  Effective transport properties of heterogeneous structures are predicted by
geometric microstructural parameters, but these can be difficult to calculate.
Here, a boundary element code with a recurrent series method accurately and
efficiently determines the high order parameters of polygonal and conformal
prisms in regular two-dimensional lattices and Voronoi tessellations (VT). This
reveals that proximity to simpler estimates is associated with: centroidal VT
(cf random VT), compactness, and VT structures (cf similarly compact
semi-regular lattices). An error in previously reported values for triangular
lattices is noted.
