This simulation demonstrates random domino tilings of an Aztec diamond, which is a diamond-shaped union of unit squares. The simulation uses a measure with $2\times 2$ periodic weights, as in the paper by Chhita and Johansson. The simulation uses the shuffling algorithm. The original python code was created by Sunil Chhita; this version is adapted for JS + WebAssembly. Visualization is done using D3.js.

The sampler works in your browser. Up to $n \sim 120$ it works in reasonable time, but for larger $n$ it may take a while. I set the upper bound at $n=300$ to avoid freezing your browser.

Update 2025-04-14: TikZ Code Generation

You can now get a TikZ code for the sampled Aztec diamond directly by clicking the button below. This feature supports dominoes with appropriate coloring.

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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)