Parallel covering a regular hexagon with squares

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2026-04-30 DOI:10.1007/s10474-026-01591-1

Ziyi Guo, Zhanjun Su

引用次数: 0

Abstract

Denote by H a regular hexagon with sides of length 1. Let S be a square with a side parallel to a side of H and let \(\{S_{n}\}\) be a collection of the homothetic copies of S. In this note a tight lower bound of the sum of the areas of squares from \(\{S_{n}\}\) that can parallel cover H is determined.

Abstract Image

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用正方形覆盖正六边形的平行的

用H表示边长为1的正六边形。设S是一条边平行于H的一条边的正方形，设\(\{S_{n}\}\)是S的同质副本的集合。本文确定了从\(\{S_{n}\}\)开始平行于H的正方形面积之和的紧下界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.