An extremal property of lattice polygons

2019 ◽  
Vol 75 (3) ◽  
pp. 205-248
Author(s):  
Nikolai Bliznyakov ◽  
Stanislav Kondratyev
Keyword(s):  
Extremal Property ◽  
Lattice Polygons

An extremal property of the hypersphere

1951 ◽  
Vol 47 (1) ◽  
pp. 245-247 ◽  
Author(s):  
A. M. Macbeath
Keyword(s):  
Convex Body ◽  
Extremal Property ◽  
Plane Case ◽  
Simple Application ◽  
Plane Convex ◽  
Plane Convex Body

It was shown by Sas (1) that, if K is a plane convex body, then it is possible to inscribe in K a convex n-gon occupying no less a fraction of its area than the regular n-gon occupies in its circumscribing circle. It is the object of this note to establish the n-dimensional analogue of Sas's result, giving incidentally an independent proof of the plane case. The proof is a simple application of the Steiner method of symmetrization.

A Rational Approach to Lattice Polygons

1987 ◽  
Vol 18 (4) ◽  
pp. 316
Author(s):  
Warren Page
Keyword(s):  
Rational Approach ◽  
Lattice Polygons
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