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Justin Lin
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- [matrix/m_determinant](https://openhome.cc/eGossip/OpenSCAD/lib2x-m_determinant.html)
### Voronoi
- voronoi/vrn2_from
- [voronoi/vrn2_from](https://openhome.cc/eGossip/OpenSCAD/lib2x-vrn2_from.html)
- voronoi/vrn2_space
- voronoi/vrn2_cells_from
- voronoi/vrn2_cells_space

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# vrn2_from
Creats a [Voronoi diagram](https://en.wikipedia.org/wiki/Voronoi_diagram) from a list of points.
**Since:** 2.4
## Parameters
- `points` : Points for each cell.
- `spacing` : Distance between cells. Default to 1.
- `r`, `delta`, `chamfer` : The outlines of each cell can be moved outward or inward. These parameters have the same effect as [`offset`](https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Transformations#offset).
- `region_type` : The initial shape for each cell can be `"square"` or `"circle"`. Default to `"square"`.
## Examples
use <voronoi/vrn2_from.scad>;
points = [for(i = [0:50]) rands(-20, 20, 2)];
vrn2_from(points);
translate([60, 0, 0])
vrn2_from(points, region_type = "circle");
![vrn2_from](images/lib2x-vrn2_from-1.JPG)
use <voronoi/vrn2_from.scad>;
use <hollow_out.scad>;
xs = rands(0, 40, 50);
ys = rands(0, 20, 50);
points = [for(i = [0:len(xs) - 1]) [xs[i], ys[i]]];
difference() {
square([40, 20]);
vrn2_from(points);
}
hollow_out(shell_thickness = 1) square([40, 20]);
![vrn2_from](images/lib2x-vrn2_from-2.JPG)