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Synergetics like barycentric coordinates
Posted:
Jun 15, 2008 2:10 PM


John Horton Conway answered an email I sent him and he said he answered one hundred email messages a day and took thirty seconds to answer mine. Everyone I know is very busy, too busy to look at my web site. I posted something like it about ten tears ago.
http://mysite.verizon.net/cjnelson9/index.htm
There is a chasm between the sciences and the humanities. People who have been trained in the humanities might think Bucky Fuller's 4D is just a metaphor and they don't like Mathematica. Mathematicians don't like Bucky's writing.
If there is no communications jamming and you have the time to look at my web site and understand the simple Mathematica code you will say ah ha, that's it, that's the synergetic coordinate system, the coordinate system of nature that Bucky Fuller wrote about, where every fourdimensional point is a "regular tetrahedron sitting comfortably in the vector equilibrium".
The numbered lines in the triangular grid that shows the triangle (1,2,3) at:
http://mysite.verizon.net/cjnelson9/SyngergeticFiles/HTMLFiles/Synergetic sCoordinates3_11.gif
are really the intersections of three of the planes of a regular tetrahedron with the bottom fourth plane when the planes move one layer of closest packed spheres at a time. It took me ten years to find out that the numbers for the Synergetics coordinates of points on the plane can be the same as barycentric coordinates with a weight of one half at each vertex of an equilateral triangle.
Can anybody save me some time by telling me a little about coordinate systems like Synergetics coordinates in all or any number of dimensions?
Cliff Nelson
Dry your tears, there's more fun for your ears, "Forward Into The Past" 2 PM to 5 PM, Sundays, California time, http://www.geocities.com/forwardintothepast/ Don't be a square or a blockhead; see: http://library.wolfram.com/infocenter/search/?search_results=1;search_per son_id=607



