Hey, very appealing! I have a soft place in my heart for computational geometry, but it's been a long time since I've studied it and I'd never seen a voronoi diagram for points *and* line segments before. So (just guessing when I could look it up), every line segment gets a perpendicular line through its endpoints and the curved lines are equidistant between each line segment and its nearest point(s)? The voronoi diagram is constructed using the bisectors (the locus of points equidistant from the two objects) between pairs of objects. Bisector of two points is a line. While the bisector of two disjoint segments is a simple curve that may consist up to seven sections (line or parabola). To simplify everything each segment is divided onto three parts: two endpoints and segment itself. This way the bisector between any two objects consists of one section (line or parabola) and falls into one of four categories: 1) both objects are points - bisector is the line bisecting them; 2) a segment and its endpoint - bisector is the line perpendicular to segment through endpoint; 3) a segment and disjoint point - bisector is the section of parabola; 4) both objects are segments - bisector is the line segment. I guess this simplified explanation will help to understand how it works for people who haven't seen voronoi of segments before. Indeed, congratulations to student and mentor alike! Thanks. Best, Andrii Sydorchuk