I don't see why the average area of the triangles attached to a node is of any interest. Suppose I have 1 triangle with area 100 and 1000 triangles with area .001. The average area is then (100*1+1000*.001)/(1001)=101/1001=0.100899. In what way does this represent the area "next to" this node? Perhaps as some measure of the local density of triangulation? But the total area in the surface that is closer to this node than to any other node is the division by 3 result: 101/3=33.6667.
Speaking of decaf or caf ....
Zorkon the Consternated
