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Why a roast keeps getting hotter after you take it out: carryover cooking and the heat still on its way in
You pull the roast at 60 °C, and five minutes later the probe says 66 °C. Nothing is heating it, so where did the heat come from? The answer is that an oven…
Why fair coin flips end with one person owning almost everything: the yard-sale model of wealth
Give 60 people 100 coins each and let them trade by fair coin flips, with the stake a fixed share of the poorer person's wealth. Nobody has any skill or…
Why a skater spins faster when she pulls her arms in: angular momentum and r squared
A skater starts a slow spin with her arms wide, pulls them in, and blurs into a fast spin with no push from anything. The trick is a quantity that cannot…
Why a dropped stick can find π: Buffon's needle
Drop a stick on a floor of planks and count how often it lands across a seam. The count secretly contains π: for a needle as long as the plank width, the…
Why 23 people are enough for a shared birthday: counting pairs, not people
Put 23 people in a room and the chance that two share a birthday is already 51%. It feels far too low a number, because we picture one person matching our…
Why mild preferences can build a segregated town: Schelling's chequerboard
Nobody in this town wants it split into blue and orange districts. Each household only asks that a few of its neighbours look like it. Yet run the rule and the…
Why switching doors wins twice as often: the Monty Hall problem
Three doors, one car. You pick one, the host opens a goat door, and offers a swap. Most people say it's 50/50. It isn't: switching wins twice as often as…
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 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 traffic jams appear out of nowhere
Sometimes a motorway grinds to a halt and then clears up with no crash, roadworks or merge in sight. That's a phantom traffic jam, and it starts with one…