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my question: some days ago i came across imaginary numbers. You know what I mean - the imaginary number i^2=-1 and the imaginary numberline is not on the the same line as the other numbers. The imaginary numberline is alligned verticaly to the horizontal numberline and both lines have the common point 0. But I guess you already know this. To me this is interesting because this numberlines together form a 2-Dimensional "Field". The real numbers line is the x-axis and the imaginary number line is the y-axis. Now I wonder: Can there be a third axis, the z-axis, which woud make a 3.

-dimensional "field" out of this? Ok, I guess there may not be a mathematical need for such a third axis, at least I couldnt find one. But I think this way: The imaginary numbers together with imaginary axis were introduced because mathematicians wanted to have an solution for sqr(-1). Im not sure but as far as I know this mas made mainly to make math more complete. I dont think that people from beginning had a use for imaginary numbers BUT it made math more complete. So I think it may be the same with a third axis for another set of numbers. We may not have a use for this now but wouldnt it make math more complete?

What do you think about it? Maybe its complete nonsense but could you tell me why?

thanks.