Parallel covering of isosceles triangles with squares

被引：4
|
作者：
Lu, M. [1 ]
Su, Z. [1 ]
机构：
[1] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 2018年 / 155卷 / 02期
基金：
中国国家自然科学基金;
关键词：
covering; isosceles triangle; square; SEQUENCES; PACKING;
D O I：
10.1007/s10474-018-0846-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Suppose that T (h) is an isosceles triangle with base length 1 and with height h. Let S be a square with a side parallel to the base of T (h) and let {S (n) } be a sequence of the homothetic copies of S. We first determine the bound of sums of areas of squares from the sequence {S (n) } that permits a parallel covering of T (h) . Then we show that the results about covering isosceles triangles are also true for acute or right triangles.
引用
收藏
页码：266 / 297
页数：32
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