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Acta Mathematica Hungarica
Author:
J. Januszewski
Abstract
Every sequence of positive homothetic copies of a planar convex body C whose total area does not exceed a quarter of the area of C can be translatively packed in C.
Acta Mathematica Hungarica
Author:
J. Januszewski
Abstract
An equilateral triangle T
e
of sides 1 can be parallel covered with any sequence of squares whose total area is not smaller than 1:5. Moreover, any sequence
of squares whose total area does not exceed \documentclass{aastex}
\usepackage{amsbsy}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{bm}
\usepackage{mathrsfs}
\usepackage{pifont}
\usepackage{stmaryrd}
\usepackage{textcomp}
\usepackage{upgreek}
\usepackage{portland,xspace}
\usepackage{amsmath,amsxtra}
\usepackage{bbm}
\pagestyle{empty}
\DeclareMathSizes{10}{9}{7}{6}
\begin{document}
$$\frac{3}
{4}(2 - \sqrt 3 )$$
\end{document} (2 − √3) can be parallel packed into T
e
.
