Think drug-induced hallucinations, and the whirly, spirally, tunnel-vision-like patterns of psychedelic imagery immediately spring to mind. But it's not just hallucinogenic drugs that conjure up these geometric structures. People have reported seeing them in near-death experiences, following sensory deprivation, or even just after applying pressure to the eyeballs. So what can these patterns tell
us about the structure of our brains?
The notion of proof lies at the very heart of maths: it's when it comes to proving things that mathematicians let lose their genius and creativity, and in the process often discover unexpected surprises or deep philosophical issues. But proofs can also be daunting. So to help you and your students along, we've brought together a range of Plus articles on proofs.
In these days of debates on climate change we're often reminded of that other great clash between science and authority, the staunch refusal by the Catholic church to accept that the Earth moves around the Sun.
Sandy Black, Professor of Fashion and Textile Design, has combined her love of art and design with her love of mathematics in her career as a knitwear designer. Sandy talks to Plus about the mathematics in fashion, knitting, and how science and fashion could make the world a better place.