Fractal dimension analysis with popcorn grains and popped popcorn grains

Carmo, Eduardo do; Hönnicke, Marcelo Gonçalves

doi:10.1590/1806-9126-rbef-2021-0115

Cited by 1 publication

(1 citation statement)

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“…In this paper, we analyse the different sound samples of musical instruments and noises. Earlier studies to introduce fractal dimension measurement (Carmo & Hõnnicke, 2021;Ching et al, 1994;García & Liu, 1995;Hartvigsen, 2000;Shore et al, 1992) are aimed at creating more interest among the students about the fractal structures, but many of them are time consuming, needs money and guidance of the teachers. But our method of measuring fractal dimension is very easy and less time consuming compared to the earlier works.…”

Section: Fractals and Musical Instrumentsmentioning

confidence: 99%

Fractals and music

Pothiyodath

Murkoth

2022

Momentum: Physics Education Journal

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Many natural phenomena we find in our surroundings, are fractals. Studying and learning about fractals in classrooms is always a challenge for both teachers and students. We here show that the sound of musical instruments can be used as a good resource in the laboratory to study fractals. Measurement of fractal dimension which indicates how much fractal content is there, is always uncomfortable, because of the size of the objects like coastlines and mountains. A simple fractal source is always desirable in laboratories. Music serves to be a very simple and effective source for fractal dimension measurement. In this paper, we are suggesting that music which has an inherent fractal nature can be used as an object in classrooms to measure fractal dimensions. To find the fractal dimension we used the box-counting method. We studied the sound produced by different stringed instruments and some common noises. For good musical sound, the fractal dimension obtained is around 1.6882.

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