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Physics / Math

Physarum networks

A slime-mould swarm grows an optimal transport network from local rules.

Physarum networks — Actual application image
Actual application image

What happens

Millions of slime-mould agents follow simple local rules: sense the trail ahead, turn toward it, deposit more trail. Out of this a living transport network condenses, thickens and reroutes itself. Drop food with the left button and watch the network rebuild to reach it.

Equations used in the module
Equations
sense at ±angle ahead, turn toward the strongest trail
move, deposit;  trail ← blur(trail) · (1 − decay)
networks emerge from hundreds of thousands of agents

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