The Mathematics of Birdsong
A wood thrush's song looks more like a Bach cadenza than a bird call. Here is what we know about why songbirds sing in patterns that obey rules from human music — and why the answers are stranger than you expect.
The odd mechanics of living things, by Maren.
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A wood thrush's song looks more like a Bach cadenza than a bird call. Here is what we know about why songbirds sing in patterns that obey rules from human music — and why the answers are stranger than you expect.
In 1951, a young economist named Kenneth Arrow proved that no voting system can satisfy a short list of obvious-looking properties at the same time. Seven decades later, the implications are still unresolved — and they affect every group decision you participate in.
Every room you walk into has an acoustic signature you don't notice — until you do. The physics of sound shapes hospitals, restaurants, classrooms, and concert halls in ways most architects ignore and most occupants feel without naming.
In 1967, Benoit Mandelbrot published a paper with a strange title: 'How Long Is the Coast of Britain?' His answer was stranger still — the question has no answer, and that fact reshaped a branch of mathematics.
In 1202, Leonardo of Pisa — better known as Fibonacci — published Liber Abaci, a book about arithmetic that included a throwaway problem about rabbit breeding. How many pairs of rabbits would you have
You are at the grocery store. Five checkout lanes are open. You pick the shortest one. Within thirty seconds, the person in front of you produces a coupon that requires a manager. The lane next to you