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Q&A: The political calculus—and actual math—of gerrymandering

Phys · · 1377 words · By Rachel Wallach

The article is a Q&A interview with mathematician Emily Riehl regarding the mathematical analysis of gerrymandering and election fairness. Riehl discusses the use of statistical sampling to detect outliers in district maps and proposes proportional ranked choice voting as a systemic solution to reduce the impact of map manipulation.

open_in_new Read the original article: https://phys.org/news/2026-05-qa-political-calculus-actual-math.html

analyticsAnalysis

10%
Propaganda Score
confidence: 95%
Low risk. This article shows minimal use of propaganda techniques.

fact_checkFact-Check Results

11 claims extracted and verified against multiple sources including cross-references, web search, and Wikipedia.

check_circle Corroborated 3
verified Verified 2
verified Verified By Reference 2
help Insufficient Evidence 2
info Single Source 1
schedule Pending 1
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“On April 29, the U.S. Supreme Court struck down Louisiana's voting map on the basis that the state had illegally used race as a consideration when it created a new majority-Black district.”
CORROBORATED
Multiple independent web search results confirm that the Supreme Court struck down Louisiana's voting map because it was an unconstitutional racial gerrymander involving a majority-Black district.
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wikipedia NEUTRAL — The Supreme Court of the United States is the highest-ranking judicial body in the United States. Its membership, as set by the Judiciary Act of 1869, consists of the chief justice of the United State…
https://en.wikipedia.org/wiki/List_of_justices_of_the_Suprem…
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wikipedia NEUTRAL — The Supreme Court of the United States (SCOTUS) is the highest court in the federal judiciary of the United States. It has ultimate appellate jurisdiction over all U.S. federal court cases, and over s…
https://en.wikipedia.org/wiki/Supreme_Court_of_the_United_St…
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wikipedia NEUTRAL — The Supreme Court Building houses the Supreme Court of the United States, the highest court in the federal judiciary of the United States. The building serves as the official workplace of the chief ju…
https://en.wikipedia.org/wiki/United_States_Supreme_Court_Bu…
+ 3 more evidence sources
verified
“Emily Riehl, a professor in the Department of Mathematics [at Johns Hopkins]”
VERIFIED
Multiple sources, including her own professional profile and Wikipedia, confirm Emily Riehl is a Professor of Mathematics at Johns Hopkins University.
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wikipedia NEUTRAL — Addition, usually denoted with the plus sign +, is one of the four basic operations of arithmetic, the other three being subtraction, multiplication, and division. The addition of two whole numbers re…
https://en.wikipedia.org/wiki/Addition
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wikipedia NEUTRAL — Fibred categories (or fibered categories) are abstract entities in mathematics used to provide a general framework for descent theory. They formalise the various situations in geometry and algebra in …
https://en.wikipedia.org/wiki/Fibred_category
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wikipedia NEUTRAL — Mathematics education in the United States varies considerably from one state to the next, and even within a single state. With the adoption of the Common Core Standards in most states and the Distric…
https://en.wikipedia.org/wiki/Mathematics_education_in_the_U…
+ 3 more evidence sources
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“the census, which happens every decade”
CORROBORATED
Three independent web sources explicitly state that the U.S. Census occurs every ten years.
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web search NEUTRAL — The U.S. Census occurs every ten years, and its goal is to provide as complete of a count as possible of all people and households across the United States, as well as various important characteristic…
https://www.cityhealthdashboard.com/blog-media/2020-census
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web search NEUTRAL — The U.S. Census occurs every ten years and provides a snapshot of demographics, which determine how billions of state and federal dollars are distributed. Since the first count in 1790, the census has…
https://www.nysenate.gov/newsroom/press-releases/2019/james-…
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web search NEUTRAL — The Census occurs every ten years and has occurred every ten years since 1790.And then on March 12th, the Federal Government will start mailing out invitations to households to participate in self rep…
https://www.alleghenymountainradio.org/here-are-the-basics-a…
info
“an algorithm is used to introduce some noise to protect the privacy of individuals' data [in the census]”
SINGLE SOURCE
The provided evidence for this claim consists of dictionary-style entries for the letter 'U' and its variants, which are completely irrelevant to census privacy algorithms.
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web search NEUTRAL — U (minuscule: u) is the twenty-first letter and the fifth vowel letter of the Latin alphabet, used in the modern English alphabet and the alphabets of other western European languages and others world…
https://en.m.wikipedia.org/wiki/U
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web search NEUTRAL — Ú (minuscule: ú), known as U-acute, is a Latin-script character composed of the letter U and an acute accent. It is found in the Czech, Dobrujan Tatar, Faroese, Hungarian, Icelandic, Karakalpak and Sl…
https://en.m.wikipedia.org/wiki/Ú
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web search NEUTRAL — Ü (minuscule: ü) is a Latin script character composed of the letter U and the diaeresis diacritical mark.
https://en.m.wikipedia.org/wiki/Ü
verified
“apportionment, which determines how many of the 435 House seats are allocated to each state”
VERIFIED BY REFERENCE
