Mathematicians Predict Patterns In Fingerprints And Cacti

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.