Patterns in nature can be seen every day, yet in many cases, little is understood about how and why they form. Now University of Arizona mathematicians have found a way to predict natural patterns, including fingerprints and the spirals seen in cacti. UA graduate student Michael Kuecken developed a mathematical model that can reproduce fingerprint patterns, while UA graduate student Patrick Shipman created a mathematical model to explain the arrangement of repeated units in various plants. Shipman’s report on his work will be published in an upcoming issue of Physical Review Letters.