用正方形平行覆盖钝角三角形

Pub Date : 2024-07-22 DOI:10.1556/012.2024.04313

Zhanjun Su, Yufang Wu

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引用次数: 0

摘要

假设 𝑇 (𝛼, 𝛼)是一个钝角三角形，底长为 1，底角为 𝛼 和 𝛼（其中 𝛼 > 90◦）。本论文给出了能平行覆盖 𝑇 (𝛼, 𝛼)的正方形面积之和的下限。这一结果补充了之前对底边内角不大于 90 o 的三角形所得到的下界。

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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Parallel Covering an Obtuse Triangle with Squares

Suppose that 𝑇 (𝛼, 𝛽) is an obtuse triangle with base length 1 and with base angles 𝛼 and 𝛽 (where 𝛽 > 90◦). In this note a tight lower bound of the sum of the areas of squares that can parallel cover 𝑇 (𝛼, 𝛽) is given. This result complements the previous lower bound obtained for the triangles with the interior angles at the base of the measure not greater than 90◦.

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