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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.math Subject: Re: New way of dealing with complex numbers Date: Sat, 8 Mar 2025 12:57:32 -0800 Organization: A noiseless patient Spider Lines: 19 Message-ID: <vqiavs$ahuc$2@dont-email.me> References: <kRgli3QEdimCvJ9569p9c9pq7Kc@jntp> <vqemhv$2gck$1@news.muc.de> <h8RR2Nzw97n_q0rv1uxcQeGImmk@jntp> <vqfm6n$3ndao$2@dont-email.me> <pPxKmW5wI10Jy2mOG_Y_84dfZXg@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sat, 08 Mar 2025 21:57:33 +0100 (CET) Injection-Info: dont-email.me; posting-host="e72e54bf1123d47ca4084a40faedb0d1"; logging-data="346060"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+5+tixaMLBAtidxcP9NbZOEFweHV7My3k=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:6vScaqZ90u8drpxTL+V62t0oaHY= In-Reply-To: <pPxKmW5wI10Jy2mOG_Y_84dfZXg@jntp> Content-Language: en-US Bytes: 1841 On 3/8/2025 3:08 AM, Python wrote: > Le 07/03/2025 à 21:50, "Chris M. Thomasson" 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... > > There is no way to compute Mandelbrot or Julia type of set on an > inconsistent "structure" as the one Richard proposes. > > By the way, there is a demo on Wolfram's site displaying what happens > with Complex numbers, duals and split-complex numbers : > > https://demonstrations.wolfram.com/ > IteratedMapsUsingComplexDualAndSplitComplexNumbers/ > > Thanks for the heads up! :^)