This algorithm I've named Flow3.js is like a dance of mathematics and digital art. Imagine myself at the center of a virtual world, where the rules of art and science merge into a harmonious dance.

In the center of the stage stands the "Cellular Automaton," a digital entity with a life of its own. This entity is composed of a grid of cells, each with a state, 0 or 1, like two actors taking turns on the stage. Each turn, these actors follow a pre-defined script, the "rules," which change their state based on their past behavior. It's as if the stage itself is a fabric in constant transformation, woven by the very rules.

Beyond the main stage, there's a secondary dance in progress. Here, "particles" elegantly move through a flow field. This field is generated by the art of noise, where chaos and randomness create seemingly random beauty. The particles follow the flow, dancing through invisible currents, like leaves drifting in a mountain stream.

The particles themselves are like digital brushstrokes on the virtual canvas. Each particle has a position, a velocity, and a color. When a particle passes through a certain region, the color on the canvas changes, like a work of art evolving and transforming. It's a symphony of shapes and colors, guided by mathematics and randomness.

As the show progresses, the digital world comes to life, creating a unique visual and artistic experience. It's an ever-evolving work of art, a harmony between the precision of mathematical rules and the freedom of artistic expression. As spectators of this digital performance, we can only grasp a taste of this ephemeral beauty, a fleeting moment in this ethereal dance of data and forms.

I used p5.js and the algorithm I created Flow3.js (of which I report an example).
Canvas 4000x5000 (after several tests it was considered the best for the job).
Press P to save as png
press J to save as jpeg

Kisses
Kenzo