The Minimum Number of Interior H-Points of Convex H-Dodecagons

被引：0
|
作者：
Wei, X. [1 ]
Wang, W. [1 ]
Guo, Z. [1 ]
机构：
[1] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China
来源：
MATHEMATICAL NOTES | 2020年 / 107卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
discrete geometry; lattice polygon; H-polygon; interior hull; outer hull; LATTICE POLYGONS;
D O I：
10.1134/S0001434620030141
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An H-polygon is a simple polygon whose vertices are H-points, which are points of the set of vertices of a tiling of Double-struck capital R-2 by regular hexagons of unit edge. Let G(v) denote the least possible number of H-points in the interior of a convex H-polygon K with v vertices. In this paper we prove that G(12) = 12.
引用
收藏
页码：509 / 517
页数：9
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