Number of clusters for Bernoulli site percolation on a honeycomb lattice
Submitted by Nils Berglund on
Bernoulli bond percolation on a honeycomb lattice, for different lattice sizes. Open clusters are shown in different colors.
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Bernoulli bond percolation on a honeycomb lattice
Submitted by Nils Berglund on
Bernoulli bond percolation on a honeycomb lattice, for different lattice sizes.
Site percolation on a lattice of triangles
Submitted by Nils Berglund on
Bernoulli site percolation, on lattices of triangles of different sizes
Bernoulli percolation on a honeycomb lattice
Submitted by Nils Berglund on
Bernoulli percolation on a honeycomb lattice, for different lattice sizes
Bernoulli bond percolation on a square lattice
Submitted by Nils Berglund on
Bernoulli bond percolation on a square lattice, for different lattice sizes.
Percolation
Submitted by Nils Berglund on
Bernoulli site percolation on a square lattice, for different lattice sizes.
Transition from 3-branched to 5-branched spirals in the Rock-Paper-Scissors-Lizard-Spock equation
Submitted by Nils Berglund on
Solution of a reaction-diffusion equation involving five chemicals, each of them dominating two others. There are two interaction parameters, which are equal at the beginning of the simulation. As one of them decreases to zero, spirals with 5 branches appear.
Rock-Paper-Scissors-Lizard-Spock reaction-diffusion equation
Submitted by Nils Berglund on
Solution of a reaction-diffusion equation involving five chemicals, each of them dominating two others.
Polyhedral Realizations of Flat Tori
Submitted by Florent Tallerie on
Polyhedral Realizations of Flat Tori
Reaction-diffusion equations
Submitted by Nils Berglund on
This gallery contains visualizations of solutions of reaction-diffusion equations. These are partial differential equations for a field over a region in space, involving a diffusion term, given by a Laplace operator, which tends to make the field more homogeneous, and a reaction term, which models a physical, chemical or biological process that typically makes the field inhomogenous.