A computerized computer system entity rendering method provides rendering on a display screen a computer system entity visualization according to an arrangement of icons corresponding to physical and virtual entities in the computer system. In one implementation, the method includes modeling of the computer system, including physical and virtual entities, and associating the physical and virtual entities with entity types and assigning the entity types with plural computer system diagram levels. An arrangement of icons on a display screen corresponding to the physical and virtual entities in the computer system is determined, with the arrangement of icons including application of force-directed spacing of icons and constraints on icon positioning according to computer system diagram levels.