Attention-like, non-local

Transformer
Dynamics.

Every pair of colors carries two probability fields f and g over the torus. A source at x pushes a target at y with strength f(x)·g(y) — magnitude, not direction, encodes the rule. Direction is a fixed random angle per pair.

Mode

Set parameter manually

Population

Particles1800

Color types6

Direction Matrix · θ (absolute)

Gaussian centres · L6

Field width · σ0.10

Row = source color, Column = target. Arrow = the fixed absolute push direction θ for that ordered pair. Strength is set by the Gaussian fields below — drag a cell to rotate θ.

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Physics

Force strength10.0

Friction half-life0.04s

Time step0.018

Render

Particle size2.6

Wrap edges (torus)

Motion trails

Glow rendering

Actions

Particle Life · an interactive study of emergent dynamics

Created by Mohammad Javad Latifi ↗

Transformer Dynamics

Layer 1 of 3

46 fps 1800 particles 6 types

Periodic torus · mean-field f·g coupling

Space play/pause · . step · [ ] force · ; ' global · - = Δt · F full · R reseed