Buckminster Fuller gave this geometry the name vector equilibrium because uniquely among 3d forms the distance between its vertices and the center is the same as its edge lengths. Understanding as he did so well that the physical form represented a deeper energetic structure he realised that this form was the most balanced between expansion and contraction, the zero point from which nature creates everything. The equivalent 2d form is the hexagon, and you can find 4 interlocking hexagons in the V.E.
This form is one of the 13 Archimedean regular solids, but in many ways it is more primary than the 5 Platonic solids. It shows the inherent symmetries of space itself. It is the natural outflowing into form of the electromagnetic toroidal fields.
The best site on the web for in depth information about it is http://cosmometry.net/