The mathematically correct way to tie your shoes

Shoelaces 101

This website is a comprehensive resource dedicated to shoelaces, offering tutorials, photos, and information on various aspects of the overlooked everyday item. Optimize your lacing technique, read through the history, and learn other new things.

Ranking life's biggest decisions

Psychological research presents some unsurprising wisdom about how to make big decisions without regret: focus on people, don’t miss opportunities, and stay true to yourself.

Learn about CD ladders, the investing strategy in which one buys multiple CDs with different maturity dates to capitalize on high interest rates with longer-term CDs while keeping liquidity with shorter-term CDs.

Traffic flow can be improved through research into card shuffling

Card-shuffling mathematics has been applied to solving problems in biology to estimate the evolutionary distance between organisms and in computer science to determine the optimal distribution of files and folders in databases.

How the number 15 solved a longstanding math challenge

The “packing coloring” problem asks how many numbers are needed to fill an infinite grid so that identical numbers never get too close to one another. A new computer-assisted proof finds a surprisingly straightforward answer—only 15. While...

The magic angle to skip a spinning stone is 20 degrees

The traditional shoreside activity—reputedly practiced by luminaries Shakespeare and Homer—can be broken down into its bare physics, from hydrodynamics and momentum to gravity.

A mathematical and visual analysis distinguishing chaos from randomness

Random systems lack any underlying pattern or causal relationships, while chaos is mathematically deterministic because the behavior follows established laws of nature. In 3D plots, chaotic systems produce outputs that approximate a mathematical function, while random points appear as statistical noise.

A certificate of deposit (CD) strategy guide

Popular CD investment strategies include the ladder, barbell, and bullet methods. These strategies can help you get the most out of investing in CDs.

There's no right way to say 'taco'

While Americans ("tah-co") and Brits ("tack-oh") might argue about the correct pronunciation, both are understood in Spanish-speaking countries. Linguists note that the word's pronunciation is ever-evolving and informed by various cultural, psychological, and historical factors.

Bow ties became a Bill Nye wardrobe staple after he took part in an athletic banquet

In high school, boys served as waiters during a ceremony where girls would receive awards for gymnastics, lacrosse, and other sporting events. Wanting to fit the role, Nye's father helped him dress like a waiter, and he continued wearing bow ties upon seeing their practicality in the lab.

Breaking down the jargon and strategy of horse betting

Placing bets on horse racing isn't the same as a football or basketball game. You can pick a winner (win), who will come in second (place), and even third (show). And all the bets placed on a race are pooled together and divided among the winners. This Top Ten Picks video teaches the mechanics behind each bet, and shares insider tips that can lead to more informed betting choices.

Strands of DNA can act as biochemical Velcro and fasten two molecules together because the complementary bases that make up DNA strands bond together consistently.

One reason Americans are bad at math

The president of Barnard College explains why we need to better understand the links between math anxiety, math avoidance, and the US’s dismal test scores.

How the Inca used threads to communicate

One of the great mysteries of ancient Peru is that the Inca did not have a system of writing, but communicated with a system of strings tied with knots. This 4-minute video explores its possible uses.

An architect ranks the best bridges in the world

Architext Ezra Groskin builds bridges and argues that the best bridges do more than allow traffic. They should, he believes, encourage human interaction and lingering to ultimately become a destination of their own. Explore ten stunning designs that connect communities, from New York to Switzerland.

Nitrogenous bases connect like puzzle pieces due to their shape

There are four bases—adenine, thymine, cytosine, and guanine—which keep the two strands of DNA connected via chemical bonds between them. Connections between thymine and adenine require two hydrogen bonds, while those between cytosine and guanine need three hydrogen bonds. These differences in bond number prevent non-complementary pairings.

How to win a negotiation

Chris Voss, former FBI hostage chief, explains how logic and argument rarely convince someone; instead, he claims emotional intelligence is the most important factor. Watch this brief video where the expert lays out the three most important skills...

