I second your nomination of Euler's formula as the most beautiful mathematical statement! Another candidate in my mind is the generalized variant of Stokes' th

I second your nomination of Euler's formula as the most beautiful mathematical statement! Another candidate in my mind is the generalized variant of Stokes' theorem (there's nothing wrong with the basic calculus variant, but the general variant is just so succinct): https://en.wikipedia.org/wiki/Generalized_Stokes_theorem https://en.wikipedia.org/wiki/Generalized_Stokes_theorem In addition to being pleasingly succinct and symmetric in its very statement, it couples shapes and functions on them in a beautiful way. One more with this pleasing connection is the Atiyah–Singer index theorem. However, it loses some points for requiring a bit too much setup for the statement. https://en.wikipedia.org/wiki/Atiyah%E2%80%93Singer_index_theorem https://en.wikipedia.org/wiki/Atiyah%E2%80%93Singer_index_th...