Mandelbulb Orbits and the Illusion of Life

Fractals are created through iterations, a mathematical process where numbers are repeatedly fed into a formula. In the case of the Mandelbulb, this formula determines whether a point escapes a specific boundary. Points that escape do so relatively quickly, while those that remain trapped take many more iterations. It's these high-iteration points, specifically those lingering near the edge of the Mandelbulb set, that create the illusion of life in the fractal.
Normally, these points wouldn't be visible in a typical rendering of the Mandelbulb, as they blend into the background. But by following their intricate path over numerous iterations, we can visualize their orbits. These orbits weave and loop, creating a mesmerizing dance that unfolds as the calculations progress. It's this dynamic movement, defying our expectation of static imagery, that breathes a sense of life into the fractal.

[@josha2794]

The third scene is cool. It looks like the orbits are shooting off into space.

[@niaschim]

Teach me about how to recreate this exact pattern brah, so I can mutate into phenomena at some point if you please. No offense