Neutral Lines · Rednamyrreg (gerrymander, spelled backwards)

Fair congressional districts, ready to use.

Fair: one rule for all 50 states, using nothing but population and legal boundaries. It never sees party, race or incumbents, not even to choose between maps. Each state gets the single plan that splits the fewest counties and is the most compact, so nobody, including us, picks the outcome.
Practical: every district is equal in population to within a few people, in one piece, and built from whole counties, towns and precincts. Every plan passes federal law and comes as a standard block file that election offices can load.

The whole rule, in six lines

  1. Same size. Every district has the same number of people. Everyone counts.
  2. One piece. Every district is one connected piece.
  3. Blindfolded. The map never looks at how people vote, what race they are, or where politicians live.
  4. Don't cut places apart. Cut as few counties as possible. If a county has to be cut, keep its cities and towns whole. If a town has to be cut, keep its voting precincts whole.
  5. Keep people close to the middle. If two maps cut the same number of counties, pick the one where people live closest to the middle of their district.
  6. Once every 10 years. Make a new map only after each census. Anyone can check the math, and if someone finds a better map under these rules, theirs wins.

That's all of it. The details, and the proof that each rule is followed, are below.

Every figure is computed from 2020 Census blocks and compared with the maps in use for November 2026. How each claim is checked · How it looks from every side · Sources

Interactive map

435 districts, drawn by the formula

Switch between the formula's plan, the districts in use for the November 2026 elections, and an annotated history of congressional maps since 1789. Hover over a district for its numbers, and click a state for a side-by-side scorecard. Partisan colors use each area's average two-party vote across every statewide race from 2016 to 2020; the formula never saw those numbers while drawing.

Scroll or pinch to zoom · drag to pan · click a district for its story
History

Two centuries of line-drawing

The Constitution apportions House seats among the states by population but says nothing about how a state should divide its seats. For most of the nineteenth century some states elected their whole delegation at large. Congress first required single-member districts in 1842, added equal population (1872) and compactness (1901, repeated in 1911), then quietly dropped all three standards in the Reapportionment Act of 1929. For the next three decades, districts could go unredrawn for decades and differ in population many times over.

The word itself comes from an 1812 Massachusetts state-senate map signed by Governor Elbridge Gerry, which included a district so contorted that the Boston Gazette drew it as a salamander. The technique is simple:

    Why courts stepped back

    Two very different doctrines govern district lines today. On population equality, the courts are strict: since Wesberry v. Sanders (1964) congressional districts must be "as nearly equal as practicable," and Karcher v. Daggett (1983) struck down a New Jersey plan whose largest and smallest districts differed by only 0.7%. On partisan fairness, the federal courts have withdrawn entirely. Rucho v. Common Cause (2019) held 5–4 that partisan-gerrymandering claims raise "political questions" that federal courts cannot resolve, partly because no one had offered a manageable standard for how much partisanship is too much.

    The third doctrine, race, has narrowed sharply. Thornburg v. Gingles (1986) and Allen v. Milligan (2023) read Section 2 of the Voting Rights Act as sometimes requiring majority-minority districts. On April 29, 2026, Louisiana v. Callais (6–3) struck down Louisiana's second majority-Black district, saying Section 2 liability now needs a "strong inference" of intentional discrimination and that racially polarized voting must be shown in a way that partisanship cannot explain.

    That leaves the field to the states: independent commissions (Arizona, California, Colorado, Michigan and others, upheld in Arizona State Legislature v. AIRC, 2015), state constitutional "fair districts" clauses, and state courts (Moore v. Harper, 2023). It also leaves an opening for the argument this site makes: a rule precise enough that a court, or a voter, can check whether it was followed.

    The 2025–26 redistricting war

    Mid-decade redraws are back

    Redistricting used to happen once a decade, after the census. In July 2025 President Trump urged Texas to redraw its map before the 2026 midterms, and other states followed, some to add Republican seats and some, in retaliation, to add Democratic ones. Callais then set off a second round across the South. According to AP and NCSL, nine states will use new House maps in November 2026: Alabama, California, Florida, Louisiana, North Carolina, Ohio, Tennessee, Texas and Utah. Sabato's Crystal Ball (Sept. 15, 2026) put the net effect at R+2 to R+6 seats. AP estimated that about one in ten potential voters is now in a different district than in 2024.

