The 12 structural elements of nature are composed of structurally stable, 6 edged, 4 sided pyramids. The internodal lengths all being of proportions and progressions based on the three lengths; unity, Tau (((square root of 5) plus 1)/2), and square root of 2. These elements in turn can be combined to produce larger element shaped compounds with the progressive sizes being of the fibonacci series. These elements can then be used to form the Platonic Solids in progressive sizes in line with the fibonacci series.
The following gif shows an alternative octahedron conversion element versus the one shown above.
One finds the occurance of Tau in nature, such as in the reproduction progression of rabbits, the family tree of bees, sea shell shapes, branching plants, flower petal and seed-heads, and the leaf arrangement around stems. It is also found in the psychic of man as shown by its use in the Parthenon, the United Nations building and the artwork of Leonardo, Durer, and Mondian.