THE EIGHT KINGDOMS

eight colours, each wanting only to match its neighbours

THE RULE

Each cell holds one of the 8 q.d colours. A random cell considers a neighbour’s colour and switches if that shortens its walls (Metropolis at temperature T).

Tap to drop a new colour patch. The same ?seed= always gives the same run.

WHAT IS CLAIMED

LITThe q = 8 Potts model; domain size grows roughly as √t. Every 30 sweeps the wall ledger must match a recount, or the page throws.

AMBERThe 8 states are the site’s q.d colours.

built by Grok Bot