Hi James,

After some thought, it seems that the Input objects to a centroid node need to be defined.
It is necessary to "parse" the Input object into Cases, which should be possible with multiple IF statements.

I do not think that a node multiprocess sub function is required, (?), just sequential processing of the input objects, with For loops.

So far the centroid is being sought for Circles, Ellipses, and Closed Planar polygons consisting of line edges.
I've re-read Wikipedia centroid topic, and the centroid also applies to a closed planar polygon with a circular hole in it.

A faceted surface, (possibly 3D), would be broken down into Faces, inside or outside of the node, and each face tested to see if a centroid applies.

What about wireframe objects? Maybe planarize them?

At present, the centroid only applies to planar objects, or planar faces of 3D objects.

Example objects: Cube, open cube, cuboid, tapered cuboid, tetrahedron, icosahedron, nonRegular solid with planar faces,
cylinder, rounded off tetrahedron with a circular faces, and edges rounded off...

A look at scripts which handle faces might be helpful.

- Brian

Wikipedia also describes centroids for regions bounded by two continuoiu functions. Are NURBS curves continous functions, that would qualify? (Integration required...)

Centroids of NURBS bounded areas are possible to calculate. There is one Chinese article, but it was not downloadable...
Maybe for MoI version 6, Michael will create a factory for centroids... :-)

This is another link:
https://www.intmath.com/applications-integration/5-centroid-area.php
http://web.mst.edu/~ide50-3/schedule/lessons/21_Centroids.pdf