3D surface plot of the height function for a domino tiling of the Aztec diamond with 3-by-3 periodic edge weights. Nine adjustable weight parameters shape frozen and liquid regions, producing non-circular arctic curves. Set diamond order n up to 320, tune the weight grid, toggle demo rotation, and navigate the camera with arrow buttons or keyboard.
This simulation displays random domino tilings of an Aztec diamond using its three-dimensional height function. The visualization is inspired by Alexei and Matvey Borodin’s visualizations. Caution: large values of $n$ may take a while to sample. If $n\le 100$, it should be reasonably fast.
3×3 Periodic Weights
code
(note: parameters in the code might differ from the ones in simulation results below)-
Link to code(This simulation is interactive, written in JavaScript, see the source code of this page at the link) -
Link to code(C++ code for the simulation)