(This project webpage is under construction.)

The project aims to enable new materials discovery by advancing the theory and computation of geometric diagram structures describing polycrystals by fully exploiting, for the first time, the recent link to constrained clusterings. The official description can be found here.

The geometric diagrams that we consider in this project are so-called power diagrams and generalized balanced power diagrams (GBPDs). They are generalizations of Voronoi diagrams. If you want to get an idea how Voronoi diagrams look like, click on this app designed my student Klara Kurasinski. I also highly recommend the website Mathe und Fraktale (in German) from Friedrich Cordes (my former maths highschool teacher). Below you can play around with power diagrams (an Geogebra app designed by my student Gethin Brown).