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Calibration of Flood Models

To predict floods using three dimensional solutions of the Navier‐Stokes equations is completely impractical because of computation time and the large numbers of parameters that would need to be specified for such a model. The models which are actually used to predict flooding are so simplified that the parameters do not necessarily match a physical value. Parameter values must be calibrated by assessing the ability of the model to predict past events for which we have data.

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Berlin Subways – Periodic Timetable Optimization

The Berlin Underground features nine lines that meet in 19 transfer stations. How to compute a periodic timetable that minimizes the total waiting time of all the passengers in this network, while respecting all safety matters? This is a highly complex task that has traditionally been handled manually by splitting it into subtasks.

Sliced IMAGINARY

The sliced IMAGINARY exhibit should be printed on two different colored thick cardboards. Cut out the pieces and don’t forget the slices. Plug the pieces into each other. Note that the different colors are orthogonal to each other.

Twelve Algebraic Sculptures

For the exhibition “IMAGINARY - through the eyes of mathematics” we printed twelve algebraic surfaces as 3d-sculptures using additive manufacturing techniques. Since the surfaces were only available in an implicit way (as the zero set of an algebraic equation), we first had to produce the necessary explicit 3d-data (triangle mesh). Please find here the resulting stl-data. We hope you find it useful to produce the sculptures with your (or any) 3d-printer. However, some modifications are likely to be necessary. They are mentioned and partially linked to in this text.

Double Pendulum

A double pendulum is a combination of two penduli that create a chaotic behaviour. This exhibit is a real physical double pendulum built and planned by a metal constructor with the idea to be safe for exhibitions and to be as fluid and surprising as possible in its movements.

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