Emergence is a ubiquitous feature of geological structures. Patterns self-organize out of apparently formless driving forces. Ripples on sand, cracks in mud, hexagonal columns in lava flows, river meanders, ribs on icicles, and stalactites are all examples of emergent "geopatterns". These shapes evolve and grow spontaneously from unstable dynamic processes of growing, folding, cracking, wrinkling, branching, flowing, and other kinds of morphological development. We appreciate their life-like complexity intuitively. Stephen Morris will present a selection of studies of such geopatterns, both from Nature and in controlled experiments done in his laboratory in the Department of Physics at the University of Toronto. Some of his images have been repurposed as visual art and many images and movies are available as open source data in the Icicle Atlas.