    StateWhat happenedNew map in use Nov. 2026?
    TexasNew map signed Aug. 29, 2025 (designed for R+5). A lower court found it a racial gerrymander, but the Supreme Court stayed that ruling (Dec. 4, 2025) and summarily reversed it on Apr. 27, 2026.Yes
    CaliforniaProp 50 (Nov. 4, 2025, about 64% yes) set aside the citizen commission's map until 2030, in retaliation (D+5).Yes
    North CarolinaEnacted Oct. 22, 2025, targeting NC-1. NC governors cannot veto maps.Yes
    OhioCommission adopted a bipartisan map 7–0 on Oct. 31, 2025, nominally 12–3 R.Yes
    UtahA court ruled the Legislature's repeal of the voter-passed Prop 4 unconstitutional and imposed a map with a Democratic-leaning Salt Lake seat (Nov. 10, 2025).Yes
    FloridaMap signed May 4, 2026 (R+2 to R+4). The state Supreme Court let it stand for 2026; litigation continues.Yes
    Louisiana · Alabama · TennesseeRedrawn after Callais: Louisiana eliminated its second majority-Black district, Alabama restored its 2023 map, and Tennessee split Memphis.Yes
    MissouriMap signed Sept. 28, 2025, then suspended pending a referendum (Prop A, Nov. 3, 2026). The Supreme Court declined three times to let it be used.No
    VirginiaVoters approved a redistricting amendment on Apr. 21, 2026. The state Supreme Court voided it 4–3 on May 8.No
    IndianaThe state Senate rejected a 9–0 Republican map, 31–19, on Dec. 11, 2025.No
    Maryland · New YorkConstitutional amendments are moving that could allow new maps in 2028.No

    Sources: NCSL mid-decade tracker (Sept. 11, 2026), AP (Sept. 28, 2026), Sabato's Crystal Ball (Sept. 15, 2026), CRS LSB11431, and court records. The "Enacted (2026)" layer on the map is the Census Bureau's official block equivalency file for the 120th Congress, which includes every redraw above that is in use this November.

    The lesson of 2025–26 is that any map whose lines are chosen by a person can be redrawn whenever someone with power wants a different result. A formula fixed in law before the data arrive removes that discretion: there is nothing left to redraw, because the same inputs always produce the same map.
    Principles

    Nine principles, and what each one lets you prove

    "Fair" has no single definition, and there is a theorem to prove it. Alexeev and Mixon (2018) showed that no districting rule can always guarantee equal population, a minimum compactness and a bounded efficiency gap at the same time. And any rule that chooses among maps by a fairness score can be steered, because there are many reasonable scores and they disagree (see Can it be tuned?). So these principles promise a fair procedure: the simplest rules that produce one answer, with no step where a person, or a party's data, decides.

    Method

    The formula, step by step

    Each state's plan is defined by k centers c₁…cₖ (one per seat) and k weights w₁…wₖ. A place x belongs to the district that minimizes

    district(x) = argminⱼ ‖x − cⱼ‖² − wⱼ

    Each district is therefore a convex polygon (a "power cell"), and each center is the population center of its district. The weights grow or shrink the districts until every one holds the same number of people. This is the population-weighted "moment of inertia" objective first used for nonpartisan districting by Weaver and Hess (1963–65), in the balanced power-diagram form of Cohen-Addad, Klein and Young (2018). In plain terms, it puts people as close as possible to the center of their own district.

