AbstractParallel supercomputers are now in regular use at Caltech for several major scientific calculations. We use this experience to abstract a set of lessons for applications, decomposition, performance, hardware and software. We consider hypercubes, transputer arrays and the SIMD Connection Machine CM‐2 and AMT DAP. These are contrasted, where possible, with CRAY and other high performance conventional computers. Applications covered are lattice gauge theory, plasma physics, statistical and condensed matter physics, astronomical data analysis, quantum chemistry, graphics ray tracing, string dynamics, grain dynamics, astrophysical particle dynamics, computer chess and Kalman filter