➡ Source repository:
github.com/AlgorithmicDynamics/kernel-interference-explorer
Some kernels produce interference-like wave fields.
Other kernels converge into rigid, fractal-like structures.
Between them is a continuous space of unstable, hybrid, liminal behavior.
This project is a direct descendant of Fractogenesis: CA vs Convolution
While Fractogenesis explores how fractal structures grow from minimal seeds using convolution and cellular automata, this repository focuses on what happens when convolution itself becomes the object of exploration.
The core mechanism is the same:
- start from a minimal seed (often a single
1) - apply a small local convolution kernel
- expand the field using padding
- repeat
What changes here is the emphasis.
Instead of asking “what pattern does this kernel produce?”, the question becomes:
How does global structure change as we move through convolution kernel space?
This repository is organized as a set of related but independent explorations.
Path: cnn
A 2D experiment with a symmetric 3×3 kernel on a periodic field.
This is the closest continuation of the 2D work in Fractogenesis, but with the emphasis shifted from fixed generators to systematic kernel exploration.
Live demos:
Path: 1d-with-sound
A one-dimensional reduction of the same idea.
The evolving field is discretized symbolically and mapped to musical notes. Sound is driven directly by the evolving state, not added afterward.
Live demos:
Path: 3d
A straightforward extension into three dimensions.
The 3D field is visualized via a single Z-slice. This version mainly exists to establish the 3D logic and serves as a baseline reference.
Live demos:
Path: 3d/torus-iso
The same 3D system, observed differently.
Instead of slicing the volume at a fixed position, this version lets you shift a fixed-size 3D window through the field. Because the field wraps around at the edges, shifting in X, Y, or Z never runs out of space and simply reveals another part of the same structure.
Three orthogonal faces of this window are shown together and combined into a small isometric sketch for easier spatial intuition.
Nothing changes in the dynamics — only the way results are inspected.
Live demos:
MIT License. See LICENSE for details.