Drawing 4, 5, 6, and 7 dimensional objects

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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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