Emergence

The arising of new unexpected structures, patterns or processes jazz groups playing live formation of snowflakes "cathedral" built by termites, the Internet, caterpillar --> butterfly

"In philosophy, systems theory and the sciences, emergence refers to the way complex systems and patterns arise out of a multiplicity of relatively simple interactions... Systems can have qualities not directly traceable to the system's components, but rather to how those components interact."

"At each level of complexity entirely new properties appear. Psychology is not applied biology, nor is biology applied chemistry. We can now see that the whole becomes not merely more, but very different from the sum of its parts." Wikipedia