Concept
The Buddhabrot is produced by randomly sampling points c in the complex plane and iterating the Mandelbrot equation z_{n+1} = z_n^2 + c. Whenever an orbit escapes the set, every point along that path is plotted to a histogram. Millions of such paths reveal a Buddha-like silhouette.
Generation Steps
- Pick a random complex number c in the region.
- Iterate until escape radius > 2 or a maximum iteration count is reached.
- If the point escapes, plot every historic z value onto the image.
- Repeat, accumulating counts; render pixels proportional to log(count).
In the Gallery
- Sampling happens continuously — the image sharpens over time.
- Pixels fade from blue (few visits) to magenta (many visits).
- Refresh the page to start a brand-new pilgrimage.