For centuries the complex plane is in use where we identify the -axis with the real numbers and the -axis with the imaginary numbers.

The number is the imaginary unit and for centuries we know that

A few centuries people have been looking to some extension of to and always they tried to have the complex plane included into the 3D real vector space. It turned out this was not possible as highlighted by a theorem known as the 2-4-8 theorem. But this theorem uses as an assumption that this extension to 3 dimensions should be bases on some quadratic form just like you can view the complex plane as generated by .
Complex numbers are usually written as

At present day it is generally assumed 3D complex numbers are not possible.
Yet in the year 1990 I found them, you must not use quadratic stuff in but cubic stuff like trying to solve …
This approach gives rise to complex numbers of the form

where if
this is the complex multiplication and if
this is the circular multiplication in .

In this introductory post today we only look at the complex version of stuff.

Complex numbers can be added via adding the real parts and the two corresponding imaginary parts.
Example and gives the sum

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This obviously will not work, if a very simple formulae like X = x + yj + xj^2 already does ‘not parse’ this website will never run properly. So I need to rethink a little bit; it sounded so nice you can write Latex into your posts but this is more a bucket of shit since there are two different plugin’s that fail.
End of this temporary post.