Sacred geometry may be understood as a worldview of pattern recognition, a complex system of religious symbols and structures involving space, time and form. According to this belief the basic patterns of existence are perceived as sacred. By connecting with these, a believer contemplates the Mysterium Magnum, and the Great Design. By studying the nature of these patterns, forms and relationships and their connections, insight may be gained into the mysteries the laws and lore of the Universe.
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 its shell forms a logarithmic spiral to accommodate that growth without changing shape. Also, 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. But some scientists see such phenomena as the logical outcome of natural principles.
The golden ratio, geometric ratios, and geometric figures were often employed in the design of Egyptian, ancient Indian, Greek and Roman architecture. Medieval European cathedrals also incorporated symbolic geometry. Indian and Himalayan spiritual communities often constructed temples and fortifications on design plans of mandala and yantra. For examples of sacred geometry in art and architecture refer:
* Labyrinth (an Eulerian path, as distinct from a maze) | * Mandala | * Flower of Life | * Parthenon | * Taijitu (Yin-Yang) | * Tree of Life | * Rose Window | * Celtic art such as the Book of Kells | * Yantra | * Swastika | * Dharmacakra | * Vesica piscis |* Metatron's Cube