Voronoi Diagram on a Sphere
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration generates the Voronoi diagram of points on the unit sphere. This is done using the fact that the Voronoi vertices are the unit normals to the faces of the convex hull. To move the points, hold the Shift key and mouseover the 3D graphic.
Contributed by: Maxim Rytin (May 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
detailSectionParagraphPermanent Citation
"Voronoi Diagram on a Sphere"
http://demonstrations.wolfram.com/VoronoiDiagramOnASphere/
Wolfram Demonstrations Project
Published: May 12 2011
Voronoi Diagrams in 3D
Enrique Zeleny
Minimal Enclosing Sphere
Frederick Wu
A Tessellation of the Sphere
Octavio R. Arzate
Random Points on a Sphere
Ed Pegg Jr
Spanning Tree of Points on Sphere
Michael Schreiber
Fate of the Euler Line and the Nine-Point Circle on the Sphere
Paolo Maraner
Voronoi Diagrams
Ed Pegg Jr and Jeff Bryant
Weighted Voronoi Diagrams
Erik Mahieu
Taxicab Voronoi Diagram by a Cellular Automaton
Ed Pegg Jr
Voronoi Diagrams for European Cities
Trey Taylor
-
Cross Sections of Regular Polyhedra
Maxim Rytin -
Torus Coil
Maxim Rytin -
Voronoi Diagram on a Sphere
Maxim Rytin -
Colorizing an Image
Maxim Rytin -
Tiling a Path with a Single Trapezoid along a Given Curve
Maxim Rytin -
Embeddings of Graphs in a Torus and in a Moebius Strip
Maxim Rytin -
The Alexander Polynomial of a Knot
Maxim Rytin -
The Monodromy Group of an Algebraic Function
Maxim Rytin -
Number of Normals to a Curve
Maxim Rytin -
Envelope of Two Families of Plane Curves
Maxim Rytin