Figure illustrates how the VFZ-GBO average NN distance varies with the cardinality of the set (i.e. number of random VFZ-GBOs in the set). The average NN distance (over approximately 70 trials) of set sizes between 100 and 50 000 be-tween (10.7175 ± 0.3684)°and (2.6479 ± 0.2254)°, respectively (d Ω ). Additionally, a curve fit is given in the range of 388 to 50 000. For a specific 50 000 VFZ-GBO set, the NN GBO distance is (2.870 20 ± 0.691 17)°(Figure ) while the average 100-th NN distance is within 10°(Figure ). While not shown, we also found that the sampling scheme used in this work (sampling misorientation and boundary plane normal as opposed to sampling GBOs directly) produced no qualitative differences in the observed distributions.