This is an announcement for the paper "Differentiability inside sets with upper Minkowski dimension one" by Michael Dymond and Olga Maleva. Abstract: We show that every finite-dimensional Euclidean space contains compact universal differentiability sets of upper Minkowski dimension one. In other words, there are compact sets $S$ of upper Minkowski dimension one such that every Lipschitz function defined on the whole space is differentiable inside $S$. Such sets are constructed explicitly. Archive classification: math.FA Mathematics Subject Classification: 46T20 Remarks: 23 pages Submitted from: o.maleva@bham.ac.uk The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1305.3154 or http://arXiv.org/abs/1305.3154