Talk:Mandelbrot set

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

Which Mandelbrot set viewer should be linked in the external links section?

Hey everyone! I'd like to replace the current Mandelbrot viewer link in the external links section with a faster and easier to use one. Please let me know if you have any objections, thanks. cc Jdbtwo 2607:FEA8:5DF:2900:68E9:98EC:1CA:EC71 (talk) 01:19, 19 July 2024 (UTC)

You might want to contact Template:Ping as he's the editor that added the original link (mandelbrot.silversky.dev) on the 25th of April 2022 Jdbtwo (talk) 14:43, 19 July 2024 (UTC)

Since it's been almost a week and nobody's objected, I think it would be safe to go ahead and replace the existing link in the external links section with yours. Jdbtwo (talk) 14:10, 25 July 2024 (UTC)

crappy cause not for the general reader

folks, I am really sorry but this is a really really shitty article cause it is not pitched for the general reader (ie me, a person whose math stops at 1st semester high school algebra)

honestly you all can really do better — Preceding unsigned comment added by 2601:197:D00:3CA0:ACD7:7FEF:C3E0:1607 (talk) 14:16, 21 July 2024 (UTC)

It is very difficult to make such complicated concepts accessible to the average individual. The Mandelbrot set is not for someone with 1st semester high school algebra as their maximum education in mathematics. I am not attempting to mock you when I say that. 71.221.194.121 (talk) 00:39, 23 July 2024 (UTC)

folks, i am really sorry but who the hell changed the mandelbrot set article like its some sort of vandalization??? 2A02:85F:E8D5:2C00:D188:EFA1:CC0C:A223 (talk) 12:47, 6 January 2025 (UTC)

Bold 197.211.59.74 (talk) 03:45, 8 February 2025 (UTC)

Sourcing

This article made a lot of claims without citing sources, which I have partly fixed. Many of the claims turned out to have been copied from sources, and I have marked those as "close paraphrasing". (If someone can fix the phrasing on those claims, that would be great – I probably won't.) There's still a lot of unsourced material, so I have kept the maintenance template at the top of the article, but removed the subsection templates since there are now at least a couple sources per section. Thiagovscoelho (talk) 01:28, 23 March 2025 (UTC)

Mandelbrot set of general ℝ-algebra?

We know the only composition algebras over $\mathbb{ℝ}$ are the real numbers, the complex numbers, the quaternions, or the octonions. But we can still define a Mandelbrot set for any finite dimensional $\mathbb{ℝ}$-algebra: to define boundness, we just choose any norm since all are equivalent. Has this definition (for example over the sedenions) been studied? Since now we no longer have $||z^2||=||z|{|}^2$ (but see also here), can we still conclude that the Mandelbrot set is bounded?

Of course, if we have $||z^2||\ge 2||z||$ for every $||z||>c_0$, then the Mandelbrot set is bounded by $c_0$: for $||c||>c_0$, if we have proved $||z_n||\ge (2^n-1)||c||(>c_0)$, we then have $||z_{n+1}||\ge ||z_n^2||-||c||\ge 2||z_n||-||c||\ge (2^{n+1}-1)||c||(>c_0)$. 129.104.244.74 (talk) 09:30, 26 May 2025 (UTC)

Ah yes, since the powers in a general Cayley–Dickson construction are similar to powers of complex numbers, the higher dimensional Mandelbrot set are all just rotations (with respect to each of the remaining $2^n-2$ axis) of the ordinary Mandelbrot set, just like in the case of quaternions. 2A04:CEC0:C02B:70C9:A574:E416:AF9B:6AA9 (talk) 12:10, 26 May 2025 (UTC)