It turns out that hyperbolic structures are very common in nature, and the place where lots of people encounter them is coral reefs. Sea slugs, and a lot of other organisms with frilly forms, are biological manifestations of hyperbolic geometry, which is also found in the structure of lettuce leaves and kales, and some species of cactus.

Mathematicians are proud of the fact that, generally, they do their work with a piece of chalk and a blackboard. They value hand-done proofs above all else. A big question in mathematics today is whether or not computational proofs are legitimate. Some mathematicians won't accept computational proofs and insist that a real proof must be done by the human hand and mind, using equations.

Seeing and playing with physical objects can enable access to symbolic ideas. When I studied physics and math at university it was all done through equations and textbooks whereas artists go to art school and start making stuff; they fling paint at the walls, they dance and bash things together with giant bits of metal. Our society has come to think of science as being a very abstractified thing, and art as being a materialized thing.

Almost all major scientific projects today are huge collaborations, yet we still have this public obsession with the idea of the individual scientific genius. One of my goals as a science communicator is to celebrate the collaborative dimensions of science, which I think will be critical for facing the ecological and resource challenges ahead. In a sense, we are all corals now.

I don't know of any science writing going on in women's magazines, unless you count medical stories about things like breast cancer. I still think there's a huge problem about how we can actively engage a wider range of women. I'm not saying women must be a separate audience - I'm just responding to the reality that the majority of people who do read science magazines are male. That's not a value judgment; it's a statistical fact.

Science is not just for an elite few. Science's vision of the universe is becoming increasingly inaccessible. That doesn't mean it's wrong. On some levels, general relativity is right, because we have to take its calculations into account to produce accurate GPS systems. Instrumentally, it's correct to something like twenty decimal places. But epistemologically and psychologically, it is not available to most of our population.

If I could do anything in my life and be remembered for anything, I would like to be remembered for helping the world see the value of physical engagement with ideas.