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programs

Programas

Los programas son módulos de software que se pueden usar en escuelas, exposiciones, museos o en su hogar. Funcionan sobre hardware estándar y proveen opciones especiales para instalaciones públicas, como modo «kiosco», interfaz para pantalla táctil, o soporte para dispositivos especiales de hardware. Estos programas son los elementos principales de la plataforma, visualmente atractivos y altamente interactivos, permitiéndole explorar y crear matemática desde su computadora.

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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 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.

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...

Explore the temperature trend

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.

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) 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.

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

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...

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.

Discover and learn about the Chinese Remainder Theorem using clocks.

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!

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 — playing with hyperbolic geometry

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?

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

A VR software to explore knots through portals

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

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 es una aplicación móvil interactiva que permite al usuario descubrir polígonos escondidos en museos o centros de ciencia, y usarlos para construir sólidos Platónicos y Arquimedianos.
Escanea polígonos con la cámara de tu teléfono, resuelve cuestiones matemáticas para...

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

Interactive simulation of power grid dynamics.

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 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!” 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...

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

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...

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...

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...

Interactive simulation of the phase separation of two immiscible fluids.

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, 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...

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 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.

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

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...

Todos los años hay varios terremotos en el planeta Tierra con una gran pérdida de vidas humanas. Durante un terremoto, la mayoría de nosotros experimenta las vibraciones en la superficie de la Tierra debidas a la propagación de las ondas sísmicas por la corteza. La pregunta principal que se...

Este módulo analiza la cartografía y la geometría de la esfera. Las propiedades geométricas de la esfera y del plano son esencialmente diferentes, y ningún mapa puede representar la Tierra de manera fiel y sin distorsión. Aquí se abordan algunas de estas propiedades, se comparan diferentes...

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

Este módulo interactivo ilustra, en un contexto histórico, las líneas de rumbo en la Tierra y las espirales que corresponden a una familia notable de sus proyecciones en el plano.

Predecir inundaciones usando las soluciones tridimensionales de las ecuaciones de Navier-Stokes no es nada práctico debido al tiempo de cálculo y el largo número de parámetros que deberían estar especificados para tal modelo. Los modelos que realmente se usan para predecir inundaciones son...

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

Con SURFER es posible experimentar la relación entre fórmula y forma, es decir, matemáticas y arte, de un modo interactivo. SURFER 2008 se basa en el programa Surf y ofrece una interfaz de usuario intuitiva para crear imágenes, varias capas de...

Con NameSurfer es posible experimentar la relación entre letras, palabras, fórmulas y formas, es decir, matemáticas y arte, de una forma interactiva. Se pueden introducir ecuaciones o palabras sencillas, como por ejemplo nuestro nombre. Generarán bellas imágenes, que son superficies...

3D_XPLORMATH es uno de los programas más completos para explorar las matemáticas. Innumerables objetos, animaciones y posibilidades invitan al usuario a experimentar ¡incluso utilizando gafas 3D!

jReality permite experimentar con objetos matemáticos dentro de la realidad virtual. Es posible subir a grandes objetos matemáticos, entrar en ellos y percibirlos como objetos «reales». Al igual que en un juego de ordenador, para acercarse a los objetos se utiliza un navegador espacial.

jsurf es una biblioteca basada en Java donde es posible visualizar superficies algebraicas.

Construye elementos geométricos de distintos tipos, como aplicaciones de Geometría no Euclidiana, Fractales, o Grupos de simetría. Además podrás explorar simulaciones físicas usando masa, carga eléctrica, y campos entre otros. Todos los experimentos pueden ser fácilmente creados y manipulados...