Mikhail Gromov in 2003 proved the waist theorem for a radially symmetric Gaussian measure in $\mathbb R^n$: For any such measure and any continuous map $ f: \mathbb R^n \to\mathbb R^m$, there exists a point $y\in\mathbb R^m$ such that for any $t>0$ the measure of the $t$-neighborhood of the preimage $f^{-1}(y)$ is not less than the measure of the $t$-neighborhood of the standard linear subspace $\mathbb R^{n-m}\subseteq\mathbb R^n$. We were thinking about a version of this theorem for a non-radial Gaussian measure. We managed to establish such with a similar statement, of course, the linear subspace $\mathbb R^{n-m}\subseteq\mathbb R^n$ at the end of the statement needs to be chosen more carefully. It is curious that our proof also gives a simplification of Gromov's proof with the help of Caffarelli's theorem on monotone transportation. We were also thinking about certain radial measures that are not Gaussian, mostly finding counterexamples to the waist theorem's statement. Full exposition is in the paper: https://arxiv.org/abs/1808.07350. This is a joint work with Arseniy Akopyan from IST Austria.