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.

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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)

Dear colleagues:

Feel free to use code (unless otherwise specified next to the corresponding link), data, and visualizations to illustrate your research in talks and papers, with attribution (CC BY-SA 4.0). Some images are available in very high resolution upon request. I can also produce other simulations upon request - email me at lenia.petrov@gmail.com