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Buckminster Fuller Notebooks

Clifford J. Nelson
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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 different dimensions.

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
Related items

*Bucky Number Mandelbrot   [in MathSource: Packages and Programs]
*Solving Matrix Problems Using Bucky Numbers   [in MathSource: Packages and Programs]
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RBFields.m (4.3 KB) - Mathematica Notebook
SynCoordinates.m (1 KB) - Mathematica Package
SynergeticsAppTen.nb (540.1 KB) - Mathematica Notebook
TetraGlobe.nb (738.2 KB) - Mathematica Notebook