Explore the concept of compositionality in a comprehensive lecture by Lucas Tian from The Rockefeller University. Delve into the key features of compositionality and its applications beyond language. Examine how compositionality works through four key reasons, including tool construction, vocalizations, and drawing. Investigate drawing in primates and monkeys, and analyze three crucial questions related to Action Primitive Index, Action Order, and Action Hierarchy. Learn about lines and circles in the context of compositionality, and gain insights into ongoing research in this field. Conclude with a summary of the main points discussed throughout the hour-long presentation.