In fact it's not clear that mathematicians have any shared sense of aesthetic: https://www.gwern.net/The%20Existential%20Risk%20of%20Mathematical%20Error https:

In fact it's not clear that mathematicians have any shared sense of aesthetic: https://www.gwern.net/The%20Existential%20Risk%20of%20Mathematical%20Error https://www.gwern.net/The%20Existential%20Risk%20of%20Mathem... >The survey of mathematicians conducted by Wells (1990) provides a more empirically-based challenge to the intrinsic view of the mathematical aesthetic. Wells obtained responses from over 80 mathematicians, who were asked to identify the most beautiful theorem from a given set of 24 theorems. (These theorems were chosen because they were ‘famous’, in the sense that Wells judged them to be well-known by most mathematicians, and of interest to the discipline in general, rather than to a particular subfield.) Wells finds that the mathematicians varied widely in their judgments. More interestingly, in explaining their choices, the mathematicians revealed a wide range of personal responses affecting their aesthetic responses to the theorems. Wells effectively puts to rest the belief that mathematicians have some kind of secret agreement on what counts as beautiful in mathematics…