Explore the algorithmic foundations of emergent behavior in analog collectives through this comprehensive lecture. Delve into self-organizing systems, programmable matter, and the challenges of top-down versus bottom-up approaches. Examine the differences between digital and analog systems, and investigate key concepts such as aggregation, compression, and connectivity. Learn about BobBots, color systems, and separation techniques. Understand the Metropolis-Hastings algorithm, stationary distribution, and one-line proofs. Analyze simulations, phase changes, and various examples to grasp the intricacies of the model. Gain insights into the complex world of emergent behavior and its applications in analog collectives.