The Coastline Paradox
How long is the coastline of Britain? The answer depends on how you measure it. As the ruler gets shorter, the answer grows without bound.
1951 (Richardson), 1967 (Mandelbrot)7 min read
British mathematics, meteorology, and peace studies
Lewis Fry Richardson
1881 – 1953
Mathematician and meteorologist who pioneered numerical weather prediction and the mathematical study of the causes of war. While studying the relationship between shared border length and likelihood of conflict, he noticed that the reported length of borders between countries varied wildly depending on the source — because different maps used different scales. His posthumous paper on this observation, published in 1961, laid the groundwork for what Benoit Mandelbrot later formalised as the coastline paradox and fractal geometry.