Chess unfolds in three phases: opening, middlegame, and endgame

Strong play requires adapting across phases: developing pieces and controlling the center in the opening, using tactics and strategy in the middlegame, and applying precise calculation and king activity to convert advantages in the endgame.

How math whizzes exploit sportsbooks

Chris Dirkus is a professional sports bettor who approaches the hobby as a math problem, not from a fan's perspective. He focuses on mispriced odds in popular games where many fans are betting for high liquidity. He's one of a rare segment of sports bettors exploiting slow models and human mistakes.

A fascinating look at why cucumber tendrils coil in opposite directions

The tendrils of cucumber plants coil when they hit a surface, creating a distinct telephone-cord look. Charles Darwin wrote about the mystery in the 1850s, though it wasn't until the 21st century that scientists figured out just how mysterious the coil is: its tendrils coil in opposite directions.

The odds of a perfect March Madness bracket are worse than finding one specific grain of sand on Earth

With 63 games to predict, random guessing produces odds of 1 in 9.2 quintillion. Even an informed picker who gets 67% of games right faces odds of about 1 in 120 billion, meaning if every American filled out a unique bracket, we'd expect a perfect one in roughly 366 years.

View the Lorenz attractor, a graphical solution to chaotic equations that resembles a butterfly

The discovery of chaos theory came from Edward Lorenz's computer model of the atmosphere, which used three equations to quantify atmospheric circulation. However, the chaotic evolution of this system creates wandering figure-8-like shapes—some resembling butterfly wings—as it repeatedly attempts to settle on one of two values along unique trajectories.

Chuck Taylors were once the definitive basketball sneakers

Before Michael Jordan and the Air Jordans became the iconic shoe of the league, Chuck Taylor high tops were considered the best basketball sneaks. Need proof? The 1936 US Olympic team wore matching Converse.

Bill Nye holds patents for three inventions and designs for a digital abacus

His pointe shoes feature a support structure to protect ballet dancers' toes during performance. The throwing technique trainer guides athletes in achieving the optimal form for throwing a ball, while the educational magnifying glass made from a plastic bag and water featured on his show.

An overview of 12 fundamental types of algorithms and the uses for each

These include search algorithms to quickly process and find important information, cryptographic algorithms to secure communications, randomized algorithms—such as Monte Carlo simulations for estimating probabilities of outcomes—and greedy algorithms, which make optimal choices based on available data in a step-by-step fashion, as seen in navigation apps.

The Triple Crown, explained

Only 13 horses have ever won the Triple Crown—one of the most elusive titles in American sports. This explainer breaks down how the series works, why it's so difficult to win, and the legendary horses that defied the odds across the Kentucky Derby, Preakness Stakes, and Belmont Stakes.

Six Degrees of Wikipedia, where any two articles connect in six clicks or fewer

Enter any two topics (or use suggestions) and find the shortest path of links between them. The game playfully illustrates the vast interconnections of human knowledge.

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.

'When you come to a fork in the road, take it.'

- Baseball great Yogi Berra (1925-2015)

When modeling the fastest way to board passengers onto an airplane, research shows that random boarding is often faster than boarding in groups.

Watch 5 AI models try to resolve variations of the trolley problem

The thought experiment in moral philosophy presents two bad outcomes from which to choose. The experiment reveals the interpretive ethics of AI systems and how they navigate scenarios that are impossible to resolve successfully.

The internet explained at five levels of difficulty, from protocols to internet flattening

Resembling a roadway with traffic laws that all cars must follow, the internet is the hardware that connects a source to a destination, and these connections must follow specific software rules. Although data had to travel through about 10 networks to reach a destination in the past, data centers increasingly consolidate traffic, just as a highway does for cars, to improve data speeds.

How to write a check

Physical checks are not necessarily in vogue anymore, but there are several situations in which one should know how to write them. This article breaks down the basics of checks for beginners, from acquiring a checkbook to filling them out. Consult with their example template to make sure you got it right.

