Trying to create a Voronoi wireframe pattern from a triangulated mesh I’ve realised the Dual Mesh node does not compute a Delaunay Triangulation as I thought it would. The circumcentre of the triangles should determine their corresponding Voronoi vertices, but they appear in the centre of the triangles instead:

But… the the duality between delaunay and voronoi is a specific one because for every three points of a triangle they do define a specfic circle in space and so a midpoint/center of that circle.

The dual mesh node simply uses the midpoint off any n-gon as vertex and connect it to the next neighbour n-gon midpoint.

So what should a “delaunay-voronoi-dual-node” should do on a mesh with n-gons (n>3) ???

Well, it could simply calculate the circumcentre of the n-gons such that only when a mesh were made up of just triangles the result would actually be a Delaunay triangulation. The mode could be called differently, but that was the idea. I don’t know if that generalised duality/algorithm already has a name. Maybe the node could allow modes like “Vertices to Incentres”, “Vertices to Circumcentres”, etc.

Wow, you seem to have a procedural goldmine in there! I’ll definitely give it a shot (and take a look at some other of your creations!), although I still think it would be great if the Dual Mesh node implemented this functionality.