Re: 4D Visualisierung

Op 14-9-2024 om 21:20 schreef Chris M. Thomasson:

On 9/14/2024 2:08 AM, guido wugi wrote:

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I don't see really the difference, sorry.

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There is a massive difference. Humm... The animation is rather fast. Try it in slow motion.

The thing is, it doesn't expose dim 4. It looks and feels like just an external parameter acting on the output.

And: where is the w component *in* the graph? If it isn't *in* the graph, it's just some external parameter upon a 3D-graph, isn't it?

>
Well, the vector field algorithm is working on 4d vectors. However, I don't know where to plot a vector like (0, 0, 0, 1) unless I define some other axis in 3d. This does not seem quite "kosher" to me. Anyway, I can only see what the non-zero w components do to a field that has all zero w's. The 4d definitely casts an influence on the 3d components (x, y, z).
>
Humm... I need to work on another animation that shows this off more, clearly...

It's precisely what my thread is about.
*Graphing 4 dimensions in 3D, spherical-symmetry-true.*
You might try it out with your app ;-)
Mainstream math apps ought to try it out. But they prefer going on happily ignoring 4D possibilities. Except for tesseracts, for some reason.
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guido wugi