• 11 Posts
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Joined 1 year ago
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Cake day: July 7th, 2023

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  • rustydrd@sh.itjust.workstoScience Memes@mander.xyzDimensions
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    2 days ago

    Fun fact, the Mandelbrot set is a 2-dimensional set (because it’s defined in the complex plane). However, its boundary line is a fractal, which can be understood as having a non-integer dimension (i.e., between 1, the topological dimension of a line, and 2, the dimension of a plane). There are multiple ways to define fractal dimensions such as the Hausdorff dimension. For example, the Sierpinski triangle has a Hausdorff dimension of 1.58. But the Mandelbrot set is special here, too, as it seems to have a Hausdorff dimension of 2, meaning that its boundary is so curly that it fills “a plane’s worth of space” despite its line-like topology.







  • rustydrd@sh.itjust.worksOPtoich_ielich📠iel
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    5 days ago

    Stimme dir grundsätzlich zu, aber mit einem Hinweis: Es ist völlig okay, technisch unbedarft zu sein, aber dann sollte man kein Falschbehauptungen anstellen mit dem Ziel, die eigenen Fehler anderen in die Schuhe zu schieben.