About this simulation

This simulation demonstrates Coupling from the Past (CFTP) for perfect sampling of lozenge tilings of C2 regions — a family of simply-connected polygonal domains on the triangular lattice parametrized by five parameters (b, c, d, e, h).

Acknowledgements: I thank Vadim Gorin for introducing me to these regions and for helpful discussions.

Export & Legend

PNG PDF Quality: 85

T0 T1 T2

---

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))

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