Equilibrium 3d vectors4/11/2023 ![]() In the squares of the table under each figure are to be found an indication The table lists at the top of the page most of the configurations (portion of original manual map, not amended in 2021) Map of "secondary" transformations of the vector equilibrium by manipulation of the jitterbug A complete mapping could most usefully be articulated by algorithmic manipulation of the structure in virtual reality. ![]() It is these additional forms which feature in other portions of the map above and in that below. However this model also allows related forms in 3D and 2D to be explored through its manipulation, most obviously by variously overlapping its triangular features. One physical model by which this dynamic can be observed through its manipulation is named "jitterbug". There are many accessible videos of this dynamic ( Buckminster Fuller's Jitterbug, YouTube, Buckminster Fuller Explains Vector Equilibrium, YouTube, 29 November 2014). That most of those structures should emerge via the hexagonal wheel Map of transformations of the vector equilibrium by manipulation of the jitterbugĬlarification (2021): The so-called jitterbug dynamic relates solely to the transformations between cuboctahedron, icosahedron and octahedron (in the upper left region of the image above). Portion is quite complicated and difficult to disentangle. The map is not complete even for the portion shown. The vector equilibrium position, a point is reached when the 6 squares areĬonverted into 12 possible triangles with the (imaginary) addition of sixĮxtra edges across the original diagonals Example: in compressing to opposite triangles from Whenever any of the processes brings vertices into triangulation distance, The figures emerge whenever a new pattern of triangulation occurs, namely With two hands holding opposite trianglesĪnd then lowering it, the whole structural TheĮquilibrium itself is never found exactlyĪlways closes her transformative cycles at Outward radial thrust of the vectors fromĮntially restraining chordal vectors. Omnidirectional closest packing of spheresīy bisecting the 12 edges and truncating the eight corners of the cube. (also named a "jitterbug") to various processes: folding, compressing, expanding, rotating, etcĪtions of a flexible jointed cuboctahedron.Įxplorations in the Geometry of Thinking MacMillan, 1975) Symmetric figures which can he derived by subjecting the vector equilbrium The pathways illustrated on the map are the main connections between predominantly ![]() Map of the relationships between the forms of the vector equilibrium Vector Equilibrium and its Transformation Pathways Comment Alternative view of segmented documents via Kairos
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