This is an announcement for the paper "No return to convexity" by Jakub Onufry Wojtaszczyk. Abstract: In the paper we study closures of classes of log--concave measures under taking weak limits, linear transformations and tensor products. We consider what uniform measures on convex bodies can one obtain starting from some class $\mathcal{K}$. In particular we prove that if one starts from one--dimensional log--concave measures, one obtains no non--trivial uniform mesures on convex bodies. The operations we consider are easily proved to preserve a number of important properties, including a uniform bound on the isotropic constant and $IC$ inequalities. Archive classification: math.FA math.MG math.PR Mathematics Subject Classification: 52A23 Remarks: 12 pages The source file(s), , is(are) stored in gzipped form as with size . The corresponding postcript file has gzipped size . Submitted from: onufryw@gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0910.3288 or http://arXiv.org/abs/0910.3288 or by email in unzipped form by transmitting an empty message with subject line uget 0910.3288 or in gzipped form by using subject line get 0910.3288 to: math@arXiv.org.