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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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Ahmedqatar Featured By Owner Mar 7, 2014

It looks amazing .. what is it?
Firstfold Featured By Owner Jul 16, 2011

You may enjoy this working simulation folded from paper rectangles - no glue
"Origami Tesseract"
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
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
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:
sevenofeleven Featured By Owner Jan 6, 2007
It looks really good on my 4d holographic monitor, oh wait wrong site!

Great job with this.
aquasnake Featured By Owner Jan 21, 2006
That's trippy, but so brutally awesome
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.
gadgetsguru Featured By Owner Nov 26, 2005  Professional Photographer
Hypercube! :drool:
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.
Crystasky98 Featured By Owner Nov 26, 2005
It made me dizzy. O.o Very good. Next, make one you can rotate by clicking and dragging.
e-tahn Featured By Owner Nov 24, 2005  Professional General Artist
sooo insane!!!
sorrowsdream Featured By Owner Nov 24, 2005  Hobbyist Digital Artist
Wow.... Just Wow...Nicely done.
roux Featured By Owner Nov 24, 2005
i love such stuff
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Submitted on
November 24, 2005
Image Size
5.3 KB


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