This geometric arrangement creates a state of perfect balance in what Buckminster Fuller called Vector Equilibrium.
All dynamic energy events — light, sound, a person walking, wind — have a fluctuation of positive and negative values. Light and sound waves have their frequency and amplitude, a person walking oscillates between left and right feet, the wind is a result of high and low atmospheric pressure differences. Imagine as we make those differences smaller, we come to a point of perfect equilibrium wherein all energy fluctuations achieve a state of absolute balance and the dynamic activity gets canceled out altogether. In Buckminster Fuller’s synergetic geometry, the Vector Equilibrium (VE) is the model of such a state of absolute zero-phase equilibrium. Here’s why…
The VE is the only energetic form wherein all of the vectors that radiate from its center and all of the vectors surrounding its circumference are of the same length, therefore having the same force values.
This is unique from all other geometric structures, such as the Platonic Forms, which all have equal length circumferential vectors, but their central radial vectors are of longer or shorter length compared to them. As such, there’s a differential in the force values associated with those vectors.
While the outer shape of a VE is traditionally known as a cuboctahedron (having symmetries with both the cube and octahedron), it was its unique characteristic of equal length vectors that Fuller discovered in 1917 and named the Vector Equilibrium in 1940.
Images and text excerpts from Cosmometry – Exploring the HoloFractal Nature of the Cosmos, by Marshall Lefferts – www.cosmometry.com