Shuffling algorithm for q-volume lozenge tilings of the hexagon     lozenge-tilings

Vadim Gorin (original code); Leonid Petrov (porting)


Simulation Info

Shuffling algorithm for q-volume lozenge tilings of the hexagon     lozenge-tilings

Vadim Gorin (original code); Leonid Petrov (porting)

About this simulation
This simulation demonstrates lozenge tilings using a WASM/JS port of a program by Vadim Gorin. The simulation generates lozenge tilings of a hexagon with sides $N$, $S$, and $T-S$ under the $q^{-volume}$ measure.

The sampler works entirely in your browser using WebAssembly.

Parameters
Animation Controls
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Styling Controls

Custom Color Palettes

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Current Configuration
N = 20 T = 30 S = 25 q = 1
Color Legend
Up Down Horizontal Border UVA
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Export Plane Partition

Matrix representation of the plane partition:

Keyboard Shortcuts
Keyboard shortcuts:
A: S → S+r
Z: S → S-r
S: S → S+r → S-r
X: S → S-r → S+r
C: Next color palette
Shift+C: Previous color palette
P: Permute colors (cycle through 6 permutations)
B: Change border style (thin/medium/thick/ultra thick)

code

(note: parameters in the code might differ from the ones in simulation results below)

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
This material is based upon work supported by the National Science Foundation under Grant DMS-2153869