HEXAGRAM WORLD

Natural substances form various shapes and structures by the act of gravity, nuclear force, electromagnetic force and universal unknown force. 

Triangle requires the minimal energy to exist in geometry. Because the amplitude of energy appears in some form and goes through diagonal lines of all polygons, by which the space can be divided into triangles naturally. Hexagram Pattern consisting of triangles which are overlapping each other is just a network of energy running through the space. 
A structure of the combination of two regular tetrahedrons and
Hexagram Pattern
SYNERGETIC GEOMETRY/BUCK MINSTER FULLER Nature consists of a collection of the same sphere based on a regular tetrahedron. As a sphere after a sphere continues to emerge in all diection regularly, a series of basic geometric pattern are produced and they should represent eternity of the substance's structure in the universe. So thought, B, Fuller. His theory on mathematical geometry have succeeded in various area as physics, chemistry and so on. 
FRACTAL GEOMETRY/BENOIT MANDELBROY Fractal means irregulality in Latin and was used by Mandelbrot to analise natural phenomenon that has irregurality. The figure shows Koch curve drawn by Hexagram. Both the whole and part continue to repeat the same pattern where Hexagram branches endlessly. 

Cube is a sole polyhedron where the information of distance is equally located in three dimension, fore and back, right and left, up and down. This crystal structure could be a unit to measure, expand,split space, which has orthogonal axes. In human eye, space is sensed by this base unconciously. 

Crystals of snow change depending on weather condition but most structures of crystals are amazingly hexagonal and the shapes are based on regular hexagon. A solid object is measured on 60 degree axes plain as same as snow crystals instead of orthogonal axes. 