> ## Documentation Index
> Fetch the complete documentation index at: https://docs.ntop.com/llms.txt
> Use this file to discover all available pages before exploring further.

# Delaunay Lattice

The **Delaunay Lattice** creates a lattice forming a Delaunay tetrahedralization from a list of points, as shown below. The lattice consists of triangles that maximize the minimum angle in each triangle. Tetrahedralization requires at least four points to run.

<Frame>
  <img src="https://files.learn.ntop.com/lessons/delaunay-lattice/210_20_1-delaunay.png" />
</Frame>

Choose from the following lattice creation methods:

* **Mesh edges:** Creates lattice beams along the mesh edges.
* **Vertex Centroid:** Creates a vertex at each mesh face's centroid and the mesh vertices. Lattice beams connect the vertices.
* **Dual:** Creates a vertex at the centroid of each mesh face and creates a connecting beam to the next closest mesh centroid.

<Frame>
  <img src="https://files.learn.ntop.com/lessons/delaunay-lattice/delaunay.png" />
</Frame>

## Stochastic Lattice Types

Since maximizing minimum angles prevents long beams, the resulting Delaunay structures are typically stiff. The result is a stochastic, stiff lattice. In contrast, the Voronoi lattice is typically softer/ more flexible.

<Frame>
  <img src="https://files.learn.ntop.com/lessons/delaunay-lattice/image-9-1024x436.png" />
</Frame>
