Synergetic
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Synergetic
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 field. His two-volume work ''Synergetics: Explorations in the Geometry of Thinking'', in collaboration with E. J. Applewhite, distills of a lifetime of research into book form. Since systems are identifiable at every scale, Synergetics is necessarily interdisciplinary, embracing a broad range of scientific and philosophical topics, especially in the area of geometry, wherein the tetrahedron features as Fuller's model of the simplest system. Despite mainstream endorsements such as the prologue by Arthur Loeb, and positive dust cover blurbs by U Thant and Arthur C. Clarke, along with the posthumous naming of the carbon allotrope " buckminsterfullerene", Synergetics remains an off-beat subject, ignored for decades by most traditional curricula and academic d ...
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Buckminster Fuller
Richard Buckminster Fuller (; July 12, 1895 – July 1, 1983) was an American architect, systems theorist, writer, designer, inventor, philosopher, and futurist. He styled his name as R. Buckminster Fuller in his writings, publishing more than 30 books and coining or popularizing such terms as " Spaceship Earth", "Dymaxion" (e.g., Dymaxion house, Dymaxion car, Dymaxion map), " ephemeralization", " synergetics", and " tensegrity". Fuller developed numerous inventions, mainly architectural designs, and popularized the widely known geodesic dome; carbon molecules known as fullerenes were later named by scientists for their structural and mathematical resemblance to geodesic spheres. He also served as the second World President of Mensa International from 1974 to 1983. Fuller was awarded 28 United States patents and many honorary doctorates. In 1960, he was awarded the Frank P. Brown Medal from The Franklin Institute. He was elected an honorary member of Phi Beta Kappa ...
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Synergy
Synergy is an interaction or cooperation giving rise to a whole that is greater than the simple sum of its parts. The term ''synergy'' comes from the Attic Greek word συνεργία ' from ', , meaning "working together". History In Christian theology, synergism is the idea that salvation involves some form of cooperation between divine grace and human freedom. The words ''synergy'' and ''synergetic'' have been used in the field of physiology since at least the middle of the 19th century: SYN'ERGY, ''Synergi'a'', ''Synenergi'a'', (F.) ''Synergie''; from ''συν'', 'with', and ''εργον'', 'work'. A correlation or concourse of action between different organs in health; and, according to some, in disease. :—Dunglison, Roble''Medical Lexicon''Blanchard and Lea, 1853 In 1896, Henri Mazel applied the term "synergy" to social psychology by writing ''La synergie sociale'', in which he argued that Darwinian theory failed to account of "social synergy" or "social love", a co ...
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Tensegrity
Tensegrity, tensional integrity or floating compression is a structural principle based on a system of isolated components under compression inside a network of continuous tension, and arranged in such a way that the compressed members (usually bars or struts) do not touch each other while the prestressed tensioned members (usually cables or tendons) delineate the system spatially. The term was coined by Buckminster Fuller in the 1960s as a portmanteau of "tensional integrity". The other denomination of tensegrity, ''floating compression'', was used mainly by the constructivist artist Kenneth Snelson. Concept Tensegrity structures are based on the combination of a few simple design patterns: * members loaded in either pure compression or pure tension, which means that the structure will only fail if the cables yield or the rods buckle. This enables the material properties and cross-sectional geometry of each member to be optimized to the particular load it carries. * preload ...
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Space Frame
In architecture and structural engineering, a space frame or space structure ( 3D truss) is a rigid, lightweight, truss-like structure constructed from interlocking struts in a geometric pattern. Space frames can be used to span large areas with few interior supports. Like the truss, a space frame is strong because of the inherent rigidity of the triangle; flexing loads (bending moments) are transmitted as tension and compression loads along the length of each strut. History Alexander Graham Bell from 1898 to 1908 developed space frames based on tetrahedral geometry. Bell's interest was primarily in using them to make rigid frames for nautical and aeronautical engineering, with the tetrahedral truss being one of his inventions. Max Mengeringhausen developed the space grid system called MERO (acronym of ''MEngeringhausen ROhrbauweise'') in 1943 in Germany, thus initiating the use of space trusses in architecture. The commonly used method, still in use has individual tubular m ...
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Quadray Coordinates
Quadray coordinates, also known as caltrop, tetray or Chakovian coordinates, were developed by Darrel Jarmusch and others, as another take on simplicial coordinates, a coordinate system using a simplex or tetrahedron as its basis polyhedron.Urner, Kirby. "Teaching Object-Oriented Programming with Visual FoxPro." ''FoxPro Advisor'' (Advisor Media, March, 1999), page 48 ff. Geometric definition The four basis (but not necessarily unit) vectors stem from the center of a regular tetrahedron and go to its four corners. Their coordinate addresses are (1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 1, 0) and (0, 0, 0, 1) respectively. These may be positively scaled without rotation (e.g. negation) and linearly combined to span conventional ''XYZ'' space, with at least one of the four coordinates unneeded (set to zero). Pedagogical significance A typical application might set the edges of the basis tetrahedron as unit. The tetrahedron it ...
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Geodesic Dome
A geodesic dome is a hemispherical thin-shell structure (lattice-shell) based on a geodesic polyhedron. The triangular elements of the dome are structurally rigid and distribute the structural stress throughout the structure, making geodesic domes able to withstand very heavy loads for their size. History The first geodesic dome was designed after World War I by Walther Bauersfeld, chief engineer of the Carl Zeiss optical company, for a planetarium to house his planetarium projector. An initial, small dome was patented and constructed by the firm of Dykerhoff and Wydmann on the roof of the Zeiss plant in Jena, Germany. A larger dome, called "The Wonder of Jena", opened to the public in July 1926. Twenty years later, Buckminster Fuller coined the term "geodesic" from field experiments with artist Kenneth Snelson at Black Mountain College in 1948 and 1949. Although Fuller was not the original inventor, he is credited with the U.S. popularization of the idea for which he rece ...
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Dymaxion House
The Dymaxion House was developed by inventor and architect Buckminster Fuller to address several perceived shortcomings with existing homebuilding techniques. Fuller designed several versions of the house at different times — all of them factory manufactured kits, assembled on site, intended to be suitable for any site or environment and to use resources efficiently. A key design consideration was ease of shipment and assembly. As he did when naming many of his inventions, Fuller combined the words dynamic, maximum, and tension to arrive at the term ''Dymaxion''. History The Dymaxion House was completed in 1930 after two years of development, and redesigned in 1945. Buckminster Fuller wanted to mass-produce a bathroom and a house. His first "Dymaxion" design was based on the design of a grain bin. During World War II, the U.S. Army commissioned Fuller to send these housing units to the Persian Gulf. In 1945, science-fiction writer Robert A. Heinlein placed an order for ...
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Cloud Nine (tensegrity Sphere)
Cloud Nine is the name Buckminster Fuller gave to his proposed airborne habitats created from giant geodesic spheres, which might be made to levitate by slightly heating the air inside above the ambient temperature. Geodesic spheres (structures of triangular components arranged to make a sphere) become stronger as they become bigger, because of how they distribute stress over their surfaces. As a sphere gets bigger, the volume it encloses grows much faster than the mass of the enclosing structure itself. Fuller suggested that the mass of a mile-wide geodesic sphere would be negligible compared to the mass of the air trapped within it. He suggested that if the air inside such a sphere were heated even by one degree higher than the ambient temperature of its surroundings, the sphere could become airborne. He calculated that such a balloon could lift a considerable mass, and hence that 'mini-cities' or airborne towns of thousands of people could be built in this way. A Cloud Nine co ...
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