Written by Alassane Diagne and Ayşegül Peközsoy Möbius transformations are functions of the form \(T\colon \mathbb{C}\rightarrow\mathbb{C},\ T(z) = \frac{az+b}{cz+d}\) with \(a\), \(b\), \(c\), \(d\) complex numbers. We often associate the mapping \(T\) with the matrix \(T=\begin{pmatrix}a&b\\ c&d\end{pmatrix}\). If you look…
Written by Aaron Osburg Imagine you are planning your birthday party which will take place in Heidelberg Castle. You have a lot of friends, so you are not quite sure if the inner courtyard of the castle provides enough space…
Written by Helen Freytag and Ronya Ramrath. Inspired by Escher’s experimentation with hyperbolic art (and driven by the tempting availability of 3D printers in the clearly very well-funded experimental geometry lab), this project was concerned with extrapolating and printing the…
Written by Deniz Aydın and Simon Heidrich. It is easy to imagine how spherical triangles are “fatter” than Euclidean ones. Just like this, hyperbolic triangles look slimmer in comparison. Gromov used this property to generalize hyperbolic spaces. Imagine δ-neighborhoods of…
Written by Isabel Giray, Karina Kniel and Phil Neitzel. The goal of this project is to give an intuitive way of understanding the hyperbolic space. Inspired by the classic Ping-Pong game which is played in an Euclidean setting, the hyperbolic…
