Polsby-Popper Test
The Polsby-Popper Test is a mathematical compactness measure of a shape developed to quantify the degree of gerrymandering of political districts. The method was developed by lawyers Daniel D. Polsby and Robert Popper, though it had earlier been introduced in the field of paleontology by E.P. Cox.[1] The formula for calculating a district's Polsby-Popper score is PP(D)=4πA(D)p2{displaystyle PP(D)={frac {4pi A(D)}{p^{2}}}}
![[0,1]](https://wikimedia.org/api/rest_v1/media/math/render/svg/738f7d23bb2d9642bab520020873cccbef49768d)
See also
- Isoperimetric inequality
References
^ Cox, E.P. 1927. "A Method of Assigning Numerical and Percentage Values to the Degree of Roundness of Sand Grains." Journal of Paleontology 1(3): pp. 179-183
^ Crisman, Karl-Dieter, and Jones, Michael A. The Mathematics of Decisions, Elections, and Games pg. 3
^ Miller, William J., and Walling, Jeremy D. The Political Battle Over Congressional Redistricting pg. 345
^ Ansolabehere, Stephen, and Palmer, Maxwell A Two Hundred-Year Statistical History of the Gerrymander pp. 6-7
^ Monorief, Gary F. Reapportionment and Redistricting in the West pg. 27
