Districting and Representation, explained.
Districting translates geographic votes into seats; different contiguous equal-population maps can yield different representation. Gerrymandering concerns manipulation of boundaries for advantage.
Why it happens
Twenty-five voters form five districts of five. The initial thirteen A voters win four row districts but two column districts. Clicking cells changes votes; toggling the map alone preserves the population and vote totals.
Districting translates geographic votes into seats; different contiguous equal-population maps can yield different representation. Gerrymandering concerns manipulation of boundaries for advantage.
Read the result
Toggle maps without changing voters for the controlled comparison. Clicking a voter changes a different variable: the vote geography itself.
A worked example
Translate the same twenty-five votes into seats
Keep the initial thirteen A votes and twelve B votes, with five people in every district.
Compare four A seats under row districts with two A seats under column districts, preserving all votes.
Edit a voter and compare both maps again, distinguishing map effects from changed preferences and avoiding claims of real-world intent.
OPTIONAL DEEPER DETAILGo deeper: inside the model
Inside this model
Twenty-five voters form five districts of five. The initial thirteen A voters win four row districts but two column districts. Clicking cells changes votes; toggling the map alone preserves the population and vote totals.
Where this idea is useful
A practical use
Evaluate district outcomes against alternative feasible maps and relevant criteria rather than interpreting vote share alone.
A common misconception
“A vote–seat mismatch alone proves illegal gerrymandering.”
Representation depends on geography, map constraints and electoral rules; legal and intent judgments require evidence beyond a single mismatch.
What this explanation leaves out
- Equal cell populations and two simple contiguous maps omit real boundaries, turnout and legal criteria; seat differences alone do not prove intentional manipulation.
Are the row and column districts comparable in population?
Yes. Every district contains exactly five equal-population cells and remains contiguous under either of these two maps.
What comparison maps and constraints would make a representation claim persuasive?
Associated thinkers
Associations marked provisional are awaiting source review.
Further reading
Explore the original research or the teaching reference behind this experiment.