居家实验:“ 揉纸团”中的分形现象

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居家实验:“ 揉纸团”中的分形现象

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罗洁( 2001—) ，女，湖南邵东人，南开大学物理学院 2019 级本科生.

收稿日期: 2020-11-30

修回日期: 2021-03-29

网络出版日期: 2021-10-15

基金资助

国家基础科学人才培养基金( J1210027) 资助

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Home experiment: fractal geometry of crumpled paper ball

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Received date: 2020-11-30

Revised date: 2021-03-29

Online published: 2021-10-15

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在疫情期间，我校大学基础物理实验课程开设了学生居家实验，其中“揉纸团”实验由于制备简单、测量容易，选做的同学较多.

本文讨论了“揉纸团”实验中的分形现象，引入内部无规则纸团中分形维数的定义，并通过实验测量了普通 A4 打印纸的分形维数，研究了不同纸张硬度以及纸张层数等因素对纸团分形维数的影响.

关键词： 分形; 分形维数; 纸团

罗洁, 钱钧 . 居家实验:“ 揉纸团”中的分形现象[J]. 大学物理, 2021 , 40(10) : 73 . DOI: 10.16854 / j.cnki.1000-0712.200522

During the pandemic period，experiments in home are set up in basic physics

experiment course. Because of the simple preparation and easy measurement，the hand-crumpled

paper ball experiment is chosen by many students. In this paper the fractal in the

experiment of crumpled paper balls is discussed. The definition of fractal dimension is

introduced to describe the internal irregularity of the crumpled paper balls. The fractal

dimen- sion of normal A4 printing paper is measured experimentally and the influence of different

paper hardness and paper layers on the fractal dimension of paper ball is studied.

Key words： fractal; fractal dimension; paper ball

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