VORONOI

The VORONOI creates the VORONOI diagram, also called the Thiesen diagram.

VORONOI diagram of a random set of points in the plane (all points are contained in the image).

In mathematics, a VORONOI a special type of decomposition of a given space, for example a spatial space, determined by the distance to a given family of objects (subsets) in space.

These objects are usually called the symbols or generators (although names like "seeds" are also in use).

Each session is associated with the corresponding VORONOI cell, this is a set of all points in the given space where the distance to the given point is not greater than its distances to other objects.

It was later named Georgy VORONOI, and also called VORONOI Tessela, a VORONOI Decomposition, or a Dirichlet Mosaic (named after Lejeune Dirichlet).

VORONOI diagrams can be found in various fields of science and technology, even in the art, with practical applications and teacons.

See more in the Wikipedia

To draw the diagram, you need to have blocks or points inserted in the AutoCAD model space:

So, call the VORONOI command, select the points and check the options you want:

The drawn in the limits of the points, plus the margin informed.

You can draw:

1. The diagram itself, only with the edges
2. The cells formed by the edges, such as polylines
3. The Delaunay triangulation

Cells

Edges

Delaunay triangulation

Note, the triangle can assume the Z of the points reported