Dimensions

film

Dimensions

Licence

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Credits

For the full credits please open http://www.dimensions-math.org/Dim_merci_E.htm.

Authors

Jos Leys, Étienne Ghys, Aurélien Alvarez

Nine chapters, two hours of maths, that take you gradually up to the fourth dimension. Mathematical vertigo guaranteed!

For more information and to watch and download all chapters of the film please visit the website: http://dimensions-math.org

Files

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Transition from 3-branched to 5-branched spirals in the Rock-Paper-Scissors-Lizard-Spock equation on the sphere

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Spirals in the rock-paper-scissors equation on the sphere

Vorticity of spirals in the rock-paper-scissors equation on the sphere

Rock-paper-scissors reaction-diffusion equation on the sphere

Allen-Cahn equation on the sphere

Waves with cubic symmetry on the sphere, 2d projection

Waves with octahedral symmetry on the sphere, 2d projection

Waves with dodecahedral symmetry on the sphere, 2d projection

Waves with icosahedral symmetry on the sphere, 2d projection

Waves with cubic symmetry on a sphere

Waves in a Julia set on the Riemann sphere, 2d projection

Waves outside a disconnected Julia set on the Riemann sphere

Waves with octahedral symmetry on the sphere

A meteor impact in the North Atlantic

Waves in a Julia set on the Riemann sphere

Energy flux of waves with dodecahedral symmetry on the sphere

Visualization of 4-dimensional regular tilings

Waves with icosahedral symmetry on the sphere

Waves with dodecahedral symmetry on the sphere

Symmetry Animated

Rotating view of cluster growth in Bernoulli site percolation on a cubic lattice

Cluster size distribution in Bernoulli site percolation on a cubic lattice

Cluster growth for Bernoulli site percolation on a cubic lattice

Zooming out of percolation configurations on a lattice of triangles

Zooming out of percolation configurations on a honeycomb lattice

Cluster size distribution in Bernoulli site percolation on a Poisson disc process

Bernoulli site percolation on a Poisson disc process

Cluster size distribution in Bernoulli bond percolation on a square lattice

Cluster size distribution in Bernoulli site percolation on a lattice of triangles

Cluster size distribution in Bernoulli site percolation on a honeycomb lattice

Number of clusters for Bernoulli site percolation on a honeycomb lattice

Bernoulli bond percolation on a honeycomb lattice

Site percolation on a lattice of triangles

Bernoulli percolation on a honeycomb lattice

Bernoulli bond percolation on a square lattice

Transition from 3-branched to 5-branched spirals in the Rock-Paper-Scissors-Lizard-Spock equation

Rock-Paper-Scissors-Lizard-Spock reaction-diffusion equation

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