Drawing 4, 5, 6, and 7 dimensional objects

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Discussion Overview

The discussion revolves around the creation and representation of 4, 5, 6, and 7 dimensional objects, particularly in the context of a YouTube video showcasing these concepts. The scope includes artistic representation and the challenges associated with visualizing higher-dimensional spaces.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant shares a YouTube video demonstrating how to draw higher-dimensional objects, asserting that it is indeed possible to represent them.
  • Another participant praises the video and inquires about the software used for the animations, suggesting a professional quality to the presentation.
  • The video creator clarifies that the project was not for school but a personal endeavor, and mentions using Anime Studio Debut for the animations.
  • A participant raises a concern about occlusion in 4D and higher dimensions, explaining that without transparency, complex objects can appear to intersect in misleading ways, which can be confusing.
  • This participant draws a parallel between the perception of overlapping objects in 3D and how similar visual phenomena occur in 4D, emphasizing that the apparent intersection is not real.

Areas of Agreement / Disagreement

Participants express appreciation for the video and share insights about the challenges of visualizing higher dimensions, but there is no explicit consensus on the methods or interpretations of the visualizations discussed.

Contextual Notes

The discussion touches on the limitations of visual representation in higher dimensions, particularly regarding occlusion and the perception of intersection, but does not resolve these complexities.

Who May Find This Useful

Individuals interested in higher-dimensional geometry, artistic representations of complex mathematical concepts, and those exploring the challenges of visualizing dimensions beyond three.

Eugene381
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Hello everyone.

I just created a YouTube video on how to draw 4, 5, 6, and 7 dimensional objects. Yes, contrary to popular opinion, this is possible.

The four minute video is available at
http://youtu.be/Q_B5GpsbSQw

Please let me know what you think. I hope you like it.

Thanks.

-Eugene
 
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This was awesome! Nice presentation.

What software did you use to generate the images?

Was this a project for school?

It seems very professionally done with nice voice work and backing music.

Thanks for sharing!
 
Thanks, I am glad you liked it.

No, this was not a project for school. Just something I did in my free time.

I created the animations using Anime Studio Debut.
 
A problem with 4d (or more) is occlusion. If you don't use transparency and you make more complex objects than polytopes then you often see one part of the object appearing to poke through another part, as though there is intersection.
This confused me for a while until I realized that this is just the 4d equivalent of how a closer object appears to overlap a further object in 3d when viewed from the right angle in 2d. It isn't real intersection.
 

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