the year when Count Ferenc Széchényi offered his rich collection to the nation.
The
Gömböc
is the first known homogenous object with one stable and one unstable equilibrium point, thus two equilibria altogether on a horizontal surface. It can be proven that no object with less than two equilibria exists. If placed on a horizontal surface in an arbitrary position the
Gömböc
returns to the stable equilibrium point,




similar to ''weeble'' toys. While the weebles rely on a weight in the bottom, the
Gömböc
consists of homogenous material, thus the shape itself accounts for self-righting.


The single unstable equilibrium point of the
Gömböc
is on the opposite side. It is possible to balance the body in this position, however the slightest disturbance makes it fall, similar to a pencil balanced on its tip.


The question whether
Gömböc
-type objects exist or not was posed by the great Russian mathematician V. I. Arnold at a conference in 1995, in a conversation with Gabor Domokos.