Vertical-Horizontal Interlacing Explorer     domino-tilings

Leonid Petrov


Simulation Info

Vertical-Horizontal Interlacing Explorer     domino-tilings

Leonid Petrov

Interactive explorer for the RSK-style transition between partitions represented as particle configurations on a diagonal lattice. Set two partitions lambda-top and lambda-bottom, enumerate valid intermediate partitions mu, see forced vs free particles, and compute the output partition nu.

t =
Before: λtop/μ vertical strip, λbot/μ horizontal strip
μ = ∅
free forced particle forced hole
After: ν/λbot vertical strip, ν/λtop horizontal strip
ν = ∅
free forced particle forced hole

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 (opens in new tab)). 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