Mathematics

Calcea Johnson (right), currently studying environmental engineering at Louisiana State University, published the new study with her high school classmate, Ne'Kiya Jackson (left), now a student in pharmacology at Xavier University of Louisiana.

Two High Schoolers Found an 'Impossible' Proof for a 2,000-Year-Old Math Rule—Then, They Discovered Nine More

Ne’Kiya Jackson and Calcea Johnson of Louisiana published a new study proving the Pythagorean theorem using trigonometry, a feat mathematicians long thought could not be done

Prime numbers are only divisible by themselves and one.

Amateur Mathematician Discovers the Largest Known Prime Number, With More Than 41 Million Digits

Called M136279841, the value belongs to a rare class of prime numbers called Mersenne primes and was found using a supercomputer system spread across 17 countries

A cross section of a chambered nautilus shell shows the newly defined shape, the "soft cell," repeating outward in a spiral.

Mathematicians Discover a New Class of Shape: the 'Soft Cell'

If the structures look familiar, it's probably because nature has been using them for a long time in places like nautilus shells, zebra stripes and onions

The Starry Night, Vincent van Gogh, 1889

'The Starry Night' Accurately Depicts a Scientific Theory That Wasn't Described Until Years After van Gogh's Death

Researchers say that the iconic painting's swirling sky lines up with Kolmogorov's theory of turbulence, suggesting that the artist was a careful observer of the world around him

Another rare example of Alan Turing's handwritten notes, which went to auction in 2015

British Government Places Export Ban on Alan Turing's World War II-Era Notebooks

The mathematician took careful notes while working on a portable voice encryption system in the mid-1940s

Scientists trained three carrion crows to produce one, two, three or four vocalizations based on various visual or auditory cues.

Crows Can 'Count' Up to Four Like Human Toddlers, Study Suggests

Three carrion crows engaged in a simplified version of counting when prompted, and the birds showed signs of planning out their responses

In the late 1960s, Bob Paine described the Pisaster sea star as a “keystone species” in Pacific Northwest tide pools. The concept has since taken on a life of its own.

Has the Term 'Keystone Species' Lost Its Meaning?

More than 50 years after Bob Paine’s experiment with starfish, hundreds of species have been pronounced “keystones” in their ecosystems

 Nikola Tesla in his laboratory in Colorado Springs around 1899

Nikola Tesla and the Tower That Became His 'Million Dollar Folly'

The eccentric inventor's dream of a wireless-transmission tower would prove to be his undoing

Avi Wigderson is the first recipient of both a Turing Award and an Abel Prize, math's top honor.

Mathematician Who Shed Light on Randomness in Algorithms Wins Top Prize in Computing

Avi Wigderson earned the 2023 Turing Award for wide-ranging work in theoretical computer science

Why aren't there freshwater seals or dolphins in the Great Lakes?

Why Aren't Dolphins in the Great Lakes? And More Questions From Our Readers

You’ve got questions. We’ve got experts

Michel Talagrand is the 27th recipient of the Abel Prize, which was first awarded in 2003.

Mathematician Who Made Sense of the Universe's Randomness Wins Math's Top Prize

Michel Talagrand took home the 2024 Abel Prize for his work on stochastic systems, randomness and a proof of a physics reaction that many experts thought was unsolvable

Art historian Federica Gigante examines the device at the Fondazione Museo Miniscalchi-Erizzo in Verona, Italy.

Long Overlooked, This 11th-Century Astronomical Device Documents Scientific Exchange Among Muslims, Jews and Christians

The astrolabe features Hebrew and Latin inscriptions added by different owners over time

Math historian Glen Van Brummelen came across decimal points in Giovanni Bianchini's manuscript, Tabulae primi mobilis B.

The Decimal Point Is 150 Years Older Than Previously Thought, Medieval Manuscript Reveals

A Venetian merchant used the mathematical symbol while calculating the positions of planets between 1441 and 1450

For the inner four planets in this solar system, each planet orbits the sun three times for every two orbits of the planet immediately to its outside. For the fourth, fifth and sixth planets, they orbit four times for every three orbits of its outer neighbor.

Astronomers Discover Rare Solar System Where Planets Orbit in Mathematical Harmony

The "resonant" planets could provide insight about how such systems form and evolve—and why our own solar system is not synced up

The products range from measuring games to coding activities—and even include a robot that introduces children to artificial intelligence.

Ten Engineer-Selected STEM Toys to Give as Gifts in 2023

From coding to building to circuitry, these educational activities support basic skills to serve children in science, engineering and beyond

Two types of white blood cells, a neutrophil (top) and a lymphocyte (bottom), in human blood.

Human Cells Display a Mathematical Pattern That Repeats in Nature and Language

New research suggests adult humans have between 28 trillion and 36 trillion cells, which follow a commonly seen distribution of size and mass

The letter “x” often symbolizes something unknown, with an air of mystery that can be appealing.

A Brief History of the Letter 'X,' From Algebra to X-Mas to Elon Musk

A math historian explores how "x" came to stand in for an unknown quantity

Lee Wan-kyu, South Korea's minister of government legislation, holds a whiteboard showing his Korean age alongside his international age.

South Koreans Just Got Younger, Thanks to a New Law

The country previously had three distinct systems for determining age, often leading to confusion

Infinitely many copies of a 13-sided shape can be arranged with no overlaps or gaps in a pattern that never repeats.

At Long Last, Mathematicians Have Found a Shape With a Pattern That Never Repeats

Experts have searched for decades for a polygon that only makes non-repeating patterns. But no one knew it was possible until now

Have any modern animals adapted to human activity through natural selection?   

Have Any Animals Evolved to Adapt to Human Activity?

You’ve got questions. We’ve got experts

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