What is...a Voronoi diagram?

Goal. I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much. This time. What is...a Voronoi diagram? Or: Distance diagrammatically. Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Slides. www.dtubbenhauer.com/youtube.html Voronoi diagrams. en.wikipedia.org/wiki/Voronoi_diagram mathworld.wolfram.com/VoronoiDiagram.html plus.maths.org/content/maths-minute-voronoi-diagra… Applications of Voronoi diagrams. www.et.byu.edu/~beard/papers/library/Aurenhammer91… en.wikipedia.org/wiki/Voronoi_diagram#Applications www.irishtimes.com/news/science/how-voronoi-diagra… Delaunay triangulation. en.wikipedia.org/wiki/Delaunay_triangulation www.newcastle.edu.au/__data/assets/pdf_file/0017/2… Mathematica. demonstrations.wolfram.com/VoronoiDiagrams/ demonstrations.wolfram.com/VoronoiDiagramsForEurop… demonstrations.wolfram.com/VoronoiDiagramsIn3D/ Pictures used. en.wikipedia.org/wiki/Voronoi_diagram#/media/File:… gisgeography.com/wp-content/uploads/2016/09/Vorono… en.wikipedia.org/wiki/Delaunay_triangulation#/medi… en.wikipedia.org/wiki/Delaunay_triangulation#/medi… en.wikipedia.org/wiki/Delaunay_triangulation#/medi… en.wikipedia.org/wiki/Delaunay_triangulation#/medi… en.wikipedia.org/wiki/Euclidean_minimum_spanning_t… YouTube and co.    • Voronoi Diagrams [IB Math AI SL/HL]      • Voronoi Diagram Intro Part 1 - Basic ...      • Delaunay Triangulation