### File

| New Point Set Asks for the wanted number of points and creates a uniformly distributed random point set.

Load Points
Shows a "Open file" dialog. A readable file is supposed to consist of

- an Iso_cuboid_3 given by six values in the order xmin ymin zmin xmax ymax zmax, separated by white spaces,
- a list of points that are separated by white spaces. A point has to be represented as a list of three coordinates that again are separated by white spaces.

| Save Points Shows a "Save file" dialog and saves the current points in the same format as expected by "Load Points".

### Control

| Step Performs one Lloyd step.
| Play Starts performing repeated Lloyd steps.
| Show 8 copies Shows eight periodic copies arranged in a 2x2x2 cube. This is useful for small point sets to better see what the Voronoi cells look like.
| 2D version Switches to 2D. The 2D version is simulated using the 3D periodic triangulation, so it is very slow. The 2D version only works for random point sets.

The speed slider can be used to increase the pauses between two separate Lloyd steps. By default the demo runs on maximum speed.