My Math Forum  

Go Back   My Math Forum > College Math Forum > Number Theory

Number Theory Number Theory Math Forum


Reply
 
LinkBack Thread Tools Display Modes
July 10th, 2016, 10:41 PM   #1
Newbie
 
Abisha100's Avatar
 
Joined: Jul 2016
From: Amsterdam

Posts: 3
Thanks: 0

Math Focus: Combinatorics
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
File Type: jpg hobgoblin2.jpg (100.2 KB, 1 views)
Abisha100 is offline  
 
July 10th, 2016, 11:56 PM   #2
Senior Member
 
Joined: Dec 2015
From: holland

Posts: 163
Thanks: 37

Math Focus: tetration
Welkom landgenoot!
manus is offline  
July 11th, 2016, 11:34 AM   #3
Math Team
 
Joined: Jan 2015
From: Alabama

Posts: 3,261
Thanks: 894

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".
Country Boy is offline  
July 11th, 2016, 12:14 PM   #4
Newbie
 
Abisha100's Avatar
 
Joined: Jul 2016
From: Amsterdam

Posts: 3
Thanks: 0

Math Focus: Combinatorics
'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
File Type: jpg lines.jpg (10.7 KB, 1 views)
Abisha100 is offline  
Reply

  My Math Forum > College Math Forum > Number Theory

Tags
axis, constructions, imaginary, numbers



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
What are imaginary numbers? Ganesh Ujwal Complex Analysis 20 February 4th, 2015 06:10 AM
What's the justification of the imaginary axis' structure? Tau Complex Analysis 6 February 13th, 2014 08:53 AM
find all imaginary numbers... finalight Complex Analysis 5 November 15th, 2011 02:00 AM
Imaginary numbers smash Algebra 3 January 4th, 2011 03:20 PM
Imaginary Numbers johnny Algebra 5 October 27th, 2007 07:30 AM





Copyright © 2018 My Math Forum. All rights reserved.