TILINGS OF THE SQUARE WITH SIMILAR RECTANGLES

被引：7

作者：

LACZKOVICH, M ^{[1
]}

SZEKERES, G ^{[1
]}

机构：

[1] UNIV NEW S WALES, DEPT PURE MATH, KENSINGTON, NSW 2033, AUSTRALIA

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 1995年 / 13卷 / 3-4期

关键词：

D O I：

10.1007/BF02574063

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let R(u) denote the rectangle of sides u and 1. We prove that the square can be decomposed into finitely many rectangles similar to R(u) if and only if u is algebraic and each of its conjugates lies in the open half-plane Re(z) > 0.

引用

页码：569 / 572

页数：4