To multiply two numbers, he sees each number’s shape floating in his mind’s eye. Intuitively, and without effort, he says, a third shape, the answer, forms in the negative space between them. “It’s like a crystallization. It’s like developing a photo,” Daniel told me. “Division is just the reverse of multiplication. I see the number and I pull it apart in my head. It’s like leaves falling from a tree.” Daniel believes his synesthetic shapes somehow implicitly encode important information about the properties of numbers. Prime numbers, for example, have a “pebble-like quality.” They’re soft and
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This is the most fascinating thing. What can we learn about numbers and advanced math from this mind?
