
Title: Humble Pi: A Comedy of Maths Errors
Author: Matt Parker
Completed: March 2026 (Full list of books)
Overview: A few years ago, my friend and favorite math buddy recommended this book to me. It took a while to get to it but was enjoyable. A few of the stories in here were familiar to me but he does a good job connecting them while dropping amusing enough asides in that even non-math-nerds would laugh at the jokes. Thanks, Betsy for the recommendation.
Highlights:
- If you ask someone what number is halfway between one and nine, they will say five – but only because they have been taught to. Wake up, sheeple! Humans instinctively perceive numbers logarithmically, not linearly. A young child or someone who has not been indoctrinated by education will place three halfway between one and nine. Three is a different kind of middle. It’s the logarithmic middle, which means it’s a middle with respect to multiplication rather than addition. 1 × 3 = 3. 3 × 3 = 9. You can go from one to nine either by adding equal steps of four or multiplying by equal steps of three. So the ‘multiplication middle’ is three, and that is what humans do by default, until we are taught otherwise.
- But astronomy does give Julius Caesar the last laugh. The unit of a light-year, that is, the distance travelled by light in a year (in a vacuum) is specified using the Julian year of 365.25 days. So we measure our current cosmos using a unit in part defined by an ancient Roman.
- Resonance can affect buildings as well. In July 2011 a thirty-nine-storey shopping centre in South Korea had to be evacuated because resonance was vibrating the building. People at the top of the building felt it start to shake, as if someone had banged the bass and turned up the treble. Which was exactly the problem. After the official investigation had ruled out an earthquake, they found the culprit was an exercise class on the twelfth floor. On 5 July 2011 they had decided to work out to Snap’s ‘The Power’, and everyone jumped around harder than they usually did.
- On the Millennium Bridge, people did start to walk in step, because the movement of the bridge affected the rhythm at which they were walking. This formed a feedback loop: people stepping in synch caused the bridge to move more, and the bridge moving caused more people to step in synch. Video footage from June 2000 seems to show over 20 per cent of pedestrians walking in step – more than enough to get the resonant frequency ringing and the middle of the bridge swaying about 7.5 centimetres in each direction. Fixing it was a costly two-year retrofit, during which the bridge was completely closed. Removing the wobble cost £5 million, on top of the original £18 million build. Part of the difficulty was breaking the pedestrian-bridge feedback loop without changing the aesthetics of the bridge. Hidden beneath the footpath and around the structure are thirty-seven ‘linear viscous dampers’ (tanks with a viscous liquid that a piston moves through) and around fifty ‘tuned mass vibration absorbers’ (pendulums in a box).
- One of the first bridges to be destroyed by synchronized pedestrians was a suspension bridge just outside Manchester (in what is now the city of Salford). I believe that this Broughton Suspension Bridge was the earliest bridge destroyed when people walked over it at the resonant frequency.
- This is a common theme in human progress. We make things beyond what we understand, and we always have done. Steam engines worked before we had a theory of thermodynamics; vaccines were developed before we knew how the immune system works; aircraft continue to fly to this day, despite the many gaps in our understanding of aerodynamics. When theory lags behind application, there will always be mathematical surprises lying in wait. The important thing is that we learn from these inevitable mistakes and don’t repeat them.
- players noticed that Gandhi was a bit of a jerk. Once he developed atomic technology, he would start dropping nuclear bombs on other nations. This was because of a mistake in the computer code. The game designers had deliberately given Gandhi the lowest non-zero aggression rating possible: a score of 1. Classic Gandhi. But later in the game, when all the civilizations were becoming more, well, civilized, every leader had their aggression rating dropped by two. For Gandhi, starting from 1, this calculation played out as 1 − 2 = 255, suddenly setting him to maximum aggression. Even though this error has since been fixed, later versions of the game have kept Gandhi as the most nuke-happy leader as a tradition.
- the only quote from me that has been made into a poster by teachers and put up in their classrooms is: ‘Mathematicians aren’t people who find maths easy; they’re people who enjoy how hard it is.’
- Because of the Quebec Bridge disaster, starting in 1925 any student graduating from an engineering degree in Canada can attend a voluntary Ceremony of the Calling of an Engineer, where they are given a steel ring to remind them of the humility and fallibility of engineers. It can be a tragedy when a mathematician makes a mistake which causes a disaster, but that does not mean we can do without mathematics. We need engineers designing bridges, despite the pressure that comes with it.















