Eutectic growth offers interesting instances of spontaneous pattern formation, which is therefore of immense interest both for physicists as well as material scientists. In this presentation we will first analyse stable three-phase eutectic growth for different morphologies in three dimensions such as semi-regular brick, lamellar and hexagon arrangement of phases, using both, modified Jackson-Hunt type calculations and phase-field simulations with a comparison of the undercooling vs spacing relationship. Additionally, we will comment on the relative variation of the eutectic length scales between the morphologies with change in properties of the alloy. Thereafter, we will study pattern selection during growth in three dimensions as a function of volume fractions of the solid phases as well as interfacial energies in a model alloy using phase-field simulations. Subsequently, we investigate microstructures observed in a real alloy using coupling with thermodynamic databases and survey the possible range of microstructures during isotropic three-phase growth.