Project Sherlock

Paper

1918

Dimension und ausseres Mass

Felix Hausdorff

Defines a dimension that can take any non-negative real value, not just an integer, giving fractal geometry the measurement tool it would need decades later to make fractional dimension precise.

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If this is the wrong level

Too hard? Start hereNewton's Fractal (which Newton knew nothing about)Grant Sanderson (3Blue1Brown), 2021Shows that applying Newton's root-finding method across the complex plane produces a fractal boundary between basins of attraction, arguing the method's local reliability hides genuinely chaotic global behaviour.

Filed under Geometry in Mathematics.