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Submitted by Nils Berglund on
A solution of the wave equation in a domain on the Riemann sphere, which is given by an approximation of a Julia set with parameter 0.37468 + 0.21115 i. The initial state is given by two circular waves, with opposite longitudes and positive latitude, and opposite sign.
Submitted by Nils Berglund on
Solution of the wave equation on a sphere. Reflecting obstacles have been placed around the vertices of a regular dodecahedron. The initial state is a set of circular waves concentrated at the centers of the faces of the dodecahedron. The colors and radial coordinate represent the energy flux.
Submitted by Jean-François Bigot on
This video shows the use of Tak4D to illustrate tilings in a 4 dimensional space. Three regular tilings are made, the first with hypercubes, the second with hexadecachorons and the third with icositetrachorons.
Tak4D is a tool for viewing and manipulating objects in a 4-dimensional space. It allows to apprehend 4D objects through 4 3D views.
These views can be projections or sections.
To access the tool: https://www.raktres.net/tak4d/
Submitted by Nils Berglund on
Solution of the wave equation on a sphere. Reflecting obstacles have been placed around the vertices of a regular icosahedron. The initial state is a set of circular waves concentrated at the centers of the faces of the icosahedron.
Submitted by Nils Berglund on
Solution of the wave equation on a sphere. Reflecting obstacles have been placed around the vertices of a regular dodecahedron. The initial state is a set of circular waves concentrated at the centers of the faces of the dodecahedron.
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