logo
episode-header-image
Oct 2022
26m 27s

The problem of infinite Pi(e)

Bbc World Service
About this episode

Pi is the ratio between a circle’s diameter and its circumference. Sounds dull – 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 ‘pie-endulum’ 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’s 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’s ubiquity so deeply mysterious.

Up next
Aug 25
The Life Scientific: Claudia de Rham
Claudia de Rham has rather an unusual relationship with gravity.While she has spent her career exploring its fundamental nature, much of her free time has involved trying to defy it - from scuba diving in the Indian Ocean to piloting small aircraft over the Canadian waterfalls. H ... Show More
26m 29s
Aug 18
The Life Scientific: Neil Lawrence
When you think of Artificial Intelligence, does it inspire confidence, or concern?Although it's now generally accepted that this technology will play a major role in our future, a lot of conversations around AI and machine learning come back to the argument over us losing control ... Show More
26m 29s
Aug 11
The Life Scientific: Liz Morris
A frozen, white world at the far-reaches of the globe, where you're surrounded by snow and silence, might sound rather appealing. Factor in temperatures that drop to -57°C and a few of us might be put off - but for glaciologist Liz Morris, that's very much her happy place.Liz is ... Show More
26m 27s
Recommended Episodes
Sep 2004
Pi
Melvyn Bragg and guests discuss the history of the most detailed number in nature. In the Bible's description of Solomon's temple it comes out as three, Archimedes calculated it to the equivalent of 14 decimal places and today's super computers have defined it with an extraordina ... Show More
28m 15s
Mar 2018
This Pi Day, Calculate the Value of Pi for Yourself
It is once again Pi Day (March 14—which is like the first digits of pi: 3 and 14). Before getting into this year's celebration of pi, let me just summarize some of the most important things about this awesome number. Outside the US, Pi Day should probably be July 22 (22/7)—this f ... Show More
5m 14s
Oct 2023
That Time Indiana Tried to Change Pi
Pi itself is pretty ridiculous. This number -- the ratio of the circumference of any circle to the diameter of that circle -- appears to continue into infinity, with no predictable pattern. In today's episode, Ben, Noel and Max explore something even more ridiculous: that time in ... Show More
41m 14s
Mar 2024
Pi vs. Pie: Stories about Pi Day
Happy Pi Day! In honor of upcoming Pi Day on March 14, this week’s episode features two stories about the nerdy celebration. Both of our storytellers will whisk you away on a journey filled with equal parts math and pastry, proving that whether you're calculating circumference or ... Show More
30m 39s
Mar 2022
Voir l'univers à l'intérieur d'un nombre
🎙️ William Blake disait : « Voir un univers dans un grain de sable, et un paradis dans une fleur sauvage. Tenir l'infini dans la paume de la main, et l'éternité dans une heure. »  Eh bien nous, on va tenter de voir l’univers… dans Pi.   Bah oui,  le 14/03, c’est le Pi Day, le jo ... Show More
7m 32s
Jan 2020
What is infinity?
Is there something bigger than infinity? Does quantum mechanics affect how I think? And why can I suddenly do algebra? As ever, we’re not afraid to tackle the big questions on CrowdScience. After a previous episode about the relationship between mathematics and reality, we receiv ... Show More
33m 45s
Mar 2020
Humble Pi: When Math Goes Awry
Pi Day (3/14) approaches. To help honor the coming holiday and the importance of math, stand-up mathematician Matt Parker unspools a common math mistake known as the off-by-one-error. His new book is called 'Humble Pi: When Math Goes Wrong In The Real World.' Email the show at sh ... Show More
11m 34s
Mar 2022
Is maths real?
Faced with one cake and eight hungry people, it’s pretty obvious how maths underpins reality. But as mathematics gets further from common sense and into seemingly abstract territory, nature still seems to obey its rules - whether in the orbit of a planet, the number of petals on ... Show More
32m 15s
Feb 2023
The Impossible Number
There is a bizarre number in maths referred to simply as ‘i’. It appears to break the rules of arithmetic - but turns out to be utterly essential for applications across engineering and physics. We’re talking about the square root of -1. WHICH MAKES NO SENSE.Professor Fry waxes l ... Show More
41m 48s
Mar 2023
How To Bake Pi, Mathematically (And Deliciously)
This March 14, Short Wave is celebrating pi ... and pie! We do that with the help of mathematician Eugenia Cheng, Scientist In Residence at the School of the Art Institute of Chicago and author of the book How to Bake Pi. We start with a recipe for clotted cream and end, deliciou ... Show More
13m 4s