> ## 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

## About this Block

**What it does:** Creates a Lattice forming a Delaunay tetrahedralization from a list of points.

**Tips:**

* You can configure the Method input to change the mesh features for creating the lattice.
* Tetrahedralization requires at least four points to run.
* 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.
* The Thickness of the lattice is a Scalar Field type, which allows for a variable Thickness.
* Open up the block's Properties Panel to view the beam, implicit, and thick graph properties.
  * These properties are populated based on the type of Unit Cell you use. An error sign with a tooltip appears next to the property if it is empty.

![Delaunay](https://storage.googleapis.com/files-learn/static/ExtendedBlockDocs/delaunaymethods.png)

***

Creates a Lattice forming a Delaunay tetrahedralization from a Point List.

### Inputs

| Name | Type | Description |
| - | - | - |
| Vertices | [Point List](../../../../block-documentation/types/point) | Point List to connect via a Delaunay tetrahedralization. |
| Method | Volume Lattice Enum | Mesh features for Lattice creation. |
| Mesh Edges: Beams created from Mesh element edges. | | |
| Vertex Centroid: Beams created from the centroid of each face to each vertex | | |
| Dual: Beams created from the centroid of each face to the midpoint of each face's edge. | | |
| Thickness | [Scalar Field](../../../../block-documentation/types/scalar-field) | Lattice beam thickness. |
| Include surface | [Bool](../../../../block-documentation/types/bool) | Option to generate a Lattice on the surface. |

### Outputs

| Type |
| - |
| [Lattice](../../../../block-documentation/types/lattice) |


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