q-Racah weighted Glauber dynamics for lozenge tilings of a cutout region lozenge-tilings
Leonid Petrov
Animated lozenge tiling of a convex cutout region evolving under q-Racah weighted Glauber dynamics. The Markov chain uses q-Racah orthogonal polynomial weights to bias the tiling distribution. Sliders control grid size, cutout geometry, q and S weight parameters; 2D and 3D views available with palette selection.
Shape
Display Options
q-Racah Parameters
w(h) = qh + qS−h | q=1, S=0 gives uniform measure
Simulation
Statistics
Monte Carlo Steps
0
Accept Rate
0%
Total Volume
0
Frame Rate
0
Export
Quality:
85
Color Legend
Top Face
Right Face
Left Face
UVA
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 (compiled to WebAssembly))