居家实验:“揉纸团”中的分形现象

Home experiment:fractal geometry of crumpled paper ball

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.

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 dimension 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.