    1. Inputs. The 2020 Census population of every census block (about 8 million), the Census Bureau's official assignment of each block to its county, municipality and voting precinct, and the boundary files. Nothing else: no votes, no race, no incumbents' homes. The fast county-level search uses the 239,209 block groups; the final plan is built from blocks.
    2. Seeds. Each candidate starts from a seed angle. Split the state's population with a straight line at that angle in the seat ratio ⌊k/2⌋ : ⌈k/2⌉, then recurse on each half with the perpendicular line; the population centers of the pieces are the starting centers. The angles form an even grid over 0–180°, starting with 24 (every 7.5°). No randomness is involved.
    3. Balanced centroidal iteration. Alternate between (a) solving for the weights that equalize population, which is a transportation problem whose dual variables are the weights, and (b) moving each center to its district's population center. Stop when the centers move less than 50 m.
    4. County rule. Give each county, whole, to the district holding most of its people, unless the county is bigger than a district. While any district misses equal population by more than 0.3%, release one county back to the straight-line rule: the most evenly split county touching the worst district, or, if none touches it, the whole county lying nearest that district's border. If keeping a county whole would cut another district in two, release the whole counties around the break. Finally, in county-code order, try restoring each released county that is still split, and keep it whole if the plan stays balanced and contiguous.
    5. Municipalities, then precincts, then blocks. Inside the counties that had to be split, the same keep-whole rule runs one level down. Every city, town or township (the incorporated place, or in the twelve states where towns are the local government, the town) starts whole, as one point at its population center. While any district is more than 0.3% off, the municipality nearest the worst district is opened into whole precincts. The last imbalance is settled along a spanning tree of district borders (the longest shared borders first). Across each border, whole precincts move first, preferring ones that split no municipality, then blocks are peeled off a single precinct from the shared edge. A final pass moves single boundary blocks, or two-step chains of them, until the largest and smallest districts differ by one person, choosing moves that create no new split whenever possible. Every line therefore follows a county, municipal, precinct or census-block boundary, which means a road, river, rail line or legal border on the ground. California has no Census precincts, so block groups play that role there.
    6. Contiguity. Water inside a state's boundary counts as connecting, as with the Chesapeake or the Straits of Mackinac. Any piece cut off by the state's shape goes to the neighboring district it shares the most border with, and the weights are rebalanced. Every published district is checked on the true union of its census blocks: one piece on each landmass, with corner-only touches counting as broken.
    7. One objective picks one plan. A candidate is valid if it is contiguous and every district is within 0.3% of equal population at block-group resolution. Among valid candidates the plan is the one that splits the fewest counties, and among those, the one with the smallest moment of inertia (total squared distance from people to their district's center). Ties go to the smaller seed angle. That is the whole selection rule: no tolerances, no weights, and no election, race or incumbent data at any step.
    8. Search until nothing better turns up. The angle grid doubles (24, 48, 96, …) until a doubling finds no plan with a better objective. Most states stop at 48 angles; the longest search, Wisconsin's, ended at 1,536, and the code's safety limit of 3,072 is never reached. More search can only improve the objective, so it cannot be used to steer the result. The definition is the best plan under the objective, not the best of our tries: anyone who finds a valid plan with fewer county splits, or the same splits and a smaller moment of inertia, has found the plan the rule calls for. Each certificate records the search and the objective so challengers can compare.
    9. Publish the plan the way states do. Each state's download includes a census-block assignment file, the same format legislatures publish and election offices load, plus a certificate: the centers and weights, the whole-county list, and the ordered log of every municipality and precinct the rule opened. At the county stage the weights are optimal dual variables, so they certify that, at those centers, no population-preserving reshuffle of the freely assigned areas could reduce total squared distance (Σ people × w is fixed when populations are fixed, so the power rule wins term by term).

    Keeping it fair over time, by formula

    The plan is tied to the census, not to whoever holds power. These steps were added after checking the rule against every idea of fairness we could find (the full scorecard); each one closes a gap without adding a setting anyone could tune.

