It is obvious to me that redistricting should not be performed by ‘commissions’ (obvious nests of corruption!). So some algorithmic (mathematically precise) method is called for. Here’s one:
We are clearly reconciling geography with population, so that’s a bit tricky. For a large enough area we would use ‘sailor’s math’ (measuring distance in terms of angles on the earth’s surface to account for earth curvature), but the basic principles will still apply. First we frame the region to be partitioned within a rectangle. Now. We can draw a line East to West which neatly divides the North and the South into regions of equal population. Or alternatively we could draw one from North to South which neatly divides the East and West into equal regions of equal population. If we 'overlay these two lines we will have four rectangles. However for example, the the NE and the SW rectangles could have huge populations, while the NW and the SE rectangles could have little or even no population.
But we could draw 15 East to West lines that divide the North and South into 16 equal population regions. An do just the same with 15 lines from North to South to produce 16 equal East to West population regions. Wherever these perpendicular lines intersect there will exist a point we will call a ‘quadripoint’. (And we will then have 256 rectangles.)
(Just to get technical, the number of quadripoints (Pq) will correspond to the number of rectangles (Rn) according to: =/ Pq = (sqrt(Rn) - 1)^2 /=.) So we will have 225 quadripoints.
Now. Each of these 225 quadripoints will form the point of intersection of four (northeast (NE), southeast (SE), southwest (SW), and northwest (NW)) rectangles, and without too much difficulty we can find that particular quadripoint whose four rectangles are the most equal in terms of population.
Then we can repeat this process (perhaps with 4 rather than 16 regions) with each of our four new essentially equal-population rectangles, and then have 16 essentially population-equal rectangles. And these would be our districts.