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2 $begingroup$ I'm looking for further information of the undocumented function Region`Mesh`MeshNearestCellIndex[r] (Thanks to Henrik Schumacher!) The function considers a meshregion r and detects the nearest cell to a given point. Trying to understand I look at a very simple triangle mesh in space: pi={{0., 0., 0.303}, {1., -0.5, 0.09}, {0.7, 0.8, -0.233}, {0.,1., -0.584}, {-0.8, -0.7, -0.734}} Δi = {{1, 2, 3}, {1, 3, 4}, {1, 4, 5}, {1, 5, 2}}; r = MeshRegion[pi , Triangle[Δi]]; HighlightMesh[r, {Labeled[0, "Index"], Labeled[2, "Index"]}] Now I want to evaluate the nearest cells of point 1 Region`Mesh`MeshNearestCellIndex[r , pi[[1]] ] (*{2, 1}*) Expecting four possible cells as nearest neighbors MMA returns element #1. My question: How does MMA evaluate the priorit