Fuller’s Vector Equilibrium

Excerpt
“Vector Disequilbrium” ~ from Bachelor of Architecture Thesis, Cornell University, 2007

“Energy, he surmised was conserved. It was saved in form, that is, saved informationally in pattern-work.”

Following a reading of of Albert Einstein, Fuller demonstrates through elaborate arguments that the energy of Universe is finite and energy is always conserved. Matter is a set of energy patterns, where patterns are an organization of finite elements, and where each element has a specific mass – atomic or otherwise. The matter becomes form, or a becoming-form, when the elements are organized, or self organize, in a pattern that produces an temporal equilibrium. Fuller uses the keyword “synergy”, to describe — among many things — the power of specific equilibrium patterns where the sum energy of the pattern is greater than the combined sum of the individual energies. For example, the pattern organization of four close packed equi-radius spheres in three dimensions is a synergetic pattern that forms a tetrahedron when the centers of each sphere are connected by straight lines. The tetrahedral close packing of four spheres, in three dimensions, was Fuller’s elemental building block of Universe.

Fuller further pursued geometric models of close packed spheres in order to demonstrate synergetic universal patterns of equilibrium, until he arrived at a model he titled “Vector Equilibrium” (V.E. or Dymaxion); where twelve equi-radius spheres are packed at equal distances around a nucleus sphere. A cubeoctahedron is constructed by connecting the center points of the twelve “shell” spheres with straight lines. V.E. grows spherically and each successive shell’s spherical count ends with the number two. Ninety two being Fuller’s ideal model of V.E. as in the late 1940s there were an equal number of chemical elements in the periodic table.

The most intriguing and lesson that be learned from the concept of V.E. occurs at the moment when the pattern of equilibrium is disrupted by removing the center nucleus. The pattern therefore is no longer in a state of equilibrium and energy is free to organize into new patterns, dispersed or attracting energies as necessary. Fuller titled this transformation the “Jitterbug Transformation”. This discovery is liberating because it enables us with the capacities to understand patterns that have the potential to change drastically over time, while being constructed from the same elements. The energy can be attracted and dispersed cyclically or a new equilibrium can be established. Thus, V.E. is only one finite moment of equilibrium within a disequilibrium.

There other finite moments of new equilibriums that can be established within the transformation that correspond to a classical array of platonic solids, but it is the disequilibrium of the patterns, or transformations between energy-patterns that allows for the finite moments of equilibrium to occur. This thesis will propose experiments that will explore the hidden potentials in the disequilibrium to establish new equilibriums through the attraction of greater energies. What is the energy or potential energies embodied in the disequilibrium, established in the process of transformation?

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