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How to define fourth dimension or four dimensional frame?

Mathematics
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build upon the constructs of the lower diminsions and abstract that into the higher dimensions
each dimension adds an additional right angle to the origin to play on
Google it or Maybe wiki

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Other answers:

a three dimensional frame going through time. You could use the 3d and a separate time axis for everything
time is one of those iffy topics when discussing spacial qualities i think
You can visualize the fourth dimension as time, meaning that you'd expect the possibility of obtaining a different graph when viewed from the same point but at a different time.
From an abstract perspective of Computer Science. I view a fourth dimension as a series of 3 dimensional arrays. It depends on the context of the question.
since time exists in a 3d framework; it really doesnt add to the dimension .... which is why trying to use it as a dimension in itself is tricky
depends on the situation, and how you understand the 4th dimension since both the eye and the mind can't realize it's existence... :S
R(+++-) or R(---+)
http://upload.wikimedia.org/wikipedia/commons/5/55/8-cell-simple.gif
Hypercube.
Thanks to u all :)

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