Fractal bodies in bubbles (IMAGE)
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The word “fractal” originates from “fractional”. Few could imagine fractal bodies with non-integer dimensions between two-dimensional (a plane) and three-dimensional (a cube, for example) figures. However, there are many fractal bodies around us such as clouds and coastlines, indicating fractal shapes are the most natural and fundamental forms of existence in nature. Our finding of the universal relationship between physical properties and sample dimensions indicates that the dimensions also govern all kinds of physical and mechanical properties as a principle of nature.
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© Toshio Naito, Ehime University
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