Fractal dimension

1918,1974 Fractal dimension

The book of science

Tom Sharp

Felix Hausdorff, Benoit Mandelbrot mathematics

Fractal dimension

Coastline paradox

Covering and packing

Minkowski–Bouligand dimension

More than one, less than two


When the length of our measuring stick approaches zero, the length of the coast of Great Britain approaches infinity, which makes the length of a coastline seem indeterminable; however, the Hausdorff dimension of the coastline of Great Britain is 1.25, quite a bit more determinable.

See also in The book of science:

Readings on wikipedia: