Peano Basin

Written by Paul Bourke
January 2017

The Peano Basin fractal documented in the 1890s as one of a series of curves described by Giuseppe Peano, another more well known example is this. It is space filling with fractal dimension of 2.

The Peano basin has been proposed as a mathematical model for river basin networks.

Figure 2.24 on Page 124 of Fractal River Basins: Chance and Self-Organization by Ignacio Rodríguez-Iturbe, Andrea Rinaldo