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[**triangle/tri_circumcenter**(shape_pts)](https://openhome.cc/eGossip/OpenSCAD/lib3x-tri_circumcenter.html) | return the circumcenter of a triangle.
[**triangle/tri_incenter**(shape_pts)](https://openhome.cc/eGossip/OpenSCAD/lib3x-tri_incenter.html) | return the incenter of a triangle.
**triangle/tri_ear_clipping**(shape_pts, ret = "TRI_INDICES", ...) | triangulation by [ear clipping](https://en.wikipedia.org/wiki/Polygon_triangulation#Ear_clipping_method).
[**triangle/tri_ear_clipping**(shape_pts, ret = "TRI_INDICES", ...)](https://openhome.cc/eGossip/OpenSCAD/lib3x-tri_ear_clipping.html) | triangulation by [ear clipping](https://en.wikipedia.org/wiki/Polygon_triangulation#Ear_clipping_method).
**triangle/tri_delaunay**(points, ret = "TRI_INDICES") | return the [Delaunay triangulation](https://en.wikipedia.org/wiki/Delaunay_triangulation) of the points.
**triangle/tri_delaunay_indices**(d) | return triangle indices from a delaunay object.
**triangle/tri_delaunay_shapes**(d) | return triangle shapes from a delaunay object.

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# tri_ear_clipping
Given a 2D shape. This function performs a polygon triangulation based on [Ear clipping](https://en.wikipedia.org/wiki/Polygon_triangulation#Ear_clipping_method).
**Since:** 3.0
## Parameters
- `shape_pts` : The shape points.
- `ret` : The type of returned data. Default to `"TRI_INDICES"` which returns the indices of the `shape_pts`. If `"TRI_SHAPES"` is given, return triangle shapes.
- `epsilon` : An upper bound on the relative error due to rounding in floating point arithmetic. Default to 0.0001.
## Examples
use <triangle/tri_ear_clipping.scad>;
shape = [
[0, 0],
[10, 0],
[12, 5],
[5, 10],
[10, 15],
[0, 20],
[-5, 18],
[-18, 3],
[-4, 10]
];
all_indices = tri_ear_clipping(shape);
for(tri_indices = all_indices) {
offset(-.1)
polygon([for(i = tri_indices) shape[i]]);
}
![tri_ear_clipping](images/lib3x-tri_ear_clipping-1.JPG)
use <triangle/tri_ear_clipping.scad>;
shape = [
[0, 0],
[10, 0],
[12, 5],
[5, 10],
[10, 15],
[0, 20],
[-5, 18],
[-18, 3],
[-4, 10]
];
tris = tri_ear_clipping(shape, ret = "TRI_SHAPES");
for(tri = tris) {
offset(-.1)
polygon(tri);
}
![tri_ear_clipping](images/lib3x-tri_ear_clipping-1.JPG)

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/**
copy from triangulate.scad, would move into triangle category
* tri_circumcenter.scad
*
* @copyright Justin Lin, 2021
* @license https://opensource.org/licenses/lgpl-3.0.html
*
* @see https://openhome.cc/eGossip/OpenSCAD/lib3x-tri_ear_clipping.html
*
**/
use <_impl/_tri_ear_clipping_impl.scad>;
// ret: "TRI_SHAPES", "TRI_INDICES"
function tri_ear_clipping(shape_pts, ret = "TRI_INDICES", epsilon = 0.0001) =
let(tris = _tri_ear_clipping_impl(shape_pts, epsilon))
ret == "TRI_INDICES" ? tris : [for(tri = tris) [for(idx = tri) shape_pts[idx]]];