geometry

A new technical blog post explains how the dual polytope can be used to simplify convex hulls in computational geometry. The walkthrough breaks down the mathematics behind duality and shows how it leads to simpler, more robust hull-simplification algorithms. Readers in the programming and geometry community are engaging with the post, discussing the clarity of the explanation and its practical applications in graphics and optimization.

Mathematician Maggie Miller has published a Quanta Magazine explanation of how to visualise four-dimensional space, describing 4D as a sequence of 3D snapshots, much like frames on a reel of film. The piece walks through why human intuition, built for three dimensions, struggles with 4D objects and how mathematicians work around that limit. It is drawing attention among science readers interested in topology and higher-dimensional geometry.