Talk:Mandelbrot set

bounds?

The pseudo code says:

while (x^2 + y^2 ≤ 2^2 AND iteration < max_iteration) do

while the python code says:

if abs(z) >= bound:

I think the first instance should be 'y^2 < 2^2' or the second one 'abs(z) > bound'. — Preceding unsigned comment added by ~2026-13321-88 (talk) 07:51, 1 March 2026 (UTC)

First appearance of Mandelbrot set?

The Mandelbrot set was used as a decorative motif for a kind of space portal in Episode 11 of Space 1999. The episode was broadcast in 1975: https://editorial01.shutterstock.com/wm-preview-1500/813719gk/4fbb5a0c/gtv-archive-shutterstock-editorial-813719gk.jpg

Improving the gallery quality

If possible, I'd like to call it "Art and the Mandelbrot Set"... After all, it says, "Some people enjoy finding interesting geometric shapes in the Mandelbrot set. Here are some examples of beautiful regions in the Mandelbrot set." Aokoroko (talk) 14:50, 3 February 2026 (UTC)

Any statement like "Some people enjoy finding interesting geometric shapes in the Mandelbrot set" would require a citation to a reliable source. And no region of the Mandelbrot set can be called "beautiful" in Wikipedia's voice. Stepwise Continuous Dysfunction (talk) 01:48, 4 February 2026 (UTC)

Need a link to a reliable source? This will do: https://commons.wikimedia.org/wiki/Commons:Quality_images/Subject/Non_photographic_media . Aokoroko (talk) 09:29, 4 February 2026 (UTC)

Wikimedia Commons, like Wikipedia itself, is user-generated content and not a reliable source in the sense needed here. Stepwise Continuous Dysfunction (talk) 22:20, 4 February 2026 (UTC)

Is this considered a reliable source?

I would appreciate your guidance on how to integrate these citations into the "Image rendering" section correctly. Aokoroko (talk) 07:37, 19 February 2026 (UTC)

A brief mention of improvements could be mentioned if supported by reliable sources. Anything like an implentation should not be given. Arguably the existing Python implementation should be removed. Sławomir Biały (talk) 08:41, 19 February 2026 (UTC)

https://commons.wikimedia.org/wiki/File:Mandelbrot_Set_Image_107.png A high-resolution, 100-megapixel fragment of the Mandelbrot set, rendered using Perturbation Theory. The high-precision reference trajectory is computed exactly once, enabling blazing-fast computation for billions of pixels using hardware-native double registers (with a 1e-308 hardware limit). Features True SSAA 8x8 anti-aliasing (64 independent samples per pixel) for perfect detail clarity. Originally rendered at 80,000 x 80,000 pixels and downscaled to 10,000 x 10,000. C++ source code is included. Ultimately, it is an infinite mathematical structure that has always existed. Rosetta Code: https://rosettacode.org/wiki/Mandelbrot_set#Perturbation_Theory The freely distributable C++ compiler. Please keep the implementation. It provides vital clarity for the computational aspect of the article, which is just as important as the pure theory. Removing it would make the article less accessible for people looking to understand how these formulas operate in practice. Aokoroko (talk) 14:08, 13 June 2026 (UTC)

There is a lot of citations needed

I had to add citations needed to places where there was none before so anyone who wants to volunteer on adding reference and make sure it's a good reference. Ryderpedia (talk) 10:40, 21 July 2026 (UTC)