If there are an infinite amount of details that can be found in a Mandelbrot set, shouldn't the Mandelbrot Set have an infinite area? Supposedly the area of a Mandelbrot set is 1.5065918849 ± 0.0000000028 (https://en.wikipedia.org/wiki/Mathematical_constants_and_functions).
2026-03-26 07:31:50.1774510310
Mandelbrot Set area
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The Mandelbrot set can't have infinite area, since the entire set is contained in the disk of radius $2$ centered at the origin.