Compactness is having the minimum distance between all the parts of a constituency (a circle, square, or a hexagon are examples of very compact district). Various methods have been developed to measure compactness and in redistricting, a district that is not compact may be considered gerrymandered.
Maptitude for Redistricting is the professional tool for political redistricting. It is used by a supermajority of the state legislatures, political parties, and public interest groups. Maptitude for Redistricting computes nine measures of compactness.