Diagnostic Panel Wisdom-of-Crowds Simulator 3D

Diagnostic Panel

Panel size (N) 15

Individual accuracy (p) 62%

Doctor Independence

Individual accuracy

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Majority accuracy

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Condorcet prediction

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Cases decided

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Each doctor-node orbits the verdict core and flashes green (correct) or red (wrong) every ~0.7s as a new case resolves. The core's color and pulse track the panel's actual majority verdict.

How it works

The 2D companion plots this as a flat accuracy-vs-N curve. Here the same N doctors sit as instanced nodes in 3D space around a central verdict core. Every case, each node's color flips to reflect its individual vote, thin beams carry that vote inward, and the core aggregates all N votes by majority rule — its own color and pulse size are the panel's collective diagnosis.

P(majority correct) = Σ (k = ⌈N/2⌉ to N)  C(N,k) · p^k · (1-p)^(N-k)

as N → ∞,  P(majority correct) → 1     (for any fixed p > 0.5, independent voters)

Watch the core, not the individuals — no single doctor-node is reliably green. But as N grows and doctors stay independent, the core itself turns solidly green far more often than any one node does — that gap between individual and aggregate reliability is the Condorcet Jury Theorem.
Correlated mode — switch it on and many nodes flash the exact same color in the same case (they're copying one shared, case-wide draw instead of judging independently). The core stops improving with N, because copied errors reinforce each other instead of cancelling out.

Correct vote Incorrect vote Verdict core (majority)

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Diagnostic Panel Wisdom-of-Crowds Simulator (3D)