How a competition honoring a king's birthday uncovered history's first chaotic system

The Millennium Prizes were created to spur solutions to seven unsolved problems

In 2000, the Clay Mathematics Institute brought public attention to the frontiers of mathematics by establishing $1M prizes for some of the most challenging problems mathematicians faced. As of 2025, only one problem has been solved, but the reward was turned down.

Only allowing three recipients causes the Nobel Prize to overlook team discoveries

While science has grown more inclusive and collaborative, the Nobel Prize system still struggles with outdated practices, such as secrecy and a rigid limit on awardees. This restriction sidelines many deserving scientists, especially in complex projects like the human genome or gravitational waves.

The life of Edward Lorenz, who originally used a seagull in his 'butterfly effect' metaphor

By accidentally finding that rounding one variable to its third decimal place and re-running a weather simulation produced a drastically different two-month forecast, the American mathematician established the field of chaos theory. His paper—"Predictability: Does the Flap of a Butterfly's Wings in Brazil Set off a Tornado in Texas?"—introduced the well-known metaphor for the behavior of chaotic systems. (Some readers may experience a paywall.)

Why a Nobel Prize winner was awarded 30 years of free beer

Niels Bohr, the Danish physicist who won the Nobel Prize for Physics in 1922, moved into the Carlsberg Honorary Residence in 1932 and was entitled to free delivery of Carlsberg beer for as long as he lived there. He did so until he died in 1962.

Researchers identify a hidden instability pattern in simple ocean wave models

Stokes waves—a solution to the mathematics of water waves—were once assumed to be stable. Italian mathematicians have proven disturbances cause these waves to collapse and such collapses follow an infinite repeating pattern. To complete the proof, the team offered a $100 donation to solicit online help.

The magazine competition that pitted Houdini against the author of 'Sherlock Holmes'

In 1922, Scientific American magazine launched a contest to prove, or disprove, the existence of ghosts and define the limits of Spiritualism. This article details how this competition furthered the growing ideological split between escapologist...

The Ig Nobel Prizes honor scientific achievements that make people laugh, then think

These prizes show that even seemingly trivial work can gain attention, build momentum, and connect with broader audiences when presented engagingly. Winners include creating a toilet that analyzes your poop and understanding why scientists lick rocks.

View the evolution of atomic models, with four successively overturned between 1900 and 1926

Originally thought to be indivisible spheres unique to each element, the discovery of the electron by J.J. Thomson revealed them to be made of smaller particles. Ernest Rutherford's gold foil experiment uncovered the existence of nuclei, which Niels Bohr suggested were surrounded by electrons in fixed orbits. By applying quantum mechanics, Erwin Schrödinger replaced orbits with probability clouds.

Visualize chaos with the orbit of three or more objects bound by gravity

In this simulation, users can simulate randomized and preset orbital configurations for up to 10 celestial bodies to observe the system's evolution in an interactive 3D space. The same configurations can produce different orbital behavior—a feature of chaos—by making small changes to an object's mass under advanced settings.

Mathematical breakthroughs influenced Shakespeare’s stories

New ideas in math were transforming Europe at the time Shakespeare penned his plays, including newly popular conceptions of zero via philosophers Descartes and Leibniz.

The first algorithmic random number generator was developed in 1946

Although previous methods of randomness involved physical tools with limited outcomes, such as dice, or relied on chaotic variables for number generation, such as electronic noise, John Von Neumann's middle-square method turned the problem into a mathematical computation. It has since been replaced by methods that generate numbers from unique initial values, such as the time on a clock.

It took 70 years for computer scientists to determine how to cut a cake fairly

The cake-cutting problem explores how to divide something fairly, which is not solely about cutting evenly-sized pieces. A protocol that accounted for personal preferences (e.g., a corner piece) between just three people took 16 years to develop.

Explore chaos in this simulation of two double pendulums, where small differences in the release angles produce wildly different outcomes.

The Antikythera mechanism: The oldest-known analog computer

A device now considered the world's oldest computer was pulled from a shipwreck more than 120 years ago. Known as the "Antikythera Mechanism," it is now believed to have allowed precise tracking of astronomical positions, and its sophistication overturned understanding of Ancient Greek capabilities.

French aristocrat Pierre de Coubertin revived the ancient Olympic Games

When Baron Pierre de Coubertin was just 11, Germans began excavations at the site of the original ancient Olympics. It was a formative moment that fueled his dream of reviving the Olympic Games to cultivate educational discipline, national spirit, and international peace. This deep dive explores the lengthy process Coubertin went through and the challenges he overcame to bring the first modern Olympics to Athens in 1894.

The first official World Chess Championship was held in 1886

The inaugural world championship took place across New York, St. Louis and New Orleans in 1886, where Wilhelm Steinitz defeated Johannes Zukertort. Steinitz became the first recognized world champion, establishing the modern era of organized competitive chess.

The science of symmetry | The Royal Society

Nature is full of symmetries, from spiral galaxies to florets of broccoli. So why do complex creatures break the pattern?This short video discusses why symmetry came to dominate life on Earth, and how many complex life forms, such as humans, transitioned from radial to lateral symmetry.

Clever Hans was a 1900s horse that was believed to be able to solve math equations, tell time, and read and comprehend German, until a psychology student discovered how he got his answers.

Meet Clever Hans, the 1900s horse that was believed to be able to solve math equations and read German

When Clever Hans was prompted with math questions, he responded by tapping his hoof to indicate his answers. Even a panel of experts found no indication of trickery in the horse's demonstrations. However, psychology student Oskar Pfungst found that Hans stopped tapping once a subtle cue on his owner's face told him to stop. The cues were so subtle that Wilhelm von Osten didn't even know he was giving them.

