Drawing 4, 5, 6, and 7 dimensional objects

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SUMMARY

Eugene created a YouTube video demonstrating how to draw 4, 5, 6, and 7 dimensional objects, utilizing Anime Studio Debut for the animations. The video addresses the challenges of occlusion in higher dimensions, explaining that apparent intersections are merely visual effects similar to those in 3D space. The video is professionally produced, featuring quality voice work and music, and is available at http://youtu.be/Q_B5GpsbSQw.

PREREQUISITES
  • Understanding of dimensionality in geometry
  • Familiarity with Anime Studio Debut for animation
  • Knowledge of occlusion effects in visual representation
  • Basic principles of 3D visualization techniques
NEXT STEPS
  • Explore advanced features of Anime Studio Debut for creating complex animations
  • Research techniques for visualizing higher-dimensional objects
  • Learn about occlusion handling in 3D and 4D graphics
  • Investigate the mathematical foundations of polytopes and their representations
USEFUL FOR

This discussion is beneficial for animators, mathematicians, and educators interested in advanced visualization techniques and the representation of higher-dimensional spaces.

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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