Explore the construction of an analog neural network in vanilla Minecraft without mods or command blocks in this innovative video tutorial. Learn how Redstone wire power strengths carry signals through a hidden layer, incorporating nonlinearities, automatic backpropagation, and weight updates. Dive into explanations of Redstone components, analog multiplication techniques, and gradient descent for square root computation. Witness a live demonstration of the neural network in action, followed by a detailed breakdown of the network schema. Observe the network learning process as it adapts to a datapoint, and gain insights into the potential applications of this unique Minecraft creation.