# Stability of Polygons Inscribed in an Ellipse

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This Demonstration concerns polygons with sides inscribed in an ellipse with semimajor axis 1 and semiminor axis . If there exists a perpendicular line from a side that intersects the center of gravity, then the side is stable. The stable sides are shown in green.

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Contributed by: Tímea Deichler (June 2015)

Suggested by: Gabor Domokos

Open content licensed under CC BY-NC-SA

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References

[1] G. Domokos, Z. Lángi, and T. Szabó, "On the Equilibria of Finely Discretized Curves and Surfaces," *Monatshefte für Mathematik*, 168(3–4), 2012 pp. 321–345.

[2] "The Gömböc." (Jun 25, 2015) www.gomboc.eu.

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