Continuum percolation

Continuum percolation is a concept in mathematics and physics that models how connected structures form in a continuous space, like a large, open area. Imagine randomly placing circles or spheres in a space; as you add more, they begin to overlap and create larger connected clusters. When enough overlaps occur, a big, spanning network forms, allowing movement or flow across the entire area—this is called percolation. It's used to understand phenomena like the spread of fluids through porous materials or wireless network connectivity, by studying how local connections lead to large-scale connectivity in a continuous setting.