NewsPronto

 
Men's Weekly

.

USA Conversation

The Conversation USA

The Conversation USA

A brief illustrated guide to 'scissors congruence' − an ancient geometric idea that’s still fueling cutting-edge mathematical research

  • Written by Maxine Calle, Ph.D. Candidate in Mathematics, University of Pennsylvania
imageWhile scissors congruence accurately captures the modern algebraic notion of 2D area, things get more complicated in higher dimensions.Maxine Calle, CC BY-ND

In math class, you probably learned how to compute the area of lots of different shapes by memorizing algebraic formulas. Remember “base x height” for rectangles and...

Read more: A brief illustrated guide to 'scissors congruence' − an ancient geometric idea that’s still...

More Articles ...

  1. Women get far more migraines than men – a neurologist explains why, and what brings relief
  2. Despite giving students chances to cheat, unsupervised online exams gauge student learning comparably to in-person exams
  3. Through space and rhyme: How hip-hop uses Afrofuturism to take listeners on journeys of empowerment
  4. Donald Trump is right − he is getting special treatment, far better than most other criminal defendants
  5. Kamala Harris has tied the record for the most tie-breaking votes in Senate history – a brief overview of what vice presidents do
  6. Yellow jerseys of the fireline: A day fighting wildfires can require as much endurance as riding the Tour de France
  7. Medical exploitation of Black people in America goes far beyond the cells stolen from Henrietta Lacks that produced modern day miracles
  8. Zebrafish are a scientist's favorite for early-stage research – especially to study human blood disorders
  9. Re-imagining democracy for the 21st century, possibly without the trappings of the 18th century
  10. Contacting your legislator? Cite your sources – if you want them to listen to you
  11. US autoworkers may wage a historic strike against Detroit’s 3 biggest automakers – with wages at EV battery plants a key roadblock to agreement
  12. What's the difference between a startup and any other business?
  13. Trump may try to delay his first federal trial – it's a common legal strategy to fend off a criminal conviction
  14. Myanmar crisis highlights limits of Indonesia's 'quiet diplomacy' as it sets sights on becoming a 'great regional power'
  15. Ending affirmative action does nothing to end discrimination against Asian Americans
  16. The most serious Trump indictment yet – a criminal law scholar explains the charges of using ‘dishonesty, fraud and deceit’ to cling to power
  17. Trump indicted in Jan. 6 case – but his 3 upcoming trials may not keep him off the campaign trail
  18. A chatbot willing to take on questions of all kinds – from the serious to the comical – is the latest representation of Jesus for the AI age
  19. Trump facing multiple criminal charges, investigations: 44 articles explain what you need to know
  20. Sexual violence is a pervasive threat for female farm workers – here's how the US could reduce their risk
  21. Is Congress on a witch hunt? 5 ways to judge whether oversight hearings are legitimate or politicized
  22. Sinead O'Connor was once seen as a sacrilegious rebel, but her music and life were deeply infused with spiritual seeking
  23. Millions across the world live with low back pain, but addressing major risk factors like smoking, obesity and workplace ergonomics could curb the trend, research shows
  24. Why Dunkin' and Lego rebrands succeeded – but X missed the mark
  25. Giuliani claims the First Amendment lets him lie – 3 essential reads
  26. To get rid of hazing, clarify what people really think is acceptable behavior and redefine what it means to be loyal
  27. Just about anybody in America can officiate a wedding, thanks to the internet – and one determined preacher
  28. Alabama is not the first state to defy a Supreme Court ruling: 3 essential reads on why that matters
  29. Federal government is challenging Texas's buoys in the Rio Grande – here’s why these kinds of border blockades wind up complicating immigration enforcement
  30. Your genetic code has lots of 'words' for the same thing – information theory may help explain the redundancies
  31. I've taught in prisons for 15 years – here's what schools need to know as government funding expands
  32. Hypocrisy penalty: Investors especially hate companies that say they're good then behave badly – unless the money is good
  33. Progressives' embrace of Disney in battle with DeSantis over LGBTQ rights comes with risks
  34. Deaf rappers who lay down rhymes in sign languages are changing what it means for music to be heard
  35. 4 factors driving 2023's extreme heat and climate disasters
  36. Hunter Biden's plea agreement renegotiation is rare – a law professor explains what usually happens
  37. Sen. Tuberville's blockade of US military promotions takes a historic tradition to a radical new level – and could go beyond Congress' August break
  38. As witchcraft becomes a multibillion-dollar business, practitioners' connection to the natural world is changing
  39. Supreme Court Chief Justice John Roberts uses conflicting views of race to resolve America's history of racial discrimination
  40. Where the government draws the line for Medicaid coverage leaves out many older Americans who may need help paying for medical and long-term care bills – new research
  41. Do smartphones belong in classrooms? Four scholars weigh in
  42. In search of the world's largest freshwater fish – the wonderfully weird giants lurking in Earth's rivers
  43. How well-managed dams and smart forecasting can limit flooding as extreme storms become more common in a warming world
  44. Women can now undertake Islamic pilgrimages without a male guardian in Saudi Arabia, but that doesn't mean they're traveling alone -- communities are an important part of the religious experience
  45. Horse health research will help humans stay healthy, too, with insights on reining in diabetes and obesity
  46. Laughter can communicate a lot more than good humor – people use it to smooth social interactions
  47. As contentious judicial 'reform' becomes law in Israel, Netanyahu cements his political legacy
  48. Decades of public messages about recycling in the US have crowded out more sustainable ways to manage waste
  49. Will I ever need math? A mathematician explains how math is everywhere – from soap bubbles to Pixar movies
  50. Massachusetts is updating its sex education guidelines for the first time in 24 years