One of the frequently seen mathematical patterns in nature is the Voronoi pattern whose 4  variations can be downloaded on this page.

  • Round gradient Voronoi 2d pattern
  • Voronoi 2D pattern with offset
  • Voronoi 2D pattern with rounded corners and offset
  • Voronoi diagram with 3 attractor points

This pattern is also called a Voronoi tessellation, Voronoi decomposition and Voronoi partition. It is named after the Russian mathematician Georgy Voronoi.

In mathematics, a Voronoi diagram is a method of partitioning a plane into regions which are called Voronoi cells. It is very easy to make a Voronoi pattern. Scatter randomly points on a plane, connect each point with a line to another point that is at its closest distance, and then bisect each of these lines with a perpendicular. After these lines are trimmed, you will get a Voronoi pattern.

 

Voronoi 2D patterns
Pattern category
Available file formats

In addition to 2D CAD (.dwg) file format, vector (.eps and .svg) file formats exported from CAD program are also available for download.

 

The Voronoi pattern and various similar mathematical patterns can be surprisingly often seen in nature: on a giraffe’s body, a dragonfly’s wings, seed pods ... A huge number of Voronoi patterns and its variations in nature can be identified when seen through the microscope at the cellular level. All four Voronoi patterns that you can download here are drawn in Rhinoceros 3D CAD software using Grasshopper plug-in. The Voronoi pattern can also be applied to 3D surfaces; on page Topological mesh modeling examples, you can see and download (Voronoi sphere 3D model) for free a Voronoi pattern that is applied to a sphere in the form of opening.?

 

Download DWG 2D CAD file format
Download EPS vector file format
Download SVG vector file format