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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: 4D Visualisierung
Date: Fri, 13 Sep 2024 14:58:21 -0700
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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?
> 
> 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
> 

Here is an example of a 4d vector ping ponging through -1...1 wrt its w 
component:

https://www.facebook.com/share/v/PC17LfU94uUjW6DY

So, the single attractor is at point (0, 0, 0, w) for the animation. 
There is a major effect on the field. Here is another simulation that 
shows the attractor at a fixed (0, 0, 0, 0) for the entire duration:

https://www.facebook.com/share/v/DXKhRoGZmpB9fX5Y/