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Author Topic: Newtonian Triples  (Read 2356 times)
Description: Newton, De Moivre and Sir Roger Cotes honoured
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jehovajah
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« Reply #45 on: December 20, 2012, 10:34:46 AM »

The relation of this topic to vortex mathematics  or rather ring theoretical structure of the Z9 and Z18 and the Z2 + Z9 finite cyclic groups is the fascinating topic of study I am embarking on now.

Here Randy Powell gives some insight


<a href="http://www.youtube.com/v/uROabhExdwY&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/uROabhExdwY&rel=1&fs=1&hd=1</a>
« Last Edit: December 20, 2012, 10:41:04 AM by jehovajah » Logged

May a trochoid of ¥h¶h iteratively entrain your Logos Response transforming into iridescent fractals of orgasmic delight and joy, with kindness, peace and gratitude at all scales within your experience. I beg of you to enrich others as you have been enriched, in vorticose pulsations of extravagance!
jehovajah
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« Reply #46 on: November 13, 2014, 07:54:49 AM »

So I actually was working on these 2 years ago!

This link discusses the quaternions and the search for a triplex combination

http://www.songho.ca/math/quaternion/quaternion.html

The author sets out to demonstrate by contradiction that a triple form does not exist for the premise he starts with.

2 things: contradiction is not a proof of none existence! And the base elements  chosen are not the only possible basis.

When I tackled this issue it was from a different point of view. I was looking at group behaviours modulo (n), and specifically applying that to the rotation of the axes of a reference frame. I could see what I was doing, but I could not explain what I was doing!

I remember being very poorly at the time, recovering from a life threatening blood disorder. Working on this issue was a welcome distraction.

Applying the roots of unity in this way as a control for the axes interchange seemed an interesting thing to do, but I honestly had no clue what I was doing and moved from one inspirational flash to another.

Today I have the benefit of the mentorship of Hermann Grassmann and that has made a huge difference in terms of my ability to coherently understand what I was doing back then. It is making a huge difference going forward also.
« Last Edit: December 14, 2014, 10:15:01 AM by jehovajah » Logged

May a trochoid of ¥h¶h iteratively entrain your Logos Response transforming into iridescent fractals of orgasmic delight and joy, with kindness, peace and gratitude at all scales within your experience. I beg of you to enrich others as you have been enriched, in vorticose pulsations of extravagance!
Alef
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« Reply #47 on: November 15, 2014, 02:08:40 PM »

Have no idea whats there is going on, but nice anyway.

Quote
I remember bing very poorly at the time, recovering from a life threatening blood disorder. Working on this issue was a welcome distraction.
Fractals aren't so bad way to escape.
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