Gus Evrard -- U. Michigan Advances in X-ray Clusters and Numerical Cosmology There is now fairly convincing observational evidence supporting the notion that the intracluster gas content and structure in galaxy clusters is strikingly regular. An example is the X-ray (isophotal) size-temperature relation : a distance indicator for clusters with scatter competitive with the fundamental plane method of elliptical galaxies. The small scatter in this and newly derived luminosity-temperature relations put stringent limits on the level of intrinsic variations in intracluster gas fraction within the virial regions of clusters. The regularity of gas content makes determination of the population mean value straightforward $\bar{f}_{gas}(r_{500}) = 0.060 \pm 0.003 h^{_3/2}$, and this value points toward a cosmology with mass density significantly less than the critical value $\Omega_m h^{2/3} = 0.030 \pm 0.007 (\pm .003)$. Numerical simulations of cluster formation continue to play a crucial role in data interpretation. The family of observed clusters is not self--similar (little clusters are not scaled down versions of big clusters), and the direction away and degree of departure from self-similarity are matched by models which incorporate the effects of galactic winds on the intracluster plasma. But can such simulations be trusted? I will provide some insight into this question by sharing results from a blind comparison test of twelve independent, cosmological gas dynamics codes applied to the formation of a single galaxy cluster.