­

programs

Programs

Programs are software modules that can be used at home, in schools, at exhibitions or in museums. They all work on standard hardware and have special settings and specifications for public installations, like kiosk mode, touch screen interface or support for novel hardware devices. The programs are the core element of this platform, visually attractive and highly interactive, enabling you to explore and to create mathematics.
Show programs from:
Data Sonification

Do you hear the climate crying? Data sonification makes changes happening on our planet audible. The numbers are not represented in tables or diagrams but in notes. Songs are created from them!

The Gulf Stream

The Gulf Stream is a current in the Atlantic Ocean that brings warmth from tropical waters to the coasts of northern Europe. As a result, temperatures are higher than in other regions similarly close to the Arctic.

Earth grid models

Even with the fastest supercomputers, we cannot fully model all climate processes in all regions of the world. Therefore, we divide the world into small grid cells and calculate the climate processes for these cells in parallel. The size of the cells is called the resolution of the grid. A...

Warming navigator

Explore the temperature trend

Box models

With a box model, we can predict the future by simulating the complex interactions between different processes. The results are often surprising, even though the connections between the processes are well-known and predictable.

Navier-Stokes equations

The movement of balls, cars, and rockets can be explained mathematically. Similarly, the Navier-Stokes equations can explain and predict the movement of fluids, like ocean water, atmosphere gases, an oil spill, smoke, or Currywurstsoße.

General Circulation Models (GCM)

General Circulation Models (GCM) are the most precise tool we have to assert that climate change is a reality. GCMs are detailed models of the whole Earth, divided into many small cells of just a few kilometers’ width.

Heuliad

Visualization of a family of sequences of points in a toric sub-lattice of the ring of Gaussian integers

Virtual Ray Tracer

Virtual Ray Tracer is a Unity application that visualizes ray tracing. The application shows a scene with a camera, lights and objects. Rays slowly shoot from the camera and interact with the lights and objects in the scene. Users can change the settings of the ray tracer and material properties...

Colorful Brownian Motion

With this web demo, you can play around with and learn something about Brownian Motion, a fundamental concept in the theory of stochastic processes and probabilistic physics.

The Chinese Remainder Clock

Discover and learn about the Chinese Remainder Theorem using clocks.

Surface Walker

A software to run around on the plane tesselated by the fundamental polygon of the torus or the Klein bottle. This is a alpha-version, feel free to improve it or use parts of the code to build your own!

Dirichlet Diagrams

A simple software to create “weighted Voronoi” or “Dirichlet” diagrams. Simple to use: Click to make a point, click again to start spread of colors, click again to stop spreading. Click on the “All” Button to start or stop all spreadings.

HyperRogue

HyperRogue — playing with hyperbolic geometry

Note Compass

Why is the music scale irregular? Why are there black and white keys in the piano, distributed in such a peculiar pattern? Why do we have a scale with tones and semitones? And more deeply, how notes are grouped into families, and what role do they play within such families?

The Harmonic Series #3 - 3D display

Sing into the microphone and move the synthesizer sliders to hear and see shifting chords.

KnotPortal

A VR software to explore knots through portals

Ariadne - Drawing Topology

Ariadne is a virtual learning environment about paths and homotopies designed for touch-capable devices.

Non-euclidean virtual reality

Virtual simulations of three-dimensional non-euclidean spaces, available at h3.hypernom.com and h2xe. hypernom.com

These are designed to work with the HTC Vive virtual reality system, on mobiles phones that have gyroscopes, and on...

Polygon App

Polygon is an interactive mobile app that allows users to discover polygons hidden in museums or science centers, and use them to construct Platonic and Archimedean solids. Scan polyhedra with your phone’s camera, answer mathematical questions to get powerups with additional shapes, and view the...

Rpolyhedra

Rpolyhedra is an R package with a polyhedra database and rendering capabilities with solid and net models

Powergrid Dynamics Simulation
Interactive simulation of power grid dynamics.
The mathematics of tides

Most people know something about what causes tides: if asked, almost everyone will say tides are caused by the moon. But if one delves a little deeper, it is easy to find many questions which arise naturally and are not so easy to answer. This interactive application tries to give an intuitive...

TsunamiLab

TsunamiLab is a web platfom that allows interactive simulation and visualization of tsunamis. It can be displayed as a normal website or as a hologram. Find more at tsunamilab.cl/hologram...

Fly faster? Fly shorter!

