Spherical Voronoi Diagram
An interactive visualization of Voronoi regions and Delaunay triangulation on a spherical globe.
Jason Davies’ page demonstrates a spherical Voronoi diagram, where seed points divide the surface of a globe into nearest-neighbor regions. It relates the visualization to circumcircles and Delaunay triangulation. The implementation notes say it uses a randomized incremental algorithm to compute the 3D convex hull of spherical points, equivalent to their spherical Delaunay triangulation, and that the project remains a work in progress.
This is not your typical AI news, model release, or tool update, but rather an interactive demonstration page leaning toward mathematics and data visualization. The page's theme is the Spherical Voronoi Diagram, which takes the concept of a Voronoi diagram, normally on a flat plane, and places it onto a sphere: given a set of seed points, the sphere is partitioned into multiple regions, each region corresponding to one seed point, where every location within a region is closer to that seed point than to any other. In this case, the space is not a plane but is approximated as the surface of a spherical Earth, giving it reference value for geographic data, global-scale partitioning, map projections, and geometric visualization.
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