In mathematics, a Voronoi (Thiessen) diagram, sometimes also called Voronoi tessellation, decomposition or Dirichlet tessellation, is a way of partitioning space determined by the distances to a given set of objects in space, for example a set of points. An example is a partitioning of a plane that assigns a region to each point P, such that all points in the region that are closer to the point P than to any other point in the initial set.

These diagrams have many applications in geometry, natural sciences, sociology, hydrology, architecture, chemistry, arts, etc. Among other things, they are used for optimal partitioning of plots, generation of cell structures, lattice structures for 3D printing, art, football, etc.

If you want to generate Voronoi structures in AutoCAD (from a given set of points), you can use the Voronoi LISP utility available on Download. After loading (APPLOAD), enter the VORONOI command and specify a set of initial, so-called seed points (you can generate these with the GENPTS command). Optionally, you can also generate hatched fills for individual cells of the diagram (Voronoi cells). And then color them randomly, e.g. using the Scatter utility.

Have we helped you? If you want to support the CAD Forum web service, consider buying one of our CAD applications, or our custom software development offerings, or donating via PayPal (see above).
You may also add a link to your web - like this "fan" link:

Featuring: Publish interactive 3D PDF models from AutoCAD, Inventor or Revit with Share3D

Please use these tips at your own risk. Arkance Systems is not responsible for possible problems that may occur as a result of using any of these tips.