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"The perfect body with the perfect shape."

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„A shape whose impossibility might have been an elegant theorem, but whose existence may be much more elegant.” Chandler Davis

What is Gömböc?

The 'Gömböc' (pronounced: 'goemboets') is the first and only known homogenous object with one stable and one unstable equilibrium point, thus two equilibria altogether on a horizontal surface. Not clear yet? No matter what you do with it, it always gets back to its only stable point of equilibrium.
The stable equilibrium (S)
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 unstable equilibrium (I)
The single unstable equilibrium point of the Gömböc is on the opposite side. It is nearly impossible to balance the body in this position; however the slightest disturbance makes it fall, similar to a pencil balanced on its tip.

Why so special?

It can be proven that no object exists with less than two equilibria. For many years it seemed that no such object can exist. It had to be Vladimir I. Arnold, the World famous Russian mathematician, who came up with the conjecture that such object can possibly exist.

Even more mind blowing story is on the horizon! Latest researches show, that pebbles out there are 'trying' to evolve into a Gömböc – an ideal, perfect but unachievable form, therefore. From the shape of the stones one may draw conclusions on the age of a stone. Stay updated and follow our blog for news!

You may find more information about the background of the mathematical problem at www.gomboc.eu.

Why buy one?

Gömböc is a jaw dropping gift that makes you literally unforgettable. A hypnotic toy on your desk that helps you to think over your dilemmas, draw your daily insipration and to remember yourself: it’s just a matter of time to get up from the floor. Available in steel, bronze, aluminium, plexi in transparent and black.

Inspired by

Vladimir I. Arnold

Vladimir I. Arnold

The Origin of the Idea
The question whether Gömböc-type objects exist or not was posed by the great Russian mathematician Vladimir I. Arnold at a conference in 1995, in a conversation with Gabor Domokos. Arnold is considered to be one of the most influential scientists of the XXth century. “While he is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, he made important contributions in several areas including dynamical systems theory, catastrophe theory, topology, algebraic geometry, symplectic geometry, differential equations, classical mechanics, hydrodynamics and singularity theory, including posing the ADE classification problem, since his first main result—the solution of Hilbert's thirteenth problem in 1957 at the age of 19. (…) Arnold is also known as a populariser of mathematics.” Source: Wikipedia. You can find out more of Arnold and the Gömböc here: www.gomboc.eu/99.pdf

Inventors

Gábor Domokos

Inventor
Gabor Domokos got his PhD in 1989. Currently he is professor and head of the Dept. of Mechanics, Materials and Structures at the Technical University of Budapest. He has been member of the Hungarian Academy of Sciences since 2004. In his inaugural talk, he performed a conversation with Aristotle on irrational numbers. He was visiting fellow at the University of Maryland, and he is adjunct professor of Cornell University. He has been collaborating with Philip Holmes in discrete and continuous dynamical systems research projects. His interests include population dynamics and chaos. In his free time he likes free-hand drawing, photographing and hiking.

Péter Varkonyi

Inventor
Péter Várkonyi was a Silver Medalist at the Physics Student Olympiad in 1997. He graduated from the Technical University of Budapest as Architect, in 2003. He got his PhD in 2006, his work was advised by Gabor Domokos. His research field includes symmetry in engineering structures, biomechanics, evolutionary modelling. In the year 2006/07 he was a Korányi-fellow at Princeton University. Since then, he has been assistant professor in Budapest. He is married and has five children; nevertheless he has some time for his favorite activities: swimming, sailing and badminton.

Webshop

“Helps me to draw my daily inspiration and to remember myself: it’s always just matter of time getting up from the floor.”

Special designs

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Customization doesn’t sound a big deal today. But not in the case of Gömböc! Gömböc-type of objects are sensitive to the precision of its shape by the hundredth of a millimetre. The smallest change in the distribution of the mass causes the object cease to be a ‘gömböc’. Therefore, when engraving a Gömböc the whole shape has to be recalculated to balance the mass inequalities.
Customization options also include size, material, surface finishing beside special engravings such as personalization or numbering schemes. If required, it is even possible to have a special Gömböc form developed by the inventors of the Gömböc, one that has never been used before and will never be used afterwards.
Customized Gömböces can be ordered here.

„the geometry of the equilibrium”

"Gömböc is like a mythological creature. It’s recalling me the story of the griffon bird."
Cedric Villani

„An amazing body” / „Verblüffender Körper”

"First homogeneous self-rightning shape."

"One of the most interesting ideas of year 2007"

Press & Media

Gömböc constantly receives growing attention from all around the World. Initially, it earnerd special reputation in scientific circles only, but now Gömböc is making its way to the pop-culture, similar to the career of Rubik’s Cube.

We buy pet rocks, snuggies, and shrinky-dinks; mathematicians have Klein bottles, Mobius strips, and the ultimate mathematical novelty item, the Gömböc.

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Other articles

The Gömböc is a roundish piece of clear synthetic material with gently peaked, organic curves. It looks like a piece of modern art. But if you tip it over, something unusual happens: it rights itself

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The Gömböc: The object that shouldn't exist
A Gömböc is a strange thing. It looks like an egg with sharp edges, and when you put it down it starts wriggling and rolling around with an apparent will of its own. Until quite recently, no-one knew whether Gömböcs even existed…

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