Although individual neurons are the basic unit of the nervous system, they process information by working together in neuronal circuits with specific patterns of synaptic connectivity. Here, I review common circuit motifs and architectural plans used in diverse brain regions and animal species. I also consider how these circuit architectures assemble during development and might have evolved. Understanding how specific patterns of synaptic connectivity can implement specific neural computations will help to bridge the huge gap between the biology of the individual neuron and the function of the entire brain, allow us to better understand the neural basis of behavior, and may inspire new advances in artificial intelligence.