One of the COGENT topics concerns symmetric spaces and relations to arithmetic. We obtain an example of this when we let a discrete group of isometries act on hyperbolic 3-space for which we can study a fundamental domain. It turns out that for the building blocks of such a fundamental domain one can often find hidden symmetries, giving rise to aesthetically pleasing by-products like highly symmetric polytopes and variants thereof. In this lecture series we will discuss a little bit of the background story and illustrate it by way of a couple of those new kinds of polyhedra, in 3D-printed form. We briefly outline the underlying process of how they were generated and, most importantly, give you a few pointers and examples of how you can rather quickly design a 3D-printed object yourself--on the spot!--using the free software package "OpenSCAD" (similar to Python). We should find time to print some of your designs during the summer school: There is a Fab Lab onsite which we are planning to pay a visit a day later, hopefully allowing us to see it already in the process of realising some of your creations--ideally the latter should reflect some of the beautiful structures that you have encountered in your own studies.
De Mehmet Haluk Sengun
De Mehmet Haluk Sengun
De Aurel Page
De Alexander Hulpke
De Alexander Hulpke
De Alexander Hulpke
De Paul Gunnells
De Aurel Page
De Peter Patzt
De Peter Patzt
De Peter Patzt
De Jennifer Wilson
De Jennifer Wilson
De Jennifer Wilson
De Haowen Zhang
De Renaud Coulangeon
De Renaud Coulangeon
De Bill Allombert
De Lewis Combes
De Alexander Hulpke
De Alexander Hulpke
De Paul Gunnells
De Paul Gunnells
De Paul Gunnells
De Paul Gunnells
De Graham Ellis
De Graham Ellis
De Graham Ellis
De Graham Ellis
De Graham Ellis
De Philippe Elbaz-Vincent
De Philippe Elbaz-Vincent
De Philippe Elbaz-Vincent
De Bettina Eick
De Petru Constantinescu
De Angelica Babei
De Alexander, D. Rahm
De Benjamin Brück
De Calista Bernard
De Philippe Elbaz-Vincent
De Bettina Eick
De Bettina Eick
De Bettina Eick
De Bettina Eick
De Herbert Gangl
De Zachary Himes
