Hack's Law demonstrates that the length of a river is mathematically proportional to its drainage area raised to the power of 0.6.

#science #technology #nature #geology It's not something that we tend to think about- but rivers are mathematical. Hack's Law states that a river, stream or brook has a length that is proportional to its drainage area raised to the power of 0.6 The question is why? It's obvious that there is a link between size and width of river basins, but this theory holds mostly true all over the world. Gravity and friction play a part. But rivers are not random. https://www.quantamagazine.org/why-are-rivers-so-mathematical-20260810/

Why are rivers so mathematical? Natalie Wolchover writes for Quanta about Hack's law — that any stream has a length that’s proportional to its drainage area raised to the power of 0.6 — and the explanations that underly it. https://flip.it/EIqEbO #Rivers #Science #Mathematics