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Thanks for your addition on 3D plotting to the Mandelbrot Set article

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Thanks for the addition and the excellent images :)

Note that you could also mention that bump-mapping and dynamic lighting can be incorporated into the plot based on various properties of the Mandelbrot set at specific points. Jdbtwo (talk) 17:45, 20 January 2020 (UTC)Reply

Mandelbrot set

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Hello Duncan. I answered your message over at Talk:Mandelbrot set#Border tracing / edge checking. And you were of course right, so I fixed the article. --David Göthberg (talk) 15:25, 2 February 2020 (UTC)Reply

I saw your edits to the section on border tracing that described using rectangles. Well done.
Just like you developed border tracing on your own while others were doing the same thing, I developed histogram-based coloring on MY own, and then found articles describing it after I had already gotten it working. Convergent evolution I guess.
--DuncanMacC
Oh, thanks. And nice on you too. I have to admit I don't fully understand the histogram method yet. I really should read up on it since it seems to give better colouring of the pictures.
And yes, it seems to me that usually when something is solved/invented it is about two to four people or teams in the world that invent the same thing in the same year. The reasons seem to be several: All the prerequisite technologies are there and often many people have already realised and openly discussed that "this should now be possible to solve". Just that most people are afraid to spend time on researching something new, so only some people try it. Also, they don't get budget for it, and they are afraid to fail and find that shameful (silly, I know!) and failing also makes it harder to get budget for the next project (both in the industry and in the universities). Thus most research groups instead tinker with smaller simpler step-by-step improvements that they are sure they will succeed with.
But once one or two groups have published that they have solved something (but without telling how they did it) then many more dare to try and also get budget for it much easier. So then many groups solve it again, soon after.
This is true even in such a "hot" area as computer communications, which is my area of research.
--David Göthberg (talk) 08:35, 5 February 2020 (UTC)Reply
David, what happened to the sections of the article on border tracing and on multithreading? Those whole sections are suddenly gone.
--DuncanMacC
Those sections were moved into its own article: Plotting algorithms for the Mandelbrot set. Some people thought the main article became to cluttered.
--David Göthberg (talk) 03:18, 12 March 2023 (UTC)Reply