At the Engineering Mathematics and Computing Lab (EMCL) in the Karlsruhe Institute for Technology (KIT) three-dimensional simulations are undertaken in the areas of medicine, meteorology and energy. The applications where mathematics is used to solve problems of high impact for society reach from the simulation of human respiration, over tropical cyclones up to energy-efficient computers, delivering fascinating insights and new solutions. For solving such problems, the scientists are working on the world fastest computers that are delivering an unthinkable huge amount of numbers and 3D-data: Striving for comprehensible and fascinating representations of this flood of information, technology and society are meeting in dialog.