A disproof of the conjecture about boundary H-points of H-triangles

被引：1
|
作者：
Wei X. [1 ]
Gao F. [1 ]
机构：
[1] College of Science, Hebei University of Science and Technology, Shijiazhuang
来源：
Journal of Applied Mathematics and Computing | 2016年 / 51卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Discrete geometry; H-point; H-triangle; Hexagonal tile; Triangular lattice;
D O I：
10.1007/s12190-015-0906-6
中图分类号：
学科分类号：
摘要：
An H-triangle is a triangle with corners in the set of vertices of a tiling of ℝ2 by regular hexagons of unit edge. It is known that any H-triangle with k interior H-points can have at most 3k+7 boundary H-points and can not have 3k+6 boundary H-points. In this note we prove that any H-triangle with exactly k interior H-points can not have 3k boundary H-points for k ≥ 5. © Korean Society for Computational and Applied Mathematics 2015.
引用
收藏
页码：299 / 313
页数：14
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