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real number line, complex plane, ...?

Name: Anonymous 2012-03-11 1:32

OK so like we put all the real numbers on a single line, and we put all the multiples of the imaginary unit on a single line, and we put those two lines perpendicular to each other and filled in the area with infinitely many lines that are sums of a real part and an imaginary part, forming the complex plane to represent all complex numbers, but I'd like to have that extended to a 3-space.  So did anyone extend complex numbers with another number line at right angles to the real and imaginary number lines so that we could make a 3-space of infinitely many planes?  Maybe stick in that bothersome "divided by zero" thing, I don't know.

Name: Anonymous 2012-03-11 1:48

A complex number is actually a 2D vector. It has two values. So what is the third value you're adding to make it a 3D vector?

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