Parallel packing squares into a rhombus

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2024-08-16 DOI:10.1007/s10474-024-01446-7

M. Liu, Z. Su

引用次数: 0

Abstract

Suppose that \(R_{\alpha}\) is a rhombus with side length \(1\) and with acute angle \(\alpha\). Let \(\{S_{n}\}\) be any collection of squares. In this note a tight upper bound of the sum of the areas of squares from \(\{S_{n}\}\) that can be parallel packed into \(R_{\alpha}\) is given.

查看原文本刊更多论文

将正方形平行打包成菱形

假设\(R_{\alpha}\)是边长为\(1\)、锐角为\(\alpha\)的菱形。让 \(\{S_{n}\}) 是任何正方形的集合。本说明给出了一个严格的上界，即可以平行打包到 \(R_{α}\) 的 \(\{S_{n}\}) 中的正方形面积之和。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.