Nature doesn't feel compelled to stick to a mathematically precise algorithm; in fact, nature probably can't stick to an algorithm.

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.

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.

When you're in a room with twenty people who've all got the True Theory of the universe, it's difficult to know what to do. And the paradox is that so much important science is now being done by huge teams. With Higgs boson, for example, it's estimated there were around ten thousand scientists and engineers involved in building the machines that made this discovery possible.

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.

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.