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)