Sacred geometry can be described as attributing a religious or cultural value to the graphical representation of the mathematical relationships and the design of the man-made objects that symbolize or represent these mathematical relationships. The term is also used for geometry which is employed in the design of sacred architecture or art. The underlying belief is that geometry and mathematical ratios discoverable from geometry also underly music, cosmology and other observable features of the natural universe. This belief was held in ancient and medieval times and influenced the construction of temples and churches and the creation of religious art. A contemporary usage of the term describes New Age and occult theories that assert a mathematical order to the intrinsic nature of the Universe. Music The discovery of the relationship of geometry and mathematics to music is attributed to Pythagoras, who found that a string stopped halfway along its length produced an octave, while a ratio of 2/3 produced a fifth and 3/4 produced a fourth. Pythagorians believed that this gave music powers of healing, as it could "harmonize" the out-of-balance body, and this belief has been revived in modern times. Hans Jenny, a doctor who pioneered and named Cymatics (the study of geometric figures formed by wave interactions), is often cited in this context. However, he himself did not make healing claims for his work. Cosmology At least as late as Johannes Kepler (1571-1630), a belief in the geometric underpinnings of the cosmos persisted among scientists. Kepler explored the ratios of the planetary orbits, at first in two dimensions (having spotted that the ratio of the orbits of Jupiter and Saturn approximate to the in-circle and out-circle of a triangle). Natural Forms Many forms observed in nature can be related to geometry (for sound reasons of resource optimization). For example, the chambered nautilus grows at a constant rate and so forms a logarithmic spiral, and honeybees construct hexagonal cells to hold their honey. These and other correspondences are seen by believers in sacred geometry to be further proof of the cosmic significance of geometric forms. Art and Architecture The golden ratio and other geometric figures and geometrically-derivable ratios were often used in the design of Egyptian, ancient Indian, Greek and Roman architecture, and medieval European cathedrals incorporated a great deal of symbolic geometry. Examples of this use of sacred geometry can be found in: Contemporary Usage Modern New Age and occult movements use the term sacred geometry to refer to the religious and spiritual use of geometry and ratio. Common subjects include: the alleged religious underpinnings of crop circles and ancient architecture such as the Great Pyramid and Stonehenge metaphorical meaning of geometric concepts such as Platonic Solids and the Golden Ratio http://en.wikipedia.org/wiki/Sacred_geometry

http://www.geometrycode.com/sg/index.shtml