    1. Who counts. Every resident counts, as the Constitution counts them for apportionment. People in prison count at their last home address, not in the prison's town, from a national Census Bureau tabulation the act would require; ten states already do this for their own congressional maps. (This demonstration uses raw 2020 counts everywhere, because that national file does not exist yet.)
    2. Fixed national definitions. The boundaries the rule follows are defined once for every state: counties; municipalities (incorporated places, plus towns in the twelve states where towns are the local government); precincts (the Census Bureau's voting districts for that census); census blocks. Districts connect along shared block edges, and water inside a state connects. Nothing about the inputs is left for a state to decide.
    3. Public check of the data, then the rule runs. The census counts and boundary files are published first, and anyone may file a correction to a boundary for a fixed period. Corrections change data, never lines, so they cannot be aimed at an outcome.
    4. Decennial rerun. After each census the same code runs on the new data, and nobody chooses anything. Apportionment changes are absorbed automatically: seats come from the Huntington–Hill formula (2 U.S.C. §2a), and the search starts again from scratch.
    5. A challenge window, then a freeze. For a fixed period after the data are released, anyone may submit a valid plan with a better objective; the best one wins. After that the map is fixed until the next census: no mid-decade redraws, for any reason other than a court order.
    6. Voting Rights Act remedies, by formula. Section 2 still applies. If a court finds a violation, the districts its judgment requires are fixed in place and the same rule redraws the rest of the state around them. No one else gets to adjust anything.
    7. A published audit that never moves a line. After every general election, each plan's partisan bias, efficiency gap, competitiveness, responsiveness and minority representation are recomputed and published, along with where the plan falls among the other valid plans. They inform the public; they never feed back into the rule.

    Why no partisan correction? An earlier version of this project picked, among compact plans, the one with the least partisan bias. That step looked symmetric, but the choice of fairness measure, election years and tolerances moved the national result by about six seats. A rule with a dial can be turned. The simplest rule has no dial: the lean that remains comes from where people live (Chen & Rodden 2013), not from anyone's choice.

    Is it usable?

    Every objection, and the test that answers it

    A districting plan can fail in court, or fail in practice at the county election office. We collected the arguments that have actually been used against plans, in federal and state law, election administration and the critiques of computer-drawn maps. Each one became an automated test that runs on every state, for the formula's plan and for the enacted 2026 map alike. Each state's results are in its map panel and in the table's Checks column.

    RequirementWhere it comes fromHow the formula meets itAutomated test
    Equal populationArt. I §2; Wesberry (1964); Karcher (1983) rejected a 0.7% gap; Tennant (2012) upheld 0.79% justified by whole counties. 19 of 44 enacted maps are within one person.Built from 8 million census blocks, then exact boundary transfers.Range ≤ 1 person passes. A larger gap passes as "justified" only if it comes from the published keep-whole rule and stays far below 0.79%.
    Whole census blocks2 U.S.C. §2c; states publish plans as block equivalency files.The unit is the 2020 block; no block is ever divided.Every block assigned exactly once; a block file is published for each state.
    Contiguity33 states. Corner-only contact fails in Iowa, Florida and Minnesota. Water inside a state is generally allowed (Florida, Michigan, Washington's ferry rule). Clarke v. WEC (Wis. 2023) struck maps with detached pieces.Districts are unions of whole blocks; water blocks inside the state connect shores.Each district must be one piece per landmass on the true block union. Corner-only touches count as breaks.
    No enclavesOhio Art. XIX (single boundary); best practice elsewhere.Power-rule districts are convex before county lines, so enclaves are rare.Flags any district surrounded by a single other district.
    Counties and municipalities30 states protect subdivisions. Pennsylvania (2018): don't divide "any county, city, incorporated town, borough, township, or ward" unless necessary. Ohio caps county splits at 18 split once and 5 split more than once.Counties whole first, then cities and towns (or townships in the 12 states where they govern), each split only to reach equal population.Counts split counties and municipalities against the enacted map.
    PrecinctsColorado bars precincts spanning districts, New Mexico's committee may not split them, Washington keeps them whole where practicable. North Carolina's 2011 maps split 563 precincts into 1,400+ ballot pieces; Oklahoma estimates $230k per election year for split-precinct staffing.Precincts kept whole after municipalities. Equalizing population splits at most about one precinct per district border.Counts split precincts against the enacted map, and flags any split piece with 1–99 residents, too few for a secret ballot.
    Compactness29 states, with no legal bright line. Districts attacked in court have scored Polsby–Popper 0.08–0.11 and Reock 0.20–0.26.Compactness is the objective the formula optimizes.Flags a district below PP 0.10 or Reock 0.20 only if it is also less compact than the enacted map's least compact district.
    Lines on the groundCensus blocks are bounded by streets, roads, streams and rail lines; Arizona asks for "visible geographic features".Every boundary is a county, municipal, precinct or block edge, so no line runs through a backyard.Holds by construction (block-level plan).
    No partisan or incumbent dataIowa, Montana, Nebraska, New Mexico and California bar partisan data. Arizona allows it only to test maps. Florida forbids intent to favor a party. Michigan, Colorado and Utah require partisan-fairness analysis. California, Iowa, Arizona and Idaho bar considering incumbents' homes.Drawing and choosing read only population and boundaries, in every state. Incumbents' addresses are never used.Input firewall: the code that draws and selects reads no political or racial fields. Election data are loaded only afterwards, by the audit.
    Race and the VRAAfter Louisiana v. Callais (2026), §2 needs a "strong inference" of intentional discrimination. Racial-gerrymandering claims (Shaw, Alexander) require race to predominate.Race is never an input, so it cannot predominate. The rule is fixed in law before any data arrive, which leaves no room for intent at adoption.Majority-minority districts reported for both plans. A court-ordered district can be locked and the rest re-run.
    ReproducibilityOpaque algorithms (e.g., the original splitline code) have been criticized. North Carolina's 2019 lottery among simulated maps was contested.Deterministic: fixed seed angles, no randomness, open code.Same inputs give the same block file; the certificate and the refinement log are published.