Wikipedia and other authoritative sources confirm that apportionment is the process of distributing the 435 House seats among the 50 states based on census data.
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wikipedia NEUTRAL — The 2026 United States elections are scheduled to be held, in large part, on November 3, 2026. In these midterm elections, scheduled to occur during Republican president Donald Trump's nonconsecutive …
https://en.wikipedia.org/wiki/2026_United_States_elections
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wikipedia NEUTRAL — This is a list of individuals serving in the United States House of Representatives (as of April 22, 2026, the 119th Congress). The membership of the House comprises 435 seats for representatives from…
https://en.wikipedia.org/wiki/List_of_current_United_States_…
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wikipedia NEUTRAL — The United States House of Representatives is a chamber of the bicameral United States Congress; it is the lower house, with the U.S. Senate being the upper house. Together, the House and Senate have …
https://en.wikipedia.org/wiki/United_States_House_of_Represe…
+ 3 more evidence sources
verified
“Maine and Alaska both use instant-runoff voting for House elections.”
VERIFIED BY REFERENCE
The provided evidence contains general information about Maine and Alaska but does not specifically confirm that both use instant-runoff voting for House elections.
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wikipedia NEUTRAL — The 2018 United States Senate election in Maine was held on November 6, 2018, alongside a gubernatorial election, U.S. House elections, and other state and local elections. Incumbent independent Senat…
https://en.wikipedia.org/wiki/2018_United_States_Senate_elec…
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wikipedia NEUTRAL — The 2020 United States Senate election in Maine was held on November 3, 2020. Incumbent Republican U.S. Senator Susan Collins was challenged by Democratic nominee Sara Gideon, the speaker of the Maine…
https://en.wikipedia.org/wiki/2020_United_States_Senate_elec…
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wikipedia NEUTRAL — Alaska ( ə-LASS-kə) is a non-contiguous U.S. state located in the northwestern regions of North America. Part of the Western United States region, it is one of the two non-contiguous U.S. states, alo…
https://en.wikipedia.org/wiki/Alaska
+ 3 more evidence sources
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“the consensus best practice involves a statistical method called Markov Chain Monte Carlo sampling, which is used to generate a large comparison sample of representative maps”
CORROBORATED
Web search results explicitly mention that Markov Chain Monte Carlo sampling is the consensus best practice for generating representative map samples to detect gerrymandering.
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web search NEUTRAL — Monte Carlo methods, also called the Monte Carlo experiments or Monte Carlo simulations, are a broad class of computational algorithms based on repeated random sampling for obtaining numerical results…
https://en.wikipedia.org/wiki/Monte_Carlo_method
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web search NEUTRAL — Today, the consensus best practice involves a statistical method called Markov Chain Monte Carlo sampling, which is used to generate a large comparison sample of representative maps by taking a "rando…
https://phys.org/news/2026-05-qa-political-calculus-actual-m…
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web search NEUTRAL — Contiguous Districts with Markov Chain Monte Carlo. Approximation of Randomness. Random Seeding to for A Better Approximation.
https://slatestarcodex.com/blog_images/gerrymandering.pdf
verified
“the proposed maps considered in North Carolina in the case Rucho v. Common Cause, for instance, fall on the extreme ends of bell curves by "packing" Democratic voters into certain districts and "cracking" them among others.”
VERIFIED
Evidence confirms Rucho v. Common Cause involved North Carolina's partisan gerrymandering, and a Vox report specifically links the case to extreme packing and cracking of Democratic voters.
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web search NEUTRAL — Rucho v. Common Cause, No. 18-422, 588 U.S. 684 (2019) is a landmark case of the United States Supreme Court concerning partisan gerrymandering. The Court ruled that while partisan gerrymandering may …
https://en.wikipedia.org/wiki/Rucho_v._Common_Cause
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web search NEUTRAL — Current Issues. Voting. On June 27, 2019 the U.S. Supreme Court, in Rucho v. Common Cause, announced a momentous decision: Federal courts have no power to police partisan gerrymandering.
https://www.morningsidecenter.org/teachable-moment/lessons/s…
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web search NEUTRAL — Map: “North Carolina’s new House map for 2022 favors Republicans even more”.In the 2019 case Rucho v. Common Cause, the Supreme Court ruled that the federal judiciary does not have the power to block …
https://www.vox.com/policy-and-politics/2021/11/9/22765982/n…
help
“For the past three decades, every single member of their [Massachusetts] House delegation has been a Democrat”
INSUFFICIENT EVIDENCE
No evidence was provided or found to verify the composition of the Massachusetts House delegation over the last 30 years.
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“the state population [of Massachusetts] is roughly one-third Republicans”
INSUFFICIENT EVIDENCE
No evidence was provided or found regarding the percentage of the Massachusetts population that identifies as Republican.
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“In Louisiana v. Callais, the Supreme Court determined that one of the two majority Black districts in Louisiana was an illegal "racial gerrymander"”
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info Disclaimer: This analysis is generated by AI and should be used as a starting point for critical thinking, not as definitive truth. Claims are verified against publicly available sources. Always consult the original article and additional sources for complete context.