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A fractal can have an infinite edge but finite area

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Shapes like the Koch snowflake boast a deeply upsetting geometric property. Every time you zoom in, the perimeter folds outwards eternally, creating a literally infinite outer boundary line. Yet, despite having no measurable end to its edge, the total space trapped inside remains definitively finite. Infinity perfectly caged by itself.

A fractal can have an infinite edge but finite area
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