Sacred geometry
From Wikipedia, the free encyclopedia
Sacred geometry can be described as a belief system attributing a religious or cultural value to many of the fundamental forms of space and time. According to this belief system, the basic patterns of existence are perceived as sacred because in contemplating them one is contemplating the origin of all things. By studying the nature of these forms and their relationship to each other one may gain insight into the scientific, philosophical, psychological, aesthetic, and mystical laws of the universe.
The term sacred geometry 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 from ancient times through the Renaissance and influenced the construction of temples and churches and the creation of religious art.
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[edit] 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 3/2 produced a fifth interval and 4/3 produced a fourth. Pythagoreans 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[1]. Hans Jenny, a physician who pioneered the study of geometric figures formed by wave interactions and named that study cymatics, is often cited in this context. However, Dr. Jenny did not make healing claims for his work.
[edit] 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 an equilateral triangle). When this did not give him a neat enough outcome, he tried using the Platonic solids. In fact, planetary orbits can be related using two-dimensional geometric figures, but the figures do not occur in a particularly neat order[2]. Even in his own lifetime (with less accurate data than we now possess) he could also see that the fit of the Platonic solids was imperfect[3], a fact not always mentioned in current New Age discussions. But of course, other geometric configurations are possible.
The connection between geometry, cosmology, astrology, harmonics, and music is through the so-called musica universalis (Music of the Spheres) [4].
[edit] 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 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. Scientists, on the other hand, see such phenomena as the logical outcome of natural principles.
[edit] Art and architecture
The golden ratio, geometric ratios, and geometric figures were often used in the design of Egyptian, ancient Indian, Greek and Roman architecture. Medieval European cathedrals also incorporated symbolic geometry. Examples include:
- Labyrinth (an Eulerian path, as distinct from a maze)
- Mandala
- Parthenon
- Taijitu (Yin-Yang)
- Tree of Life
- Rose Window
- Celtic art such as the Book of Kells
- Yantra
[edit] Contemporary usage
A contemporary usage of the term sacred geometry describes New Age and occult assertions of a mathematical order to the intrinsic nature of the universe. Scientists see the same geometric and mathematical patterns arise directly from natural principles.
Some of the most prevalent traditional geometric forms ascribed to sacred geometry include the sine wave, the sphere, the vesica piscis, the 5 platonic solids, the torus (donut), the golden spiral, the tesseract (4-dimensional cube), and the merkaba (2 oppositely oriented and interpenetrating tetrahedrons).
Believers in sacred geometry also see religious and spiritual significance in crop circles and in ancient architecture, such as the Great Pyramid of Giza and Stonehenge.
Chris Korda, an infamous software engineer and leader of Church of Euthanasia, designed an open-source software named Whorld that visualizes and generates sacred geometry patterns.
The Flower of Life Research organization uses sacred geometry in meditation techniques based on the teachings of New Age author Drunvalo Melchizedek. These teachings focus primarily on the Flower of Life, the Merkabah, and Metatron's Cube as spiritual allegories. Flower of Life facilitator Simon Prone describes sacred geometry as "meditation for the logical side of our brain"[5].
The MERU Foundation focuses on geometric properties of the Hebrew alphabet and geometric metaphors in the Bible based on the writings of Stanley Tenen.
[edit] See also
- Ley lines
- Fractal
- Folk mathematics
- Proportion (architecture)
- Platonic solids
- Golden ratio
- Astrological aspects
- Pythagorean symbols
[edit] External links
- About Sacred Geometry by Mika Feinberg
- Dodecahedron by Jason Martineau
- Sacred Geometry Home Page by Bruce Rawles
- Sacred Geometry: The Architecture Of The Universe by Charles Gilchrist
- Sacred Geometry - What is it? by Catherine Yronwode
- Sacred Geometry of Islamic Mosques
- Geometry in Art & Architecture
- The Sacred Geometry of Crop Circles by Freddy Silva
- MAGIC POINT Sacred Geometry by Richard Donald
- Sacred geometry at the Open Directory Project (suggest site)
- Article - Sacred Geometry of Carbon Atom
[edit] Further reading
- Beginnings: Geomancy, Builders' Rites and Electional Astrology in the European Tradition by Nigel Pennick
- Sacred Geometry: Symbolism and Purpose in Religious Structures by Nigel Pennick
- The Ancient Science of Geomancy: Living in Harmony with the Earth by Nigel Pennick
- The Sacred Art of Geometry: Temples of the Phoenix by Nigel Pennick
- The Oracle of Geomancy by Nigel Pennick
- The Ancient Science of Geomancy: Man in Harmony with the Earth by Nigel Pennick
- George Bain. Celtic Art: The Methods of Construction. Dover, 1973. ISBN 0-486-22923-8.
- Robert Lawlor. Sacred Geometry: Philosophy and Practice (Art and Imagination). Thames & Hudson, 1989. ISBN 0-500-81030-3.
- John Michell. City of Revelation. Abacus, 1972. ISBN 0-349-12320-9.
- Michael S. Shneider. A Beginner's Guide to Constructing the Universe: Mathematical Archetypes of Nature, Art, and Science. Harper Paperbacks, 1995. ISBN 0-06-092671-6