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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 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
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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.
Received November 22, 2012, published December 13, 2013
Document Type: Article
UDC: 514.74
MSC: 52C05
Language: Russian
Citation: E. I. Shamaev, “The discrete geometric bisectors flow of strictly convex polygons and its convergence questions”, Sib. Èlektron. Mat. Izv., 10 (2013), 641–648
Citation in format AMSBIB
\Bibitem{Sha13}
\by E.~I.~Shamaev
\paper The discrete geometric bisectors flow of strictly convex polygons and its convergence questions
\jour Sib. \`Elektron. Mat. Izv.
\yr 2013
\vol 10
\pages 641--648
\mathnet{http://mi.mathnet.ru/semr456}
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