Re: 4D Visualisierung

Chris M. Thomasson submitted this idea :

On 8/28/2024 12:55 PM, guido wugi wrote:

Op 28-8-2024 om 21:49 schreef Chris M. Thomasson:

On 8/28/2024 12:38 PM, Chris M. Thomasson wrote:

On 8/28/2024 12:30 PM, guido wugi wrote:

Hallo,

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Actually, it's impossible to visualize a true tesseract in 3d space?
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A question I have is where do I plot a 4d point, say:
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(0, 0, 0, 1)
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in a 3d space? Humm...

 I've been doing that for a few decades by now ;o)
 

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You can't just create another axis in 3d space and say its 4d because this axis exists in 3d space. Now, with some of my n-ary field work I can add a 4d point (a non-zero 4d component of a vector) to the field and see how it effects it, but I cannot actually plot a 4d point. I can just see how the 4d field point mutates the results.
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The true 4d axis is not visible... ;^)

There is, in a way, a way to imagine it though. We can't really draw a cube on a piece of paper, but if a cube were backlit in a way which casts a shadow on the plane of paper - we must move it in time to ascertain its shape. Sometimes it looks square and sometimes a hexagon. Consider now your mental image of a cube, and imagine it being a cube in 4D, just a projected shadow the actual object, that you must see in motion to ascertain its shape.
That having been said, mathematically it doesn't matter that we can't get a clear mental 4D image.