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Is the core of the Earth solid or liquid?

Submitted by Michel Darche on

Using the anomalies in the propagation of seismic waves detected by analysing seismic data recorded by seismographs around the world, the Danish mathematician Inge Lehmann showed in 1936 that the liquid core of the Earth contains a solid inner core of radius 1,200km. Despite a temperature above 5000° C, the inner core becomes solid because of the pressure, which is more than 3.5 millions stronger at a depth of 5000 km than on the surface.

The melting of glaciers

Submitted by Michel Darche on

Global warming causes the expansion of oceans and the melting of glaciers.

Simulation software like ”Flood map”, based on elevation data coming from satellite radars allows to compute the potential consequences of the rising of the sea level on coastal regions and populations, including large cities like Rio de Janeiro, New York, Tokyo, Shanghai, etc.

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 Metroları – Periyodik Çizelge Optimizasyonu

Submitted by Rolf Möhring on

Berlin Metrosu, 19 istasyonda buluşan dokuz hatta sahiptir. Bu ağda tüm yolcuların toplam bekleme sürelerini en aza indiren ama güvenlik kurallarına da uyan, periyodik bir çizelge hesabı nasıl yapılır? Bu hayli zor problem, altproblemlere parçalayarak elle halledilegelmiştir.

Twelve Algebraic Sculptures

Submitted by IMAGINARY on

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

Submitted by IMAGINARY on

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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