The problem of infinite Pi(e)
How did we discover Pi? How do we know that it鈥檚 infinite and never repeats?鈥 asks Alex.
Pi is the ratio between a circle鈥檚 diameter and its circumference. Sounds dull 鈥 but pi turns out to have astonishing properties and crop up in places you would never expect. For a start, it goes on forever and never repeats, meaning it probably contains your name, date of birth, and the complete works of Shakespeare written in its digits.
Maths comedian Matt Parker stuns Adam with his 鈥榩ie-endulum鈥 experiment, in which a chicken and mushroom pie is dangled 2.45m to form a pendulum which takes *exactly* 3.14 seconds per swing.
Mathematician Dr Vicky Neale explains how we can be sure that the number pi continues forever and never repeats - despite the fact we can never write down all its digits to check! She also makes the case that aliens would probably measure angles using pi because it鈥檚 a fundamental constant of the universe.
Nasa mission director Dr Marc Rayman drops in to explain how pi is used to navigate spacecraft around the solar system. And philosopher of physics Dr Eleanor Knox serves up some philoso-pi, revealing why some thinkers have found pi鈥檚 ubiquity so deeply mysterious.
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