Buddhabrot

The Buddhabrot Set is a re-visualization of the familiar Mandelbrot Set using a technique invented by Melinda Green. Instead of selecting points on the real-complex plane, initial points are selected at random from the image region. The point is iterated through the function, z = zˆ2 + c, where z has components in both the real and imaginary planes.

If the particle escapes (exits the viewing area with high speed), its path is reiterated, exposing its position onto the image surface with each step. In this fashion, areas of dense particle travel appear bright white. The result is an amazing universe of structure, spirituality, and mathematical intrigue.

When I originally wrote this program in 2004, it took my fastest computer six days to complete the final rendering. With some optimizations to the code and executing on my current fastest computer, it took 15 minutes.

Magnifying and exploring the heart of the Buddhabrot.

Each image represents multiple bailout values for the iteration limits so post-processed compositing is not required.

A new feature allows dynamic rendering and exposure limits for the traveling particles.

Download Source Code

Programmed in Processing
By Jared S Tarbell
In Albuquerque, New Mexico, USA
Around 8:08pm February 6, 2020

Originally published in 2004 at Complexification

1 Comments

  1. Tom Greenbaum Feb 08, 2020 - 04:08 PM

    I remember meeting you for the first time when you printed this at Bruce Shortz 10,000 Cranes Studio on his large format HP printer so many years ago. It was my good fortune to have met you. The Buddhabrot images you created still send a chill up my spine! Could it be Kundalini rising?

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