> Very interesting.  Do you know what these "certain" sample sizes are? Is 
> there any benefit (performance or otherwise) to using certain blur_samples 
> values?  (I'm thinking of how there are certain "optimal" values for 
> adaptive area light sizes.)

The grids contain 4, 7, 19, and 37 values.

grid1 (4 values, square)
  {-0.25,  0.25},
  { 0.25,  0.25},
  {-0.25, -0.25},
  { 0.25, -0.25}

grid2 (7 values, hexagonal)
  {-0.288675,  0.000000},
  { 0.000000,  0.000000},
  { 0.288675,  0.000000},
  {-0.144338,  0.250000},
  {-0.144338, -0.250000},
  { 0.144338,  0.250000},
  { 0.144338, -0.250000}


grid3 (19 values, hexagonal)
  {-0.192450,  0.333333},
  {-0.192450, -0.333333},
  { 0.192450,  0.333333},
  { 0.192450, -0.333333},
  { 0.384900,  0.000000},
  {-0.384900,  0.000000},
  { 0.000000,  0.000000},
  { 0.000000,  0.333333},
  { 0.000000, -0.333333},
  {-0.288675,  0.166667},
  {-0.288675, -0.166667},
  { 0.288675,  0.166667},
  { 0.288675, -0.166667},
  {-0.096225,  0.166667},
  {-0.096225, -0.166667},
  { 0.096225,  0.166667},
  { 0.096225, -0.166667},
  {-0.192450,  0.000000},
  { 0.192450,  0.000000}


grid4 (37 values, hexagonal)
  { 0.000000,  0.000000},
  {-0.216506,  0.375000},
  { 0.216506, -0.375000},
  {-0.216506, -0.375000},
  { 0.216506,  0.375000},
  {-0.433013,  0.000000},
  { 0.433013,  0.000000},
  {-0.144338,  0.250000},
  { 0.144338, -0.250000},
  {-0.144338, -0.250000},
  { 0.144338,  0.250000},
  {-0.288675,  0.000000},
  { 0.288675,  0.000000},
  {-0.072169,  0.125000},
  { 0.072169, -0.125000},
  {-0.072169, -0.125000},
  { 0.072169,  0.125000},
  {-0.144338,  0.000000},
  { 0.144338,  0.000000},
  {-0.360844,  0.125000},
  {-0.360844, -0.125000},
  { 0.360844,  0.125000},
  { 0.360844, -0.125000},
  {-0.288675,  0.250000},
  {-0.288675, -0.250000},
  { 0.288675,  0.250000},
  { 0.288675, -0.250000},
  {-0.072169,  0.375000},
  {-0.072169, -0.375000},
  { 0.072169,  0.375000},
  { 0.072169, -0.375000},
  {-0.216506,  0.125000},
  {-0.216506, -0.125000},
  { 0.216506,  0.125000},
  { 0.216506, -0.125000},
  { 0.000000,  0.250000},
  { 0.000000, -0.250000},

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