Packing a Tetrahedron by Similar Tetrahedra

被引:0
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作者
Janusz Januszewski
Łukasz Zielonka
机构
[1] Bydgoszcz University of Science and Technology,Institute of Mathematics and Physics
来源
Results in Mathematics | 2024年 / 79卷
关键词
packing; tetrahedra; 52C17;
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摘要
Any collection of homothetic copies of some tetrahedron Tr\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T_r$$\end{document}, whose total volume does not exceed one quarter of the volume of Tr\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T_r$$\end{document}, can be packed into Tr\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T_r$$\end{document} .
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