[permaculture] Buckminster Fuller Notebooks -- from Wolfram Library Archive
Lawrence F. London, Jr.
lfl at intrex.net
Fri Jul 6 22:39:28 EDT 2007
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Buckminster Fuller Notebooks
Clifford J. Nelson
Old MathSource #
B numbers are named after Bucky Fuller. They are based on the Synergetics coordinate system. They are multi-dimensional
fields over the rationals. The notebook BuckyNumbers.nb looks at the square roots of minus unity for B numbers of
R. Buckminster Fuller wrote the books, Synergetics, published in 1975, and Synergetics 2, published in 1979, where he
uses the term "Synergetics 60 degree coordinate system". Bucky wrote that he discovered the coordinate system of nature
in 1940, but his books don't give concrete examples of them. This is the topic of the notebook SynergeticsCoordinates.nb.
In the notebook TetraGlobe.nb the Synergetics coordinate system is used to normalize the globe to the surface of a
tetrahedron, and the earth is displayed with the package WorldPlot as an unfolded tetrahedron (a triangle).
The packages RBFields.m and SynCoordinates.m contain globally defined functions for use in evaluating the above notebooks.
* Mathematics > Geometry > Solid Geometry
* Social Science > Geography and Cartography
Field, Synergetics, Simplex, Buckminster, Bucky, Fuller, Coordinates, BuckyNumbers
* Bucky Number Mandelbrot [in MathSource: Packages and Programs]
* Solving Matrix Problems Using Bucky Numbers [in MathSource: Packages and Programs]
RBFields.m (4.3 KB) - Mathematica Notebook
SynCoordinates.m (1 KB) - Mathematica Package
SynergeticsApplication7.nb (2 MB) - Mathematica Notebook
TetraGlobe.nb (738.2 KB) - Mathematica Notebook
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