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Path: ...!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: <5dK3FFsdZf8l39AFCHb0bffliXU@jntp> JNTP-Route: nemoweb.net JNTP-DataType: Article Subject: Re: New way of dealing with complex numbers References: <kRgli3QEdimCvJ9569p9c9pq7Kc@jntp> <vqemhv$2gck$1@news.muc.de> <h8RR2Nzw97n_q0rv1uxcQeGImmk@jntp> <vqfm6n$3ndao$2@dont-email.me> Newsgroups: sci.math JNTP-HashClient: O5QEWaX3_IxN3tmTkgS398DLDbk JNTP-ThreadID: c6gHfjF1zb3jexYtsO4J-uwTdUA JNTP-Uri: https://www.nemoweb.net/?DataID=5dK3FFsdZf8l39AFCHb0bffliXU@jntp User-Agent: Nemo/1.0 JNTP-OriginServer: nemoweb.net Date: Fri, 07 Mar 25 23:34:15 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/134.0.0.0 Safari/537.36 Injection-Info: nemoweb.net; posting-host="0622b338f00df6c7e122ad5f6ee90645acf995aa"; logging-data="2025-03-07T23:34:15Z/9234016"; posting-account="4@nemoweb.net"; mail-complaints-to="julien.arlandis@gmail.com" JNTP-ProtocolVersion: 0.21.1 JNTP-Server: PhpNemoServer/0.94.5 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit X-JNTP-JsonNewsGateway: 0.96 From: Richard Hachel <r.hachel@tiscali.fr> Bytes: 2353 Lines: 24 Le 07/03/2025 à 21:50, "Chris M. Thomasson" a écrit : > On 3/7/2025 4:04 AM, Richard Hachel wrote: >> Le 07/03/2025 à 12:50, Alan Mackenzie a écrit : > Okay. Well. Let's start small. Use your new way to implement the > Mandelbrot set and/or any Julia set. Plot the sucker! Then show us the > resulting plot... Thank you for your answer. You raise the problem of Benoit Mandelbrot's fractals. I could not answer that, because I do not know the subject at all. I just know that it is a mathematical representation that presents a similar structure at all scales. A bit like Russian dolls. I look on the internet, where it is written that these fractals start from complex numbers of the nature of Z = a + bi. It is obviously very interesting, but I do not see the difficulty with what I said about complex numbers. Have you yourself made a fractal using complex numbers? Can you give me the equation? It would be very surprising if with my principles, we did not arrive at anything at all. Best regards. R.H.