Da Vinci’s ingenious self-supporting bridge

Without using glue or nails, the brilliant polymath Leonardo Da Vinci was able to construct a sturdy bridge of wood logs. This video unpacks the genius civil engineering behind this concept and offers a visual demonstration of how it worked. See how Da Vinci accomplished this feat without using permanent parts, and how his bridge got even stronger as weight and force was added.

Watch Bill Nye discuss biomechanics and sustainability while shopping for sneakers

While exploring sneaker history and technology, Nye covers the science of structural design, air bubbles and materials, including algae foam. He once voiced a 20-minute guided run on the Nike Run Club app.

The 60/40 method says to allocate 60% of your portfolio to stocks, and 40% to bonds

The 60/40 method used to be the golden rule when planning for retirement, as stocks are more lucrative and bonds are more reliable. However, it isn’t necessarily the go-to recommendation anymore.

Running a ribbon around the edge of a blade creates curls because it stretches its outer side beyond the yield—the limit at which a material can be deformed but still return to its original shape once the force is removed.

A man’s genes can predict his hairline

There’s actually some truth to the idea that you should look at your mother’s father. But genetic research tells us that the full picture is somewhat more complicated. An interesting read on how to use genetics to figure out if you'll go bald (with illustrations).

The three types of coral reefs—fringing, barrier, and atoll—are categorized by where they form.

Stacking nucleotide molecules like toy blocks helps build DNA's structure

Each nucleotide is made up of a sugar—deoxyribose—a phosphate group, and one of four bases that contain nitrogen. Like building a two-tone, spiral staircase from the ground up, nucleotides are linked one on top of another so that sugars and phosphates alternate. The twisted strands are held together by hydrogen bonds between base pairs.

These famous brands used to have different names

Did you know that Nike used to be called Blue Ribbon Sports? Or that Google was originally named BackRub? Getting a brand's name right is a tough job; there's an entire cottage industry of brand naming agencies to prove it. See which brands got it right the first time—and which ones might be better off with their current names—in this article.

Learn about how highways are designed and the geometry behind what makes them safe and efficient.

A taxonomy of Mardi Gras' many krewes

There's more than one kind of krewe in New Orleans. This handy guide breaks down some of the most famous (such as the Krewe of Zulu and the Krewe of Rex) and explains the differences between a "super krewe" and a "walking krewe."

Prediction markets have their own lingo that's an amalgamation of Gen Z and Gen Alpha slang

For instance, if you've been out-maneuvered by another trader, you've been "mogged." A "rulescuck" is someone who is a stickler for betting market rules and may try to win on a technicality.

A step-by-step guide to the Martha Graham technique

This BBC explainer walks you through Martha Graham's famous approach to dance, offering you six moves you can work into your exercise regimen—or Graham-inspired routine.

Cooling lava naturally creates hexagonal cracks to evenly relieve stress

When lava cools and turns into rock, it contracts and builds up tension, particularly when held in place by the surrounding landscape. Just as drying mud cracks, initial cracks in the rock are random, but quickly organize into a hexagonal pattern, which scientists consider the most space-efficient shape.

How the inventor of Mario designs games

Shigeru Miyamoto has created some of the most iconic video games in history, from Super Mario Bros. and Donkey Kong to The Legend of Zelda. The game producer boils down his creative philosophy to three basic principles: story, simplicity, and...

Onion routing disguises internet traffic in layers resembling a nesting doll

Data is encrypted at least three times before being sent to a node—a server that can only decrypt one layer. Then, the underlying encrypted data is relayed to another node, and the process repeats until all layers are decrypted. Thousands of possible nodes make it extremely difficult to trace activity within the system.

Turtles' sense of direction comes from sensitivity to Earth's magnetic field and wave movement

Female sea turtles use this ability to migrate hundreds of kilometers across the ocean from their feeding grounds to the beaches where they were born to lay their eggs. Researchers have found that these turtles can reach these beaches despite ending up significantly off course as they detour away from predators or toward foraging territories.

Hear history nerd Ray Dalio talk about making decisions during times of uncertainty

For Dalio, history is the best teacher. Dalio emphasizes relying on and respecting the past as a framework for the future, so that during unsettling times, people still make good decisions.