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Physics of the Mandelbrot set
I once built a Mandelbrot set out of flower pots and odds and ends. The cardioidal point was composed of a pumpkin vine growing southward.
I was not expecting a result, but one day, when the snow was a few centimeters thick with patches of snow melt, the snow was melted around my sculpture within an ellipse just as if it were calculated on the computer.
I am unsure what to conclude: fluke? Universal conservation of position? reception of radiation?
Question regarding "Histogram coloring"
This section is not written very well in terms of conveying the correct meaning to the reader. For example, the section does not state that an iteration count must be paired with each pixel to be plotted, which may significantly increase the memory footprint and slow down the code. Jdbtwo (talk) 15:41, 11 June 2019 (UTC)
"Histogram coloring" section
I've re-written parts of this section and added a reference. I don't think this section is OR, as the same algorithm is mentioned all over the web, but during my cursory search, I couldn't find an academic source -- just a forum post. Perhaps this can be improved in the future. Jdbtwo (talk) 18:21, 13 June 2019 (UTC)
- If someone could provide more reliable sources for the histogram coloring section, I'd be grateful. Jdbtwo (talk) 15:28, 1 July 2019 (UTC)
Mandelbrot zoom sequence color palette?
Does anyone know what color palette the Mandelbrot set zoom sequence uses? (starting with this file :
Connection to non-linear dynamics
The Mandelbrot set is often implicated as providing insight into non-linear dynamics, i.e., into the solution of non-linear PDEs. But I have not encountered a source yet that makes this connection explicit, i.e., that provides a particular system of PDEs for which the Mandelbrot set is precisely the domain of definition, or something like that. Does such a source exist? If so, I think it should be referenced somewhere in the article. Eleuther (talk) 22:44, 10 August 2019 (UTC)