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Cluster growth for Bernoulli site percolation on a cubic lattice

Submitted by Nils Berglund on Mo, 09/19/2022 - 20:15

The connected component of one face for Bernoulli site percolation on a cubic lattice, for increasing parameter p and different lattice sizes.

Zooming out of percolation configurations on a lattice of triangles

Submitted by Nils Berglund on Mo, 09/05/2022 - 12:17

Backwards zooms for Bernoulli site percolation on a lattice of triangles

Zooming out of percolation configurations on a honeycomb lattice

Submitted by Nils Berglund on Mo, 08/29/2022 - 12:09

Backwards zooms for Bernoulli site percolation on a honeycomb lattice

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

Submitted by Nils Berglund on Fr, 08/26/2022 - 11:33

Bernoulli site percolation on a Poisson disc process, for different lattice sizes. Open clusters are colored according to their size.

Bernoulli site percolation on a Poisson disc process

Submitted by Nils Berglund on Di, 08/23/2022 - 14:16

Bernoulli site percolation on a Poisson disc process, for different lattice sizes.

Cluster size distribution in Bernoulli bond percolation on a square lattice

Submitted by Nils Berglund on Sa, 08/20/2022 - 14:57

Bernoulli bond percolation on a square lattice, for different lattice sizes. Open clusters are colored according to their size.

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

Submitted by Nils Berglund on Di, 08/16/2022 - 15:05

Bernoulli site percolation on a lattice of equilateral triangles (whose centers form a hexagonal lattice), for different lattice sizes. Open clusters are colored according to their size.

Cluster size distribution in Bernoulli site percolation on a honeycomb lattice

Submitted by Nils Berglund on Fr, 08/12/2022 - 12:20

Bernoulli site percolation on a honeycomb lattice, for different lattice sizes. Open clusters are colored according to their size.

Diplotori - flat polyhedral tori

Submitted by Samuel Lelièvre on Di, 08/09/2022 - 07:57

Diplotori are polyhedra “of genus one” (that is, “with one hole”, like a buoy or a donut) which are “flat” in the sense that the total angle at each vertex is exactly 360 degrees.

Number of clusters for Bernoulli site percolation on a honeycomb lattice

Submitted by Nils Berglund on Mo, 08/08/2022 - 23:45

Bernoulli bond percolation on a honeycomb lattice, for different lattice sizes. Open clusters are shown in different colors.

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