The literature on art and mathematics has focused largely on how geometric forms have influenced artists and on the use of computer visualization in mathematics. The authors consider a fundamental but undiscussed connection between mathematics and art: the role of drawing in mathematical research, both as a channel for creativity and intuition and as a language for communicating with other scientists. The authors argue that drawing, as a shared way of knowing, allows communication between mathematicians, artists and the wider public. They describe a collaboration based on drawing and “inverse vision” in which the differing logics of the artist and the mathematician are treated on equal terms.

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