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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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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.
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
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