Fractal

Mandelbrot

Bottomless wonders spring from simple rules, which are repeated without end.

z ← z^2 + c

Being a language, mathematics may be used not only to inform but also, among other things, to seduce.

A fractal is a way of seeing infinity.

This thing has been hidden in mathematics, since our universe was created and no ine ever saw it until we humans invented computers – which means taking lightning and sticking it in a rock until it learns how to think

Something that was hidden there the whole time

Mandlebrot: How you do the small things is how you do everything.

Fractal Life

Tao: z → z² + c

(or) z_n+1 → z_n² + z₀

Yang: Tend towards infinity, based on proximity to set/Yin Yin: form orbit of aka within the Mandelbrot set

• The Art of Code - Dylan Beattie Math of Mandelbrot set explained in seven minutes (10:39 ~ 17:43)
• The Tao Te Ching read by VC
• https://complex-analysis.com/content/mandelbrot_set.html - includes applets: Mandelbrot iteration orbits (implemented in GeoGebra) and Mandelbrot set (p5.js). Source code: https://github.com/complex-analysis/complex-analysis.github.io

Meditation

• Art Therapy - A Mandelbrot Fractal Zoom by Maths Town

turn up audio, immerse yourself.
While watching. Notice what comes up
zooming at a constant rate. diving into infinity.
The Wellspring from which all the future perceptions arises.
Gazing at the endless fountainhead. Spacial dimensions: more than 2, not quite 3.
  (unlocked a superpower)
After 5-10 minutes, pause the video while continuing to look at the screen.
What do you notice? Curious zooming out, lobes moving. (The pixels are fixed)
Feel the optic flow. The calm.

• Explanation: The visual mechanics of zooming into a Mandelbrot set directly mirror the Focus of Expansion in optic flow by creating the illusion of self-motion, or vection. While watching a two-dimensional screen typically narrows peripheral vision and triggers a stress response, a high-expansion fractal zoom can engage movement detectors and simulate translational motion.

Code:

Applied Intelligence

• https://notes.v10zen.com/2026/04/09/fractal-nature-of-mastery
• Iteration: https://nx01.ns-x.net/ask-sage/iterate

More:

• https://medium.com/@lucafabbri84/fractal-vedanta-a-new-geometry-of-enlightenment-93d1bbdd9506
• https://mandelbrot.site/ - https://github.com/rosslh/mandelbrot.site
• https://fractals.marguz.net/2025/04/17/navigating-the-mandelbrot-set/
  • https://fractals.marguz.net/galleries/forged-ad-infinitum/
  • https://fractals.marguz.net/minimandelrealm/