Buddhabrot, a different view on the mandelbrot fractal

[curiousbignose]

I've been intrigued by the buddhabrot fractal for some time. It had been called buddhabrot because it shows several features of historic Gautama Buddha depictions: The tikka, a topknot, ringlet hair and a meditation pose. 

 

I've done a bit of qigong during lockdowns and have become even more intrigued by it. If you take a look at it, you will probably see why. 

 

https://en.wikipedia.org/wiki/Buddhabrot

 

High-res rendering: https://erleuchtet.org/2010/07/ridiculously-large-buddhabrot.html

 

The buddhabrot is the same as the well-known mandelbrot fractal, which sorts 2D starting coordinates c into escaping / not escaping a specific boundary on the complex plane (a 2D plane that has its own set of mathematical rules and is linked to various physical domains, e.g. quantum physics) during a long simple iteration. 

The classic mandelbrot only shows the points that stay inside the set. For the buddhabrot, instead of showing points that stay inside the set, we look at where all the points that escape the set into infinity fly around. Simply said, the brighter a pixel on the buddhabrot fractal is, the more escaping points flew around there on their way to infinity.

What are your thoughts about it? What do you see when you look at it?

 

[Michael Sternbach]

3 hours ago, curiousbignose said:

I've been intrigued by the buddhabrot fractal for some time. It had been called buddhabrot because it shows several features of historic Gautama Buddha depictions: The tikka, a topknot, ringlet hair and a meditation pose. 

 

So cool!

 

3 hours ago, curiousbignose said:

I've done a bit of qigong during lockdowns and have become even more intrigued by it. If you take a look at it, you will probably see why. 

 

https://en.wikipedia.org/wiki/Buddhabrot

 

High-res rendering: https://erleuchtet.org/2010/07/ridiculously-large-buddhabrot.html

 

The buddhabrot is the same as the well-known mandelbrot fractal, which sorts 2D starting coordinates c into escaping / not escaping a specific boundary on the complex plane (a 2D plane that has its own set of mathematical rules and is linked to various physical domains, e.g. quantum physics) during a long simple iteration. 

The classic mandelbrot only shows the points that stay inside the set. For the buddhabrot, instead of showing points that stay inside the set, we look at where all the points that escape the set into infinity fly around. Simply said, the brighter a pixel on the buddhabrot fractal is, the more escaping points flew around there on their way to infinity.

 

The conception of infinity seems to be key here.

 

3 hours ago, curiousbignose said:

What are your thoughts about it? What do you see when you look at it?

 

 

This: