9. This represents the second order of differentiation, the second harmonic division. Each side has been bisected, and every resulting internal point connected. Symmetry yields symmetry. A smaller, fractal child has been generated from the parent. This is also known as recursion. This process can occur at any scale and size, and still retain the same inter-relationships and proportions. This shape also reveals many regular and semi-regular polyhedra at various views. It is among my favorite as a meditative device, like a Mandala. Additionally it contains 30 scalene triangles of varying scale, which symbolize the 30° of each of the 12 houses of the zodiac, as well as the idealized circular sequence of 30 days in each of the 12 months.

back | next