Research is also showing that traits associated with different mental illnesses have different effects on creativity. The creativity needed to develop the theory of relativity, is, for example, very different from that required for producing surreal paintings, or poetry.
Research is now homing in on whether the psychosis that is linked to different types of creativity comes through schizophrenia and schizotypy traits, through manic-depressive or cyclothymic traits, or traits associated with the autism and Asperger's disorders. A study at the University of Newcastle found significant differences between artistically creative people and mathematicians. While the artists showed schizotypy traits, mathematicians did not, and that fits in with the idea that mathematics and engineering, which require attention to detail, are closer to the autistic traits than to psychosis.
The two paragraphs above were taken from this most interesting article which helps validate my feelings on the differences between the aesthetics of mathematics and art.
Here is the link to the original source for the paragraphs above.