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Buckminster Fuller found that the cuboctahedron is the only polyhedron in which the distance between its center to the vertex is the same as the distance between its edges. In other words, it has the same length vectors in three-dimensional space, known as vector equilibrium . [ 8 ]
Synergetics is the empirical study of systems in transformation, with an emphasis on whole system behaviors unpredicted by the behavior of any components in isolation. R. Buckminster Fuller (1895–1983) named and pioneered the fi
Fuller, R. Buckminster (1975). "Vector Equilibrium". Everything I Know Sessions. Philadelphia. Kenner, Hugh (1976). Geodesic Math and How to Use It. University of California Press. ISBN 978-0520029248. Verheyen, H. F. (1989). "The complete set of Jitterbug transformers and the analysis of their motion". Computers and Mathematics with Applications.
Buckminster Fuller was a Unitarian, and, like his grandfather Arthur Buckminster Fuller (brother of Margaret Fuller), [41] [42] a Unitarian minister. Fuller was also an early environmental activist , aware of Earth's finite resources, and promoted a principle he termed " ephemeralization ", which, according to futurist and Fuller disciple ...
The March 1, 1943, edition of Life magazine included a photographic essay titled "Life Presents R. Buckminster Fuller's Dymaxion World", illustrating a projection onto a cuboctahedron, including several examples of possible arrangements of the square and triangular pieces, and a pull-out section of one-sided magazine pages with the map faces printed on them, intended to be cut out and glued to ...
In mathematical economics, the Arrow–Debreu model is a theoretical general equilibrium model. It posits that under certain economic assumptions ( convex preferences , perfect competition , and demand independence), there must be a set of prices such that aggregate supplies will equal aggregate demands for every commodity in the economy.
Extended Wulff constructions refers to a number of different ways to model the structure of nanoparticles as well as larger mineral crystals, and as such can be used to understand both the shape of certain gemstones or crystals with twins.as well as in other areas such as how nanoparticles play a role in the commercial production of chemicals using heterogeneous catalysts.
The internal state variables are the smallest possible subset of system variables that can represent the entire state of the system at any given time. [13] The minimum number of state variables required to represent a given system, , is usually equal to the order of the system's defining differential equation, but not necessarily.