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A face is a two-dimensional polygon, the space bounded by three or more edges.
3
votes
Geometry Nodes. Find the center of a rectangle whether or not there are multiple vertices on...
(UPDATE: I figured it out; see my second solution)
Instead of using the blender-calculated "Face Area" per-face attribute
on the original faces, it calculates its own, as the sum of the triangle
areas … The next lower-level helper node is "Invert Mapping on Faces". Note that the domain=Faces is still hard-coded here, but the type=Vector is not. …
4
votes
Geometry Nodes. Find the center of a rectangle whether or not there are multiple vertices on...
This also turned out to be a nice exercise and example of of walking around faces and doing computations on them in geometry nodes, using the "Face of Corner", "Corners of Face", and "Vertex of Corner" …