Pictorial Languages of Mathematics
An article in the November-December 2017 issue of American Scientist on pictorial mathematical languages features the Quon Language created by Harvard mathematicians Zhengwei Liu, Alex Wozniakowski, and Arthur M. Jaffe. The Quon project includes the study of two-dimensional, three-dimensional, and higher-dimensional languages. "This pictorial language for mathematics can give you insights and a way of thinking that you don’t see in the usual, algebraic way of approaching mathematics," says Jaffe.
Read Daniel Silver, "The New Language of Mathematics," American Scientist 105 (2017) DOI: 10.1511/2017.105.6.364.