An exploration of what makes Olympic curling so difficult and strange

The sport is often maligned for its oddity, but this impassioned video argues it's one of the more impressive (and good-natured) sports in the Olympics. Sometimes labeled "chess on ice," curling at the Olympics uses 44-pound, 60-million-year-old granite stones all extracted from the same Scottish island.

In 1914, the Financial Times asked readers to redraw Europe for cash prizes

Two months in World War I, the newspaper invited readers to sketch postwar borders and submit peace terms for cash prizes. The contest captured public attempts to predict a new world order and foreshadowed modern crowdsourced forecasting. It's a wild look at how uncertain Europe's future was at the time.

Exploring Oskar Schlemmer's 'Triadic Ballet,' a Bauhaus-inspired performance piece

The "symphonic dance of threeness" brought together Bauhaus' varied artistic interests and offered a fable in which collectivism wins. This history and timeline of the work details its origins as well as its near-destruction at the hands of the Nazis, who considered it profane.

Making the Oscar statuette is a thorough and involved process

From casting the molten metal into its iconic shape, to the electroplating process that gives Oscar his signature 24-carat golden glow, to assembling the finished product and engraving the winner's name, there's much more to this knight than meets the eye.

Computer pioneer Alan Turing was also an elite runner

Alan Turing is credited with helping to found modern computer science, in addition to cracking the Nazi code known as Enigma. Beyond these world-historical achievements, the British mathematician also nearly represented his country in the Olympics in the marathon, running just 11 minutes slower than the eventual gold recipient at the 1948 games. Read more on this lesser-known aspect of the man here.

One pop-culture historian fooled the nation with a fake origin story of April Fools' Day

In 1983, Joseph Boskin, a professor at Boston University, was interviewed by the Associated Press to discuss the history of April Fools'. Boskin shared a made-up story about a jester who took over Rome for a day and proclaimed that April 1 would henceforth serve as 24 hours of silliness. AP published the fib about "King Kugel," creating buzz and confusion for news outlets around the country.

Mathematician David Hilbert developed general relativity equations before Einstein

Although working independently of one another, the two exchanged correspondence in the lead up to November 1915, when Hilbert submitted their gravitational field equations five days before Einstein presented their work. An error in Hilbert's formulation and its nonpublication until March 1916 would leave credit for general relativity to Einstein.

Mark Twain invented an unsuccessful board game

“Memory Builder” was based on pinning historical events in their correct chronological order. It was test-marketed in 1891, but never took off. One critic said, “The game looked like a cross between an income tax form and a table of logarithms.”

English mathematician Ada Lovelace wrote the first computer algorithm a century before computers existed and hypothesized that computing devices would one day be able to compose music—foreseeing the generative AI systems of today.

Against his wishes, Albert Einstein's brain was removed before his cremation, and the pathologist responsible stored it for decades in mason jars within a beer cooler.

Learn more about the history of fireworks, which dates back to an accidental invention during an alchemist's quest for information about immortality.

Explore fun facts from the USPS, including unique post office buildings, a stamp that traveled past Pluto, and more.

While the sun's gravity keeps the planets in orbit, their gravity also pulls on the sun, causing it and everything else in the solar system to orbit around a mutual balance point called the barycenter—the true center of the solar system.

As of 2025, the most cited papers in science include a review of graphene, methods to improve image recognition, streamlining electron density calculations, and optimizing protein studies.

The Mona Lisa's celebrity status and repeated restorations have obscured what made the painting so revolutionary for its time

Salvador Dalí believed he was his own dead brother, who had died nine months before he was born

Double world record holder Hunter Ewen helped conquer his fear of balloons, called globophobia, by training to win Guinness World Record titles for balloon inflation.

See 33 images that became central to huge scandals, including a young Charles and Camilla, Michael Jackson's baby on a hotel balcony, and Hugh Grant's mugshot.

The first horror movie is believed to be George Méliès' 1986 short 'The Haunted Castle,' which pioneered the use of special effects

Search a massive database of over 4 decades of clues from the TV quiz show 'Jeopardy!'

Exploring the Larry Bird punch that almost changed March Madness

The first image of a black hole was captured by creating an Earth-sized virtual observatory from a network of eight radio telescopes.

American dance legend Martha Graham, sometimes called 'the Picasso of dance,' refused to perform at the 1936 Olympics in Berlin and conceived the piece 'Chronicle' in response to the experience.

Watch a 1934 short film starring jazz legend Cab Calloway, a major figure in the Harlem Renaissance's music scene

See a ranking of the best (and worst) Federal Reserve Chairs since 1914 out of the 16 men and women who have held the office since.

SpongeBob exemplifies Aristotle's philosophy for living well because he understands that happiness doesn't come from external factors like money, recognition, or power.

Trace how the Bill of Rights, inspired by centuries of political theory, took shape between 1774 and 1789.

The US first hosted the World Cup in 1994, a tournament that lives in soccer infamy for its poor planning and the murder of Colombian player Andres Escobar, who'd accidentally scored on his own net.

Legendary architect Frank Lloyd Wright designed the SC Johnson headquarters in Wisconsin, aiming to make a cathedral-like workplace

For centuries, it was common to sleep in two shifts: a few hours at the beginning of the night, and a longer period beginning around midnight

The hormonal disorder PCOS was renamed PMOS in 2026, a move designed to improve care and research by shifting the focus to the hormonal causes of this condition that affects 1 in 8 women.