I had eventually come to understand that friendship was a delicate, gradual process that mustn’t be rushed or seized upon but allowed and encouraged to take its course over time. I pictured it as a butterfly, simultaneously beautiful and fragile, that once afloat belonged to the air and any attempt to grab at it would only destroy it.

When I was a child, my behavior was far from being what most people would label 'intelligent.' It was often limited, repetitive and anti-social. I could not do many of the things that most people take for granted, such as looking someone in the eye or deciphering a person's body language, and only acquired these skills with much effort over time.

I had eventually come to understand that friendship was a delicate, gradual process that mustn’t be rushed or seized upon but allowed and encouraged to take its course over time. I pictured it as a butterfly, simultaneously beautiful and fragile, that once afloat belonged to the air and any attempt to grab at it would only destroy it.

There are estimated to be fewer that 50 prodigious savants worldwide. If we were brought together, it would be disappointing in the sense of us having different abilities. One thing that would make me feel united with them would be the sense of us having grown up in isolation.

You don't have to be disabled to be different, because everybody's different.

When I multiply numbers together, I see two shapes. The image starts to change and evolve, and a third shape emerges. That's the answer. It's mental imagery. It's like maths without having to think.

Like works of literature, mathematical ideas help expand our circle of empathy, liberating us from the tyranny of a single, parochial point of view. Numbers, properly considered, make us better people.