Optimal designs for the cylindrical design exploration and the inclined plane spanning full sector area studies. The solid red stars in (a) are the Pareto set for the cylindrical texture identified from the contours of Figs. 6(c) and 6(d). In (b), the two objectives ( and FN) are plotted together as a function of β for the inclined plane design. The gray area indicates the region of suboptimal designs. (a) Optimal designs comparison and (b) β − ηa/η0, β − FN plots.