sacred geometry

Sacred Geometry

Flowers petal count matches the Fibonacci sequence: 3, 5, 8, 13, 21, 34 or 55. In the Fibonacci sequence (fn are given by the formula f1 = 1, f2 = 2, f3 = 3, f4 = 5 and generally f n+2 = fn+1 + fn) each number is obtained from the sum of the two preceding: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, etc.

When one observes the heads of sunflowers, one notices two series of curves, one winding in one direction and one in another; the number of spirals not being the same in each sense.

Why is the number of spirals in general either 21 and 34, either 34 and 55, either 55 and 89, or 89 and 144?

Why do they have either 8 spirals from one side and 13 from the other, or either 5 spirals from one side and 8 from the other?

Why is the number of diagonals of a pineapple also 8 in one direction and 13 in the other?

The answer to these questions is efficiency during the growth cycle of plants.

The ratio between successive Fibonacci numbers approximates an important constant called "the Golden Mean" or sometimes phi, which is approximately 1.61803. The higher you go in the Fibonacci sequence, the more closely the ratio between two successive numbers in the sequence approximates phi. (By the way phi2=phi + 1!). The Fibonacci sequence also shows up in Pascal's triangle, first used by the Chinese mathematician Chu Shih Chieh in providing coefficients for the binomial expansion in his 1303 treatise "The Precious Mirror of the Four Elements", if you add the diagonals!

Sacred Geometry involves using sacred universal patterns in everything we design.

Sacred Geometry as seen in sacred architecture, sacred art and Nature can be heard in sacred 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.

The Sacred Geometry of mathematical ratios, harmonics and proportion were first noted in nature, music, light and cosmology by the Ancients in poetry, stories, music and art work.

Those who see the Sacred Geometry of the Pattern of Reality attempt to express their worldview of pattern recognition with a complex system of metaphorical allegories by building conceptual structures initially involving light(good) and darkness(bad) to address all levels of human intelligence

Golden Ratio

Golden Ratio

The golden ratio, also known as the god ratio, golden proportion, golden mean, golden section, golden number, divine proportion or sectio divina, is an irrational number, approximately 1.618 033 988 749 894 848, that possesses many interesting properties.

Shapes proportioned according to the golden ratio have long been considered aesthetically pleasing in Western cultures, and the golden ratio is still used frequently in art and design, suggesting a natural balance between symmetry and asymmetry.

The ancient Pythagoreans, who defined numbers as expressions of ratios (and not as units as is common today), believed that reality is numerical and that the golden ratio expressed an underlying truth about existence. Plato said in the Republic (VII, 527 d, e) that it is through geometry that one purifies the eye of the soul, "since it is by it alone that we contemplate the truth." Although Plato, for instance, discusses their importance to both music and esoteric philosophy, he concentrates on the latter. Thus his discourses do not provide physical demonstrations of the ratios, for they were not meant as textbooks, but as spiritual philosophy.

"We must endeavour to persuade those who are prescribe to be the principal men of our State to go and learn arithmetic, not as amateurs, but they must carry on the study until they see the nature of numbers with the mind only; nor again, like merchants or retail-traders, with a view to buying or selling, but for the sake of the soul herself; and because this will be the easiest way for her to pass from becoming into truth and being." - Socrates (according to Plato)

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