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POLYGON SHORTENING MAKES (MOST) QUADRILATERALS CIRCULAR

  • Published : 2002.02.01

Abstract

We show that an analog of the age-Grayson-Hamilton Theorem for curves moving according to their mean curvature holds for the motion of quadrilaterals according to their Menger curvature.

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References

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  1. Asymptotic Behavior of $$\beta $$ β -Polygon Flows pp.1559-002X, 2017, https://doi.org/10.1007/s12220-017-9940-y
  2. Semidiscrete Geometric Flows of Polygons vol.114, pp.4, 2007, https://doi.org/10.1080/00029890.2007.11920419