The Gamma-disordered Aztec Diamond     domino-tilings

Interactive simulation of the gamma-disordered Aztec diamond with edge weights drawn from Gamma distributions. Two independent tilings are overlaid to form the double dimer model, creating loops colored by type. Adjust size n, alpha, and beta parameters; toggle double-dimer and weight matrix views.

This simulation visualizes the Gamma-disordered random domino tilings of the Aztec diamond (Duits and Van Peski, in preparation). We generate random weights ${a_{i,j}, b_{i,j}}$ on the Aztec diamond graph such that:

$a_{i,j} \sim \Gamma(\alpha, 1) \quad \text{and} \quad b_{i,j} \sim \Gamma(\beta, 1).$

Skip to simulation canvas

code

• Link to code (Interactive simulation source code)
• Link to code (C++ backend code)

Dear colleagues: