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November 24, 2005
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A quick experiment in the 4-dimensional rotation of a hypercube.

A hypercube (or tesseract) is the 4-dimensional analogue of a cube. It has 16 corners, 36 edges, and 24 sides. All corners are right angles although they may seem like acute or obtuse angles when seem from a different viewpoint, just as the corners of a cube may seem sharper or wider depending on your viewpoint.

Rotation is achieved through a simple 4x4 transformation matrix which allows the hypercube to be rotated along a single plane at a time. In 3-dimensional rotation, rotation usually occurs around a linear axis but 4-dimensional rotation occurs around a planar axis.

You can check/uncheck the box to see the hypercube with solid sides or empty sides. Click on "Perspective" to select different methods of display.
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:iconahmedqatar:
Ahmedqatar Featured By Owner Mar 7, 2014  Hobbyist Artist
:confused:

It looks amazing .. what is it?
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:iconfirstfold:
Firstfold Featured By Owner Jul 16, 2011
[link]

You may enjoy this working simulation folded from paper rectangles - no glue
"Origami Tesseract"
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:iconsonic-mike:
Sonic-mike Featured By Owner Nov 8, 2008
You've forgot to tell that a 4-dimentionalcube is made of the 8 regular 3-dimentional cubes as well as the 3-dimential cube is made of the 6 regular squeres rolled in the 3D-space
By the way, I found a nice soft for this cube and other same figures: [link] you also can download a free version here
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:iconsonic-mike:
Sonic-mike Featured By Owner Nov 8, 2008
And you've forgot to tell that This cube exist thanks to 8 regular cubes of the 3-dimantional space like a simple cube is made of the six regular squeres!
by the way, I found a nice programm for the 4-dimentional space:[link] you can download a free version
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:iconsonofpeter:
SonOfPeter Featured By Owner Mar 5, 2008
eheh ... i love hypercube ^^

in its shape, I see (or believe to see) all geometrical shapes, like in a syntethis of everything :heart:

excellent animation :+fav:
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:iconsevenofeleven:
sevenofeleven Featured By Owner Jan 6, 2007
It looks really good on my 4d holographic monitor, oh wait wrong site!

Great job with this.
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:iconaquasnake:
aquasnake Featured By Owner Jan 21, 2006
That's trippy, but so brutally awesome
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:iconmonsi:
Monsi Featured By Owner Dec 16, 2005
That's a hard concept to grasp - rotating around a plane........ making my head spin. Nicely made though, I cant imagine trying to simulate 4 dimensions in Flash when I cant even simulate 3.
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:icongadgetsguru:
gadgetsguru Featured By Owner Nov 26, 2005  Professional Photographer
Hypercube! :drool:
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:icondovsherman:
DovSherman Featured By Owner Nov 26, 2005  Professional Digital Artist
I was thinking about that but I'm not sure how the interface would work. In a 3-dimensional object, there are only three axes of rotation. But with a 4-dimensional object, there are SIX planes of rotation. So you'd need to be able to move your mouse in more than 3-dimensions to click-and-drag rotation. I'd have to do something more crude than a single click-and-drag like six slider controls.
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