My Math Forum Axis of Imaginary Numbers: Constructions?

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July 10th, 2016, 09:41 PM   #1
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Axis of Imaginary Numbers: Constructions?

If I can make an axis across which imaginary numbers have some gradient of positive and negative values, I can hypothetically create an axis that is somehow altered (not unlike using different base systems other than the standard base-10 system).

The idea is to use imaginary numbers to create alternative Cartesian planes of values and thereby obtain workable curvilinear progressions of numbers.

So can I use a 'constructed axis' to create infinitely layered non-standard Cartesian planes?

Look at this silhouette doodle of the comic book character Hobgoblin (Marvel Comics), shown below in attached jpg file for purely visual purposes. How are outlines (or skeletal structures) representative of orientation?

Can't we reference network topology for such a construction? I'm citing general relevance obviously.

Parity (Physics)

A Trillion Triangles Found (aimath.org)
Attached Images
 hobgoblin2.jpg (100.2 KB, 1 views)

 July 10th, 2016, 10:56 PM #2 Senior Member   Joined: Dec 2015 From: holland Posts: 162 Thanks: 37 Math Focus: tetration Welkom landgenoot!
 July 11th, 2016, 10:34 AM #3 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 I really have no idea what you are asking. Of course, just as the real numbers can be identified with the "real line", the imaginary numbers can be identified with the "imaginary line". The complex numbers then, form the "complex plane" with the "real line" and "imaginary line" as distinct lines intersecting at "0". Normally, we have those two "coordinate lines" perpendicular since it makes the calculations simplest, but that is not necessary, we get the same properties for complex numbers for any (non-zero) angle. I don't see what this has to do with you "doodle", "network topology", "parity", or "a trillion triangles".
July 11th, 2016, 11:14 AM   #4
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'Imaginary Angles'

Well, here's another post on this board (link below), which is relevant to what I was asking and what you (CountryBoy) are asking.

I agree with your observations about the 0 intersection, but if there is a convergence, could there be a constructed maximum, for example (excuse my simply whimsical reference to skeletal illustrations; I should have used the curvilinear intersection graph illusion posted below in this reply)?

Angle of the Imaginary Plane
Attached Images
 lines.jpg (10.7 KB, 1 views)

 Tags axis, constructions, imaginary, numbers

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