Unwrapping a tesseract (4d cube aka hypercube)
The 4d cube/tesseract rotation, perspective projection, unwrapping from 4d to 3d and wrapping back to 4d.
This is a projection of tesseract into 3D space. Here presented only vertices, edges and faces.So to imagine a 4D cube, we must also see a volumes. It is difficult because off it is not a 3D model in 3D space, it is a projection onto the flat 2D screen of your device.
All computations and visualization done with aid of self-made 4d library for PovRay (http://povray.org)
May be someday I make a 3D version of this animation...
There are many questions about the music, so here is a link
The Lotus Flower by Isisip
https://yandex.ru/search/?text=the%20lotus%20flower%20isisip&clid=1955453&banerid=6400000000%3AeyJpZHMiOlsiMjA3OTIxODUiXSwidWEiOiJNb3ppbGxhLzUuMCAoV2luZG93cyBOVCAxMC4wOyBXT1c2NCkgQXBwbGVXZWJLaXQvNTM3LjM2IChLSFRNTCwgbGlrZSBHZWNrbykgQ2hyb21lLzQ1LjAuMjQ1NC4xMDEgWWFCcm93c2VyLzE1LjEwLjI0NTQuMzg2NSBTYWZhcmkvNTM3LjM2IiwiaXAiOiI5NS4zMC4yMjAuMTgiLCJ1cmwiOiIvZGVza3RvcC8%2FZnJvbT1zdHJpcF9ZQl9fY3JlYXRpdmUxX3VwZCIsImhvc3QiOiJicm93c2VyLnlhbmRleC5ydSIsInl1aWQiOiIzNjQ1MjQxMTAxNDIyNzEwNzM2In0%3D&win=161&lr=62
Видео Unwrapping a tesseract (4d cube aka hypercube) канала Vladimir Panfilov
This is a projection of tesseract into 3D space. Here presented only vertices, edges and faces.So to imagine a 4D cube, we must also see a volumes. It is difficult because off it is not a 3D model in 3D space, it is a projection onto the flat 2D screen of your device.
All computations and visualization done with aid of self-made 4d library for PovRay (http://povray.org)
May be someday I make a 3D version of this animation...
There are many questions about the music, so here is a link
The Lotus Flower by Isisip
https://yandex.ru/search/?text=the%20lotus%20flower%20isisip&clid=1955453&banerid=6400000000%3AeyJpZHMiOlsiMjA3OTIxODUiXSwidWEiOiJNb3ppbGxhLzUuMCAoV2luZG93cyBOVCAxMC4wOyBXT1c2NCkgQXBwbGVXZWJLaXQvNTM3LjM2IChLSFRNTCwgbGlrZSBHZWNrbykgQ2hyb21lLzQ1LjAuMjQ1NC4xMDEgWWFCcm93c2VyLzE1LjEwLjI0NTQuMzg2NSBTYWZhcmkvNTM3LjM2IiwiaXAiOiI5NS4zMC4yMjAuMTgiLCJ1cmwiOiIvZGVza3RvcC8%2FZnJvbT1zdHJpcF9ZQl9fY3JlYXRpdmUxX3VwZCIsImhvc3QiOiJicm93c2VyLnlhbmRleC5ydSIsInl1aWQiOiIzNjQ1MjQxMTAxNDIyNzEwNzM2In0%3D&win=161&lr=62
Видео Unwrapping a tesseract (4d cube aka hypercube) канала Vladimir Panfilov
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