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Features from Maths Society where we discuss mathematics, its puzzles, problems and impacts.
Feature
30 September 2025 / 6 October 2025 by Ryan G
Imagine you’re standing in front of an infinite number of sock drawers. Each drawer contains at least one sock, but all the socks are jumbled up, and, just to make things spicy, they’re not labelled or colour-coded. Your mission? Pick one sock from each drawer, forming a neat, infinite collection of single socks. Welcome to the Axiom of Choice.
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23 September 2025 / 6 October 2025 by Nathan AG
The Poincaré Conjecture, formulated by the great French mathematician Henri Poincaré in 1904, is a central question in topology, the study of shapes that can be stretched or bent without tearing, and the only Millennium Prize problem to have been solved.
5 August 2025 / 1 September 2025 by Charlton C
Ever wondered what a shape with four dimensions would look like? Discover tesseracts, klein bottles, and how to create four dimensional space.
17 June 2025 / 1 July 2025 by Nathan AG
Hilbert’s Paradox of the Grand Hotel is a fascinating thought experiment in mathematics, introduced by German mathematician David Hilbert in the early 20th century. You arrive at a hotel with an infinite number of rooms, but they are all full. However, you can still check in and get a room. Want to find out how?
10 June 2025 / 1 July 2025 by Aarav S
As one of five Learned Societies for Mathematics in the UK, and one of the world’s oldest mathematical societies, you’ve might have heard of the London Mathematical Society (LMS), and maybe even attended a lecture by them. Have you ever wondered who they actually are, or a bit more about them?
5 May 2025 / 21 August 2025 by Charlton C
This problem poses a seemingly simple yet surprisingly complex question: What is the largest possible area of a two-dimensional shape that can be manoeuvred around a right-angled corner in a corridor of unit width?
25 February 2025 / 6 October 2025 by Ryan G
Established by the Clay Mathematics Institute in 2000 to herald a new millennium of mathematics, the seven Millennium Prize Problems are among the most challenging and significant in the world of maths. Each problem brings with it a reward of $1 million for the first correct solution, a prize to inspire all kinds of mathematician to solve these notorious problems.
25 February 2025 / 6 October 2025 by Charlton C
A mathematical conjecture said to be one of the most important unsolved problems in mathematics — carrying a $1 million reward.
1 January 2025 / 1 January 2025 by Charlton C
2025 is exactly 45×45. The last square year was 1936 (44×44), and the next will be 2116 (46×46). So let’s make this year a good one! Happy New Year everybody. Wishing you a year of happiness, joy and maths!
Feature Maths News
26 December 2024 / 17 January 2025 by Charlton C
Whether its bringing us a step closer to creating a Grand Unified Theory of mathematics, understanding randomness in our universe, the astonishing advances of AI in maths or even just discovering a new prime number, there have been so many great achievements in the world of maths over the past year.
