RUS
ENG
Full version
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
Fulltext:
PDF file (487 kB)
References
©
Steklov Math. Inst. of RAS
, 2025