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Path: ...!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.math Subject: Re: 4D Visualisierung Date: Wed, 11 Sep 2024 13:40:25 -0700 Organization: A noiseless patient Spider Lines: 43 Message-ID: <vbsv7p$3pr1c$1@dont-email.me> References: <vantta$3j6c0$1@dont-email.me> <vbrjd1$3g9gq$1@dont-email.me> <vbrjjj$3g9gq$2@dont-email.me> <vbsu68$3pju5$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 11 Sep 2024 22:40:25 +0200 (CEST) Injection-Info: dont-email.me; posting-host="233a7ecb793af72ad112e5f4147874d3"; logging-data="3992620"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/yVzmqpsB2oP/fLV6/sc7rYMLRTIyeH+4=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:OewGtkk4DGj/YaIYGu7t/dejvvo= In-Reply-To: <vbsu68$3pju5$1@dont-email.me> Content-Language: en-US Bytes: 2560 On 9/11/2024 1:22 PM, guido wugi wrote: > Op 11-9-2024 om 10:15 schreef Chris M. Thomasson: >> On 9/11/2024 1:12 AM, Chris M. Thomasson wrote: >>> On 8/28/2024 12:30 PM, guido wugi wrote: >>> [...] >>> >>> Check this out: >>> >>> https://youtu.be/IVR5I5mnrsg >>> >>> ;^) >> >> Also, iirc, this experiment of mine has a vector with a non-zero 4d >> component... >> >> https://youtu.be/KRkKZj9s3wk > > I don't understand it, but they're beautiful graphics alright! But 4D? Thanks. Iirc, it had a single vector in the field that had a w component that was .0001 non-zero. Here are some other fields, can you get to them? The FB is infested with javascript... ;^o https://www.facebook.com/share/p/Urg2ehsEBLq91NNt/ https://www.facebook.com/share/p/cFeUgQdE723LpT5N/ Now, the only way I can actually "see" the affects of any non-zero 4d components (w) in (x, y, z, w) is how they alter the field lines. So, I plot a field A with all zero w components. Then I plot field B with non-zero w components. It's pretty interesting. My experimental n-ary field is basically a source sink vector field. > > Meanwhile I've put a Desmos4D graph of Clifford tori, Dupin cyclides > (also shown together!) and Hopf fibration. > bolnorm4D.CT-DC-HF | Desmos <https://www.desmos.com/3d/rwj9vo31yc?lang=nl> > https://www.youtube.com/watch?v=1y6qrsJff-g&list=PL5xDSSE1qfb6c7UHcURl6wXh0pH4ARB75&index=21 >