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BrainSeepsOut (November 30, 1999 at 12:00 am)
This is just another cube connected to the first one.
httprover (November 30, 1999 at 12:00 am)
Yes, the superposition principle also applies in 4D and rotations still leaves relative distances unchanged.
httprover (November 30, 1999 at 12:00 am)
Merci beaucoup.
PhilippeMusique (November 30, 1999 at 12:00 am)
Actually I just tgought about it real hard. There is something with the vectors that says that with any line that are not colineair in a 2D graphic, you can make any other line. (these are basics triangles understanding) The same thing apply on the 3D. with any 3 line, you can actually get from 0,0,0 to any point. (you can always use -x on your original line) so the translation you use to create a new dimension is not actually a new dimension cause you just used the 3 other D to create it...
PhilippeMusique (November 30, 1999 at 12:00 am)
Im fucked up cause its 4D represented in 3D represented in 2D... But i get the principe with the rotation, damn its a mathematical 3d, this one is impossible in real world. nice vid tho
httprover (November 30, 1999 at 12:00 am)
In a mathematical sense one can comprehend a 4D object. It is our visual apparatus which is not up to the task. (Try to think outside the box.)
Torcika (November 30, 1999 at 12:00 am)
3D.you can't comprehend a 4 d object
tristbjorn (November 30, 1999 at 12:00 am)
Technically everything built is 4d. you just have to project them from their beginning to their end.
T1av1s (November 30, 1999 at 12:00 am)
time is the 4th demention
AttemptingReason (November 30, 1999 at 12:00 am)
it's a projection of a 4-d object onto the 2-d space of the video (3-d if you use cyan-magenta 3-d glasses) At any particular angle, it looks identical to some 3-d object, but when it is rotated along one of its 4-d axes, it becomes apparent that it does not behave like a 3-d object. Look at the relative positions of the corners. |