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Why “The old man the boat” reads as broken: garden-path sentences
Read this: The old man the boat. If it stalled you at the end, your brain did exactly what it always does: it guessed ahead and lost the bet. A garden-path…
Why a tone can climb forever without getting higher: the Shepard illusion
Play a tone that climbs and climbs, forever, and never gets any higher. It sounds impossible, but it only takes a few sine waves and one volume curve. A…
Why 0.1 + 0.2 isn't 0.3: flip the 64 bits a computer uses for decimals
Type 0.1 + 0.2 into almost any programming language and you get 0.30000000000000004. Nothing is broken. Computers count in powers of two, and a tenth is an…
Why you can't ignore the word and name the colour: the Stroop effect
Read the word, then name its ink colour: you can't turn reading off. In 1886 Cattell noticed that people read words faster than they name colours, and in 1935…
Why every bridge is made of triangles: a square frame folds, a triangle can't
Push on the corner of a square frame and it folds flat. Push on a triangle made of the same sticks and nothing moves. The reason is simple: three side lengths…
Why adding a road can slow every driver down: Braess's paradox
You would think a free shortcut can only help. In 1968 the mathematician Dietrich Braess showed it can make every driver slower. In our four-road example…
Why salt makes ice cream freeze: the cold that ice and salt create
Ice is already cold, so why does salt make ice cream freeze? Because salt does not add cold. It stops the ice and water from staying in balance at 0 °C…
Why a tossed tennis racket flips: the intermediate axis theorem
Spin a tennis racket about its handle or its face and it flies cleanly. Spin it about the third axis and it flips, even in orbit where nothing pushes on it…
How a leopard gets its spots: Turing's two-chemical pattern machine
A leopard's spots and a zebra's stripes start out as a smooth sheet of near-identical cells. In 1952 Alan Turing showed that two interacting chemicals, one…
How a 2,000-year-old bronze machine predicted eclipses with the number 223
In 1901, divers pulled a corroded bronze machine from a shipwreck off the Greek island of Antikythera. One dial ended in the number 223, written in Greek…
How dropping needles on a floor reveals the number π: Buffon's needle
Toss a match onto a plank floor and ask: does it touch a crack? Do it thousands of times and the fraction that do will quietly spell out π, though no circle is…
Why one day on Mercury lasts two Mercury years
Mercury circles the Sun in 88 Earth days and spins once every 58.6 days. That odd pairing, three spins for every two orbits, means one sunrise to the next…