Developing Physarum Algorithm in Blender 3D

Overview

This work explores the development of an algorithm for visualizing the behavior of the slime mold *Physarum polycephalum* within the Blender software environment. This organism is of particular interest due to its ability to locate the shortest paths to food sources and construct efficient networks connecting various points. Scientists study it because its behavior offers valuable insights into the processes of self-organization found in nature. The objective of this project was to develop a computer model capable of simulating the growth and network formation process—specifically, a network resembling the structures created by actual *Physarum* organisms. To achieve this, Blender’s Geometry Nodes system was utilized. Geometry Nodes enable the creation of complex forms through algorithmic generation, thereby eliminating the need for manual modeling of every individual detail. During the course of this project, a system of virtual "agents" was created—essentially points that navigate according to a specific set of rules. These agents react to their immediate environment and leave behind a digital "trail." Over time, these accumulated trails coalesce to form a branching network structure. The project was developed in a phased manner. Initially, research was conducted into the organism's behavior; subsequently, a logical flowchart for the algorithm was designed. This was followed by a rigorous testing phase, during which the resulting structure was evaluated for visual realism and the software’s operational stability was verified. The outcome of this project is a procedural model capable of visually demonstrating the network growth process within a three-dimensional space. The resulting system holds potential applications in the creation of animations, digital art, and educational materials. Ultimately, this work demonstrates how computer technologies can be leveraged to replicate complex natural processes, transforming them into visually compelling and aesthetically pleasing models.

Competition history

• CSEF 2026 Mathematical Sciences (Junior Division) · Entry J-14-05

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