These are not the kinds of objects that concern Scott Sheffield. Sheffield, a professor of mathematics at the Massachusetts Institute of Technology, studies shapes that are constructed by random ...

In Raiders of the Lost Ark, Indiana Jones must find a secret chamber that contains the legendary Ark of the Covenant. To identify its exact location, Indy must uncover a special map that’s only ...

Stochastic geometry is an area of mathematics that investigates random spatial patterns and the probabilistic foundations of geometric structures. A key focus within this field is the study of random ...

Researchers uncover geometric principles governing how particles self-assemble, solving a long-standing challenge in ...

In this paper we study the treewidth of the random geometric graph, obtained by dropping n points onto the square [0, √n]² and connecting pairs of points by an edge if their distance is at most r = ...

Often when describing patterns, they are placed in one of two categories: organic or geometric. Organic designs are ones ...