Here are some pictures I produced of various random two-dimensional objects. In each case there is a small preview, and the full-resolution image itself is linked in case you would like to download it (some of the files can be quite large!). There is a discussion about some of the simulations themselves on this page, and if I get the motivation someday I might set up separate pages for each model.

“Terms of use:” You can use any one of the images on this page in any way you see fit; just let me know when you do so.

One last thing: If you need pictures with a higher definition (or pictures of something else that I did not put here but might have simulated already), just ask!


Dla.1000 A DLA cluster of size 2000

Dla.2000 A DLA cluster of size 4096

Dla.4000 A DLA cluster of size 8192

Ising 0.881 1000 An Ising configuration (beta=0.881374)

Ising 0.900 1000 An Ising configuration (beta=0.900000)

Lerw A loop-erased walk of size 2000

Lines Broken line process

Perco bond Bond-percolation cluster (p=0.500000)

Perco site Site-percolation cluster (p=0.580000)

Perco.grad Gradient percolation cluster

Piv A pivoting point of angle pi/2

Saw A self-avoiding walk of length 10000

Sle 1 1000 2085690 Schramm’s SLE Process (kappa=1.000000)

Sle 1 500 20856904 Schramm’s SLE Process (kappa=1.000000)

Sle 2 1000 2085690 Schramm’s SLE Process (kappa=2.000000)

Sle 2 500 20856904 Schramm’s SLE Process (kappa=2.000000)

Sle 3 1000 2085690 Schramm’s SLE Process (kappa=3.000000)

Sle 3 500 20856904 Schramm’s SLE Process (kappa=3.000000)

Sle 3.5 1000 2085690 Schramm’s SLE Process (kappa=3.500000)

Sle 4 1000 2085690 Schramm’s SLE Process (kappa=4.000000)

Sle 4 500 20856904 Schramm’s SLE Process (kappa=4.000000)

Sle 4.5 1000 2085690 Schramm’s SLE Process (kappa=4.500000)

Sle 5 1000 2085690 Schramm’s SLE Process (kappa=5.000000)

Sle 5 500 20856904 Schramm’s SLE Process (kappa=5.000000)

Sle 6 1000 2085690 Schramm’s SLE Process (kappa=6.000000)

Sle 6 2000 Schramm’s SLE Process (kappa=6.000000)

Sle 6 500 20856904 Schramm’s SLE Process (kappa=6.000000)

Sle 7 1000 2085690 Schramm’s SLE Process (kappa=7.000000)

Sle 7 500 20856904 Schramm’s SLE Process (kappa=7.000000)

Sle 8 1000 2085690 Schramm’s SLE Process (kappa=8.000000)

Sle 8 500 20856904 Schramm’s SLE Process (kappa=8.000000)