Parallel Packing Squares into an Obtuse Triangle

被引：1
|
作者：
Januszewski, Janusz [1 ]
Liu, Xi [2 ]
Su, Zhanjun [2 ]
Zielonka, Lukasz [1 ]
机构：
[1] Bydgoszcz Univ Sci & Technol, Inst Math & Phys, Al Prof S Kaliskiego 7, PL-85789 Bydgoszcz, Poland
[2] Hebei Normal Univ, Sch Math Sci, Shijiazhuang 050024, Hebei, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2023年 / 78卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Parallel packing; obtuse triangle; square;
D O I：
10.1007/s00025-022-01803-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose that T(alpha, beta) is an obtuse triangle with base length 1 and with base angles measuring alpha and beta (where alpha > 90 degrees). Let S be a square with a side parallel to the base ofT(alpha, beta) and let {Si} be a collection of the homothetic copies of S. In this note a tight upper boundof the sum of the areas of squares from{Si} that can be parallel packed into T(alpha, beta) is given. This result complements the previous upper bound obtained for alpha <= 90 degrees.
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页数：15
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