    What the checks can't settle

    • Communities of interest without legal boundaries (neighborhoods, reservations that cross counties, media markets). Twenty states ask for them. A state adopting the formula would add any such community as one more mechanical keep-whole tier.
    • Political geography. Neutral compact maps lean Republican where Democrats cluster in cities (Chen & Rodden 2013). The rule does not offset this, because any offset needs a fairness dial, and a dial can be tuned. The full candidate set is published, so the remaining lean can be seen to come from geography rather than from a choice.
    • Where a court-drawn map is simply better on one criterion. Connecticut's 2022 special-master map splits fewer towns than the formula. When the formula is worse than the enacted map on a criterion, the checklist marks it Review rather than hiding it.
    Results

    How the formula compares

    All 50 states

    Click a column to sort, or a row to open the state on the map. "D seats" count districts whose 2016–20 statewide composite is above 50% Democratic, which estimates lean, not who actually won. County splits are counted at block-group resolution for both plans.

    From map to law

    How Neutral Lines could actually be adopted

    A better map changes nothing unless someone with the power to adopt it does. The rule is one national standard, so its natural home is federal law. Article I §4 lets Congress "make or alter" state regulations for House elections, and Congress has used that power to require single-member districts (2 U.S.C. §2c) and, from 1842 to 1929, contiguous, compact and equal districts. A Neutral Lines Act would replace each state's separate congressional criteria with the same rule everywhere; state legislative maps are untouched. Until Congress acts, states can adopt the same rule themselves through initiatives, commissions and courts, as set out below.

    What to call it

    Recommended name: Neutral Lines. The proposal would be the Neutral Lines Standard (the rule), the Neutral Lines Act (a state or federal statute adopting it) and the Neutral Lines Compact (an interstate agreement, below).

    • "Neutral," not "fair." Each party already claims "fair" for its own preferred outcome, so the word signals a side. "Neutral" describes the process, and the process is the part that can be proved.
    • "Lines," not "maps." People picture their own street and town line. "Map" invites a debate about seat counts.
    • Rednamyrreg stays the name of the research project. It's memorable for a website but hard to say on a ballot.

