Online Geometry

Sacred Geometry: 'Five Deity Mandala', Golden Rectangle

Successive Golden Rectangles dividing a Golden Rectangle into squares (Five Deity Mandala).


Sacred Geometry: Mandala

is a concentric diagram having spiritual and ritual significance in both Buddhism and Hinduism. The term is of Hindu origin and appears in the Rig Veda as the name of the sections of the work, but is also used in other Indian religions, particularly Buddhism. In the Tibetan branch of Vajrayana Buddhism, mandalas have been developed into sand painting. They are also a key part of anuttarayoga tantra meditation practices.

The psychoanalyst Carl Jung saw the andala as "a representation of the unconscious self," and believed his paintings of mandalas enabled him to identify emotional disorders and work towards wholeness in personality.

In common use, mandala has become a generic term for any plan, chart or geometric pattern that represents the cosmos metaphysically or symbolically, a microcosm of the Universe from the human perspective.

Source: Wikipedia, Mandala.

A golden rectangle
is a rectangle whose side lengths are in the golden ratio, one-to-phi, that is, approximately 1:1.618. A distinctive feature of this shape is that when a square section is removed, the remainder is another golden rectangle, that is, with the same proportions as the first. Square removal can be repeated infinitely, which leads to an approximation of the golden or Fibonacci spiral.

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Sacred Geometry: Mandala


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Last updated: July 7, 2008