Point sets and graphs under the action of crystallographic groups in various geometries have traditionally been studied within the framework of mathematical crystallography. Periodic boundary conditions for moving particles are a de facto standard in physical simulations. In materials science, deformations of crystalline materials that maintain symmetry and periodicity are investigated. In all these settings, new mathematical and algorithmic techniques are required for efficiently carrying out the calculations and the simulations.

One of the goals of this workshop is to bring to the attention of the larger computational geometry community a range of problems in periodic and symmetric settings, such as but not limited to the study of Delaunay tesselations and Voronoi diagrams, bar-and-joint frameworks, polyhedral surfaces, foams, and applications that have emerged in other fields.
Another goal is to bring in people from other disciplines who are potential users of algorithms and software developed to address these questions.

This workshop is particularly timely, since 2014 is the International Year of Crystallography