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 ...

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 ...

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 = ...

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

Squares, triangles, circles - these geometric shapes appear everywhere in art and architecture going back all through human history. Geometric regularity seems to be something that the human brain is ...