In order to eliminate or greatly minimize the practice of gerrymandering, we wish to delegate the drawing of districts to more politically balanced, neutral or fairer entities. Independent commissions are touted as a more balanced alternative to state legislators directly drawing districts. Any such entities should be staffed with statisticians, surveyors and data analysts with some oversight. Their job will be to construct districts with equal populations (as nearly as possible) that contain associative community groups in such a way as to derive a higher number of competitive districts.
Some parts of a state, county, etc. will be more populated with a certain political tendency and their districts will just have to naturally reflect that. Other parts may be more mixed and a district structure arranged there should allow for more competitive races. The final districts settled upon should be chosen from an adequate number of proposed district plans within parameters submitted by commission or whatever delegated entity.
That final version chosen in each periodic redrawing of districts would best be done by the current legislature with a reunion of the previous incarnations of the legislature occurring after the last redrawing or after the last periodic consideration thereof.
We understand that straight or smooth-curve lines as seen on a map at satellite level can be a rougher cut, generally meandering about that line when zoomed in at street level through residential clusters encountered. We also use the term 'convex' in the sense that all points within can connect with all other points within whose lines between them are within the shape as well.
As many districts as possible should be convex or subtlely non-convex. Greater exceptions are reserved to districts along the irregular boundaries of a state, county, etc. or those appending panhandles. As well exceptions are made to districts edging natural or man-made obstacles when those obstacles may limit interaction of groups of communities across those edges like dams, nature preserves, swamps, bodies of water, major highways and mountain ranges. Exceptions pertain to districts containing more concentrated populations of sufficient size like large cities or metro areas. Making exceptions for districts that will better represent a particular minority culture, creed or ethnicity thereabouts allowed but should not go to absurd lengths or become the basis of district delineations. Those exceptions should occur about areas with such natural demographics and their populations not too greatly separated by distance.
Following these guidelines should eliminate or greatly reduce nationally the occurrence of unusually long, thin, wormy and snaky districts especially that are forced for electoral gain or those of land-locked, intricate jigsaw-puzzle shape too pinched or warped which separate associative areas or exhibit non-associative areas. Under this plan, state districts will more likely better assemble or fit about the core(s) or backbone of the states geographically or population-wise.