The Trivial Inequality
One of the most fundamental inequalities in math is the Trivial Inequality, which says: If x is a real number, then . if and only if . This seemingly innocuous…
Warren Li: An Interview with an IMO Gold Medallist
Background: I had the privilege of ‘interviewing’ Warren Li OE, in which I asked him some questions about general math, the IMO (International Mathematical Olympiad), and Cambridge. Just in case…
Discover more – April 2020
We’re back with another edition of ‘Discover more.’ A quick summary in case you haven’t seen the March Edition: Every month the editors pick out a couple of interesting articles,…
Russell’s Paradox (A short introduction)
Discovered in 1901 by Bertrand Russell, this paradox is an extremely intriguing contradiction which concerns the constraints of naïve set theory, and what we can define as a set. It…
Proving an Isosceles Triangle is Isosceles Using Motion
While maths is all around us, lying at the heart of the physical world, the underlying ideas and concepts we are familiar with lie in the abstract world. When it…
Random Sphere Packing
A really common problem in an area of mathematics known as packing optimization is sphere packing: this involves determining how many spheres can be fit into a box, another sphere,…
An Introduction to the Expanse and Distribution of the Primes
Introduction The world of primes is one which is extremely diverse, ranging from simple ideas and their verifications, to more diverse, empirical observations, many of which are yet to be…
Monopoly – A game of chance?
If you’ve played a bit of monopoly, you start to realize that the orange properties seem to be the best, while Boardwalk (the last dark blue one) is rarely ever…
Cavalieri’s Principle
Bonaventura Cavalieri observed that if a set of parallel planes cutting two figures of equal height always form cross-sections of equal area, then the volumes of the solids are equal….