Three-Dimensional Voronoi Mesh

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

A three-dimensional Voronoi diagram partitions 3D space into a set of polyhedra linked to sites. Points inside the polyhedron for a site are closer to than to any other site.


This Demonstration lets you look inside a 3D Voronoi diagram using two-dimensional cross sections perpendicular to the axis.

The cross sections are sets of polygons that change with each value of as you drag the slider. The "next site" button takes a cross section at for the next site and shows the site as the point .


Contributed by: Erik Mahieu (September 2016)
Open content licensed under CC BY-NC-SA



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.