# Sacred geometry

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Sacred geometry is the geometry used in the planning and construction of religious structures such as churches, temples, mosques, religious monuments, altars, tabernacles; as well as for sacred spaces such as temenoi, sacred groves, village greens and holy wells, and the creation of religious art. However, in sacred geometry, symbolic and sacred meanings are ascribed to certain geometric shapes, and certain geometric proportions. According to Paul Calter:[1]

## Contents

### As worldview

The belief that God created the universe according to a geometric plan has ancient origins. Plutarch attributed the belief to Plato, writing "Plato said God geometrizes continually" (Convivialium disputationum, liber 8,2). In modern times the mathematician Carl Friedrich Gauss adapted this quote, saying "God arithmetizes." [2]

### Music

Pythagoras found that an oscillating string stopped halfway along its length produces an octave relative to the string's fundamental, while a ratio of 2:3 produces a perfect fifth and 3:4 produces a perfect fourth. Pythagoreans believed that these harmonic ratios gave music powers of healing which could "harmonize" an out-of-balance body. This belief has been revived in modern times.

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