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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2013 Volume 10, Pages 641–648 (Mi semr456)

Geometry and topology

The discrete geometric bisectors flow of strictly convex polygons and its convergence questions

E. I. Shamaev

North-Eastern Federal University named after M. K. Ammosov

Abstract: The flow of planar polygons by vectors outward along their bisectors is studied. In case the initial planar polygon is strictly convex a convergence of vectors constructed by angles of polygons is proved.

Keywords: discrete geometric flows, planar polygons.

UDC: 514.74

MSC: 52C05

Received November 22, 2012, published December 13, 2013



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