首页|On the Number of F-Points Inside a Convex F-Polygon

On the Number of F-Points Inside a Convex F-Polygon

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An F-polygon is a simple polygon whose vertices are F-points,which are points of the set of vertices of a tiling of R2 by regular triangles and regular hexagons of unit edge.Let f(v)denote the least possible number of F-points in the interior of a convex F-polygon K with v vertices.In this paper we prove that f(10)=10,f(11)=12,f(12)=12.

Discrete geometryF-polygonInterior hullLattice polygon

GUO Zi-huan、WEI Xiang-lin

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Shijiazhuang No.1 Middle School,Shijiazhuang 050000,China

College of Science,Hebei University of Science and Technology,Shijiazhuang 050018,China

国家自然科学基金

12271139

2024

数学季刊(英文版)
河南大学

数学季刊(英文版)

影响因子:0.201
ISSN:1002-0462
年,卷(期):2024.39(1)
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