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Topic: Synergetics like barycentric coordinates
Replies: 0

 Clifford J. Nelson Posts: 235 Registered: 12/6/04
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
four-dimensional 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