World In Brief · Junior Edition
June 20, 2026
The shapes of a donut and a mug are similar. Both have a single hole. If you made these shapes from clay, you could mold one into the other without breaking or tearing the clay. Under certain rules, these shapes could represent members of one topological family. Steven Errico/Getty Images

Scientists Say: Topology

Topology is a type of math. It studies how shapes change when you stretch or squeeze them. Geometry looks at exact sizes, like the length of a line. Topology is different. It is like a game with rules. One rule might be that shapes can change into each other without tearing. For example, a donut and a coffee mug are in the same family. Both have one hole. You can mold a clay mug into a donut without breaking it. Another rule might be about shapes with no clear inside or outside. A Möbius strip is one such shape. It is a loop with a twist. A ball can roll all over it without crossing an edge. Topology helps scientists understand what is possible. Engineers use it to invent new things. Cosmologists use it to study the universe. Physicists use it to learn about matter.

📖 New Words
  • topology — A type of math that studies how shapes change when stretched or squeezed without tearing. (拓扑学)
  • morph — To change shape smoothly into something else. (变形)
  • Möbius strip — A twisted loop that has only one side and one edge. (莫比乌斯带)
  • cosmologist — A scientist who studies the universe and how it began. (宇宙学家)
  • non-orientable — Having no clear inside or outside surface. (不可定向的)
The loud squeaks of basketball shoes develop as parts of the sole slip on the court surface. Those slips repeat thousands of times a second. FreshSplash/Getty Images

Physics explains why sneakers squeak on the basketball court

Have you ever heard a basketball shoe squeak on the court? That sound happens when players stop or turn quickly. Scientists now know why. They used high-speed cameras to watch shoes slide on glass. The shoe sole sticks and slips in tiny bursts. These bursts happen about 4,800 times every second! Each burst makes a sound wave. The pitch of the squeak matches how fast the bursts happen. The ridges on the shoe sole help make the squeak clear. Without ridges, the sound is messy. Scientists also found that the thickness and stiffness of the sole set the pitch. To make silent shoes, makers could tune the squeak to a very high pitch that humans cannot hear. But dogs can hear it, so your pet might not like them. The scientists even made rubber blocks that squeak to play a song from Star Wars. This shows that squeaky shoes can be fun too!

📖 New Words
  • squeak — A short, high-pitched sound (吱吱声)
  • burst — A sudden, short happening (爆发)
  • pitch — How high or low a sound is (音高)
  • ridge — A raised line on a surface (脊纹)
  • ultrasonic — Too high-pitched for humans to hear (超声波的)
A chemical in flying onion juice is the culprit for a cook’s stinging tears. Changing how the onion is chopped can eliminate those tears. chiinka/Creatas Video+/Getty Images Plus

Chopping an Onion? Sharp Knives Can Keep Its Juice Out of Your Eyes

Do you cry when you chop an onion? A new study says you can stop those tears. Use a sharp knife and cut slowly. This keeps the onion juice from flying into your eyes.

Onions make a chemical that stings your eyes. When you cut an onion, tiny drops of this chemical fly into the air. If they hit your eyes, they cause tears.

Scientists used a high-speed camera to watch onion drops fly. They found that a dull knife needs more force to cut. This force squashes more cells and sends drops flying fast — up to 90 miles per hour!

But a sharp knife cuts with less force. Slow, steady cuts keep the drops low. They don't reach your eyes. So you won't cry.

The study also helps scientists learn how germs spread through the air. The same way onion drops fly, germs might travel too.

📖 New Words
  • chemical — A substance made when two or more elements join together (化学物质)
  • sensor — A device that detects things like light, heat, or pressure (传感器)
  • force — A push or pull that can change how something moves (力)
  • pressure — The force applied to a surface over a certain area (压力)
  • microbe — A very tiny living thing that can only be seen with a microscope (微生物)