Mono-monostatic Bodies: The Answer to Arnold's Question

Varkonyi, P. L.; Domokos, G.
September 2006
Mathematical Intelligencer;Fall2006, Vol. 28 Issue 4, p34
Academic Journal
The article discusses the hypothesis of Vladimir Igorevich Arnold regarding the existence of homogeneous bodies with fewer than four equilibria, also called mono-monostatic bodies. An overview of the Arnold's findings based on new results is presented. The authors points out that mono-monostatic bodies are neither flat or thin are not similar to typical objects with more equilibria and are hard to approximate by polyhedra.


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