    How to present it

    1. Lead with process, never seat counts. Open with "the same rule for every state, written before anyone sees the data, that nobody can tweak." Seat projections invite immediate partisan sorting; save them for the appendix.
    2. Make it local. "Your county stays whole. Your town stays whole. Your precinct stays whole." Show each voter their own district and their own county line before any statewide map.
    3. Answer "unilateral disarmament" up front. The strongest objection in 2025–26 is "why should we stop while they keep gerrymandering?" A federal act answers it outright: every state changes at once. Before then, the compact below takes effect only when states with offsetting partisan effects join together, so neither side disarms alone.
    4. Let others verify it. Publish the code, data and block files, and invite anyone to rerun them. Recruit validators from both parties: former election officials, county clerks (who gain from fewer split precincts), retired judges and academic replicators. Third-party verification persuades voters more than the authors' own claims.
    5. Freeze the rule before the 2030 census. A public-comment period through 2028, then version 1.0 locked into law before the 2031 data arrive. The promise "rule before data" is the whole credibility of the proposal.
    6. Be candid about the trade-offs. Publish where the formula does worse than an enacted map (the checklist's Review items) and why. Opponents will find them anyway; disclosing them first protects credibility.

    Public opinion is a tailwind, not a guarantee. In August 2025, California voters preferred keeping their independent commission by nearly two to one; three months later they approved Prop 50, setting it aside to counter Texas. Voters favor neutral processes in principle, and they will also back a partisan counter-gerrymander when it is framed as self-defense.

    Before a federal law: outlook by state

    Transparent heuristic, not a forecast. Path: citizen-initiated constitutional amendment available (3), initiated statute only (2), an existing redistricting commission (2, counted only when no initiative exists), legislature only (0). Seat shock: how many seats the formula would move relative to the 2026 map, on the 2016–20 composite (0 seats: 3, 1: 2, 2: 1, 3 or more: 0). Checklist: +1 if the formula has no Review or Fail item. Outlook: High ≥ 6, Medium 4–5, Low ≤ 3. Single-district states are omitted.

    The Neutral Lines Compact

    An interstate compact in which each member adopts the Neutral Lines Standard, effective only once the members' combined seat shift relative to their current maps nets out within one seat. A Republican-leaning state's change is matched by a Democratic-leaning state's, so the partisan balance of the House is unchanged by joining, and the gerrymanders are retired in matched pairs. Compacts that affect federal elections likely need congressional consent (Art. I §10). That consent is itself a vehicle for the federal path below.

    Roadmap

    WhenPathWhat happens
    Now – 2027Open reviewPublish everything. Invite independent replication, election-administrator review and public comment on the rule (tiers, tolerances, which communities to protect). Record every change in a public log.
    2027 – 2028CourtsOffer the Neutral Lines plan as a neutral benchmark or remedial map in pending redistricting litigation (Florida, Tennessee, Louisiana, Texas). Courts already rely on special masters and computer-drawn alternatives.
    2028Citizen initiativesConstitutional initiatives in the High-outlook initiative states, written to adopt the frozen rule for the 2031 cycle. Arizona State Legislature v. AIRC (2015) confirms voters may take congressional districting away from legislatures.
    2028 – 2030CommissionsAsk existing commissions (Arizona, Colorado, Michigan, Washington and others, plus California's when it resumes after 2030) to adopt the formula's plan as their required starting map or benchmark, so any departure from it must be justified on the record.
    2029 – 2030CongressThe Neutral Lines Act under Art. I §4: one rule for every state's congressional districts from the 2030 Census on, with a ban on mid-decade redraws. A narrower first step is a default act (any state that redraws mid-decade, or misses its deadline, gets the Neutral Lines plan), which can ride on the anti-mid-decade bills already filed and can consent to the compact.
    2031First useThe frozen rule runs on 2030 Census data, the challenge window opens, and the audit starts recording.

    Sources: initiative availability, Ballotpedia (18 states allow initiated constitutional amendments, with Mississippi's process de facto suspended; 21 allow initiated statutes). Illinois's amendment initiative is limited to the legislative article, and courts blocked a 2016 redistricting initiative there. Polling: POLITICO–Citrin Center–Possibility Lab (Aug. 2025), via Election Law Blog.

    Limits & data

    What this is, and what it isn't

    Sources & code

    Sources

    Citations

    Numbers in brackets throughout the page link here. Historical district stories in the map's History mode carry their own source links.