A U-boat that broke through could only sink so many ships before being driven off — a number independent of convoy size. So the bigger convoy lost the same ships spread across twice as many hulls. Loss rate, roughly halved. No new weapons. Just math.
To beat the U-boats, the Allies made their convoys bigger.
Every captain said it was suicide.
The math said the opposite — and it was right.
Losses scale with a convoy's edge, not its size. Double the ships, the perimeter barely grows. Geometry won the Atlantic. 🧵👇
How the Ghost Army built an army from nothing 👇
🎈 Inflatable tanks, trucks & guns — light enough for a few men to lift, convincing from the air.
🔊 Sonic deception
📻 Fake radio traffic
What story should we cover next? 👇
German scouts looked down on a valley filled with an entire army — tanks, trucks, thousands of men.
None of it was real.
How a few hundred American artists fooled the German army with rubber and sound 🧵🖊️
Petrov's reasoning: why would the US start a war with only 5 missiles? A real first strike would launch thousands.
He trusted that logic over the screen.
The cause turned out to be sunlight glinting off high clouds, fooling the satellites.
In 1983, a Soviet computer reported five US nuclear missiles inbound.
One officer was supposed to report it up the chain. Instead he called it a false alarm.
He was right — and that's the only reason you're alive. 🧵🖊️
Every plane they studied had survived. The holes marked where a bomber CAN take a hit.
The fatal damage was on the planes that never returned — the data they couldn't see.
So they armored the clean spots. It's called survivorship bias.
The Army wanted to armor the bullet holes on returning bombers.
A mathematician told them to armor everywhere else.
He was right — and thousands of pilots came home because of it. 🧵🖊️
The Allies had spies across all of Europe.
A mathematician with a pencil beat every single one of them.
How they counted Germany's tanks using nothing but serial numbers 🧵🖊️