“Fly faster? Fly shorter!” is an educational math game (designed for one-player or two-players mode). Players fly a plane that cannot change speed, so they can win only by following the shortest route between the checkpoints they have to reach. But which is the shortest route on a map? Test your...

PyFWI - An interactive Software for the Simulation of Seismic Waves

The interactive software PyFWI demonstrates the propagation of seismic waves and the principles of seismic imaging.

Simulating the Melting of Ice Caps

Sea levels are rising for various reasons related to global warming. The glaciers of Antarctica and Greenland, known as ice caps or ice sheets, play a major role in sea level rise. Is it possible to predict future changes in these ice caps, and particularly the calving of icebergs into the ocean...

Dendritis

This module aims to educate young people (14-19) about the importance of trees, the significance of tree diseases worldwide, and their rates of infection. It introduces the concept of mathematical modelling, and attempts to demonstrate how an increasingly accurate mathematical model can be...

Interactive Traffic Simulation

Traffic and congestion phenomena belong to our everyday experience. In our simulation, you have the possibility to control traffic and create your own traffic jam. Find out how to trigger a traffic breakdown and how to resolve it. Observe how traffic jams can be seen as collective phenomena with...

Spacetime

Interactive simulation of the phase separation of two immiscible fluids.

Genaster

Genaster is a generalized asteroids game. The classic asteroids game glues the left screen edge with the right one and top edge with the bottom and therefore has a torus topology. This application considers other ways of gluing the screen edges.

GeCla

GeCla, short for Generator and Classifier, is a program for exploring the symmetries of of patterns/friezes or rosettes in the plane. GeCla allows you to generate a pattern, a frieze or a rosette with a previously chosen kind of symmetry starting from an asymmetric motif. It also allows the...

Random maps

The following 3d model is a simulation of a uniform random quadrangulation with 30 000 faces. You can think of it as follows. If you are given 30 000 rubber squares, you can stitch them together along their sides and obtain a surface homeomorphic to the sphere. In plain English, this means that...

Experimentarium Digitale

Experimentarium Digitale is a web site that makes available interactive numerical experiments of mathematical models in science and also a collection of augmented ebooks that bears the same name.

Samos tunnel

Description of Hero´s method that probably was used for Samos tunnel digging

Suzhi Kolangal/South Indian Traditional Art

In Tamilnadu, one would find a finest drawn and artistic drawing decorating every house at the front entrance.

These drawings are not just merely a decoration, but it has lot more significance to this practice.

During festival seasons and on any auspicious functions, the drawing...

Earthquakes and Structures

Every year several earthquakes occur on planet Earth with severe loss of human lives. During an earthquake most of us already experienced the vibrations at the Earth’s surface due to the propagation of the seismic waves along the crust. The main question we intend to answer with this project is...

The Sphere of the Earth

This exhibit explores the science of cartography and the geometry of the sphere. The geometric properties of the sphere and the plane are essentially different, and no map can faithfully represent the Earth without distortion. This module goes through some of these properties, comparing...

Patient Navigation Game

How can waiting times in the hospital be avoided to prevent criticism from patients?

Rhumb Lines and Spirals

This interactive module illustrates, in a historical context, the rhumb lines on the Earth and the spirals that correspond to a remarkable family of their projections in the plane.

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...

Surfer Shuffle

Surfer Shuffle is an algebraic surfaces random generator based on the jsurf project.

SURFER 2008

With SURFER you can experience the relation between formulas and forms, i. e. mathematics and art, in an interactive way. SURFER 2008 is based on the Surf program and offers an intuitive user interface to create...

NameSurfer

With NameSurfer you can experience the relation between letters, words, formulas and forms, i. e. mathematics and art, in an interactive way. You can enter simple equations or words as for example your name. They will produce beautiful images, which are...

3D-XplorMath

3D_XPLORMATH is one of the most comprehensive programs to explore mathematics. Countless objects, animations and possibilities invite the user to even experience them using 3D glasses!

jReality Exhibit

jReality allows you to experience mathematical objects in a virtual reality environment. Users can climb on huge mathematical objects, enter them and perceive them as “real” objects. Like in a computer game one approaches the different objects using a space navigator.

jsurf

jsurf is a Java based visualization library for algebraic surfaces.

Cinderella Applets

Important notice: Unfortunately the Cinderella applets no longer work “out of the box”. There are two alternative ways, though: