Physarum

Math Chaos

Physarum Transport Networks

Physarum is a particle-based simulation that mimics the foraging behavior and transport network formation of the Physarum polycephalum slime mold. It demonstrates how complex, efficient networks can emerge from a collection of simple agents.

Emergent Complexity

The simulation relies on agents (particles) that follow a few basic rules:

Sensing: Each agent senses the “chemical” (trail) density in its immediate vicinity.
Rotation: Agents turn toward areas with higher trail concentration.
Movement: Agents move forward and deposit their own trail onto the environment.
Diffusion & Decay: The global trail map slowly diffuses and decays over time.

These simple interactions result in the formation of intricate, branching networks that resemble biological transport systems.

Key Features

Agent-Based Modeling

Thousands of independent agents interacting with a shared environment.

Generative Networks

Creates complex, organic-looking branching structures from minimal rules.

Go Implementation

High-performance simulation logic implemented in Go.

Visual Output

Generates high-contrast visualizations of the emergent transport networks.

Getting Started

Prerequisites

Go (Golang) installed on your system.

Running the Simulation

Execute the following command to start the simulation:

Navigate to the directory
Terminal window
```
cd Math_Chaos/Physarum
```
Run the main script
Terminal window
```
go run cmd/physarum/main.go
```

Architecture

pkg/: Contains the core simulation logic, including agent behavior and trail map processing.
cmd/: Entry point for the application.
images/: Sample outputs showing different network configurations and color palettes.