mathfan2 | 8 years ago | on: Gerrymandering with geographically compact districts
mathfan2's comments
mathfan2 | 8 years ago | on: Gerrymandering with geographically compact districts
The OP also uses split lines, but they are optimized for maximum partisan effect.
mathfan2 | 8 years ago | on: Gerrymandering with geographically compact districts
That's true, but the point of the demonstration is simply that the snaky, salamander-looking shapes are not necessary.
There's every reason to believe that you can achieve stunning examples of partisan gerrymandering under various "nice shape" criteria. You are correct that the "n-1 split lines" is simply very easy to state mathematically.
mathfan2 | 8 years ago | on: An impossibility theorem for gerrymandering
If a machine gave you a crazy-shaped district map because that's the only way to get "low efficiency gap", would you agree to them?
mathfan2 | 8 years ago | on: An impossibility theorem for gerrymandering
Blue is indeed a slight majority of every "3x lattice"-aligned square. But if you take the top left square and shift one down and one right, you'll see that in fact red wins that 3x3 square decisively: 8 to 1.
> why shouldn't it win every district?
Maybe you think it should, but whoever drew the districts would run afoul of the newish gerrymandering measure the Supreme Court is considering.
One suggestion in this direction is the shortest split line algorithm: http://www.rangevoting.org/GerryExamples.html
(The OP also uses split lines, but they are optimized for maximum partisan effect rather than minimum length.)