Even bigger
Oct 20, 2026 · By Louis Boucherie · Writing assisted by AI
This page follows the adaptive cut post, which ends with a network of fifteen groups. Here is one with thirty: 1,606 nodes and 19,041 links, and about 102344 ways to cut its tree. The best single cut scores 0.22, and the best adaptive cut we found 0.37.
The figure needs a bigger screen. Open this page on a computer to run it.
Figure 1. The same figure as in the adaptive cut post, on the thirty-group network. Press play to watch the chain, or click a branch or a link in the matrix to cut or merge by hand. The network is built in the background, so it can take a moment to appear.
From the best single cut, the chain climbs slowly and steadily, a group at a time, and makes its last jump once the temperature drops. From one cluster, it can sit there for tens of thousands of steps before it finds a split worth keeping, and about half the time it never does.
paper · code · adaptive cut · balancedness