STRUCTURED vs IID — VISUAL COMPARISON

DOES IID PRODUCE A VISIBLE CLUSTER? — NOI QUICK DRAW ANALYSIS

Speed 3
Frame 1/60
STRUCTURED DRAW
Cluster-biased generation: Moore neighbors 2.5× more likely. Absent numbers with deficit get elevated probability. Mimics the confirmed balancing mechanism (B4, Z=104).
Core persistence
VS CLUSTER PERSISTENCE
PURE IID DRAW
Genuine IID: 20 numbers chosen uniformly at random from 80. No memory. No spatial preference. No balancing. Same classification machinery applied identically.
Core persistence
What to observe:   Structured: The cyan/blue anchor core (A/CO) persists across frames — the same region of the grid glows draw after draw. The cluster traverses the grid slowly, expanding through diagonal corners around UN blockades.  |  IID: The "cluster" dissolves and reforms randomly each draw. No region persists. The classification scheme finds A/CO/GN numbers everywhere — but they appear in different positions every draw. There is no traversal. There is no core.  |  Key metric: Core persistence (fraction of current draw that was also in previous draw). Structured: ~   IID: ~  — a difference.