What is the Area of a Circle? You might know the famous formula for an area of a circle, but why does this formula work? Tom Körner's explanation really is a piece of cake, served up with a hefty estimate of pi.
Quantum geometryOne of the many strange ideas from quantum mechanics is that space isn't continuous but consists of tiny chunks. Ordinary geometry is useless when it comes to dealing with such a space, but algebra makes it possible to come up with a model of spacetime that might do the trick. And it can all be tested by a satellite. Shahn Majid met up with Plus to explain.
Non-Euclidean geometry and Indra's pearlsIf you've ever redecorated a bathroom, you'll know that there are only so many ways in which you can tile a flat plane. But once you move into the curved world of hyperbolic geometry, possibilities become endless and the most amazing fractal structures ensue. Caroline Series and David Wright give a short introduction to the maths behind their beautiful images.
Matrix: Simulating the world Part I - Particle modelsIf you've ever watched a flock of birds flying at dusk, or a school of fish reacting to a predator, you'll have been amazed by their perfectly choreographed moves. Yet, complex as this behaviour may seem, it's not all that hard to model it on a computer. Lewis Dartnell presents a hands-on guide for creating your own simulations — no previous experience necessary.
How time does PASSPlus magazine is celebrating its 10th birthday. To mark the occasion, the founding editors of Plus look back on the beginnings, see what has changed in maths and public understanding of maths and pick out some of the articles they liked best.
Maths goes to the moviesComputer generated movies and electronic games: Joan Lasenby tells us about the mathematics and engineering behind them.
"Read Euler, read Euler, he is the master of us all."Leonhard Euler was one of the most prolific mathematicians of all time. This year marks the 300th anniversary of his birth. Robin Wilson starts off a four part series on Euler with a look at his life and work.
