sacred geometry

Sacred Geometry Coloring Book

Spirals add mystery to how crystals form

Nassim Haramein Sacred Geometry And Unified Fields

1.618 Phi, The Golden Ratio, God Creator of Heaven and Earth

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 ≈ an important constant, Π.

The Golden Ratio or sometimes Π, which is ≈ 1.61803.

The higher you go in the Fibonacci sequence, the more closely the ratio between two successive numbers in the sequence approximates Π.

Π2 = Π1 + Π0

The Fibonacci sequence shows up in Pascal's triangle, first used by Chinese mathematician Chu Shih Chieh in providing coefficients for the binomial expansion in his 1303 treatise "Precious Mirror of the Four Elements".

Platonic Solids

Fibonacci Sequence

Essence of linear algebra preview

devine elements of sacred geometry

Sacred Geometry involves using sacred universal patterns of design.

Sacred Geometry is seen in sacred architecture and sacred art.

The Geometry of 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 in poetry, stories, music and art work.

Those who see the Sacred Geometry with 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.

spinal geometryGolden 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 aesthetically please Western cultures, and so 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 (not as units as is common now), believed reality could be expressed numerical and that the golden ratio expressed an underlying truth about existence.

"This at least," said Plato, "will not be disputed by those acquainted with geometry; science is in direct contradiction with the language employed."

"How so?" Socrates said.

"They speak as if they were doing something, as if the words were directed towards action. For all the talk of squaring and applying and adding and the like, whereas in fact the real object of the entire study is gnostic knowledge."

"That is absolutely true," he said. "Must we not agree on a further point?"

"That gnostic knowledge always is, always has been and always will be, not of a something which at some time comes into being and passes away."

"That is readily admitted," Socrates said. " 2 + 2 = 4."

"Then nothing is surer," said Plato, "we must also require the people shall never neglect geometry, for even the derivatives of such study are not slight."

"What are they?" said he.

"In all studies there is an immeasurable difference between the student who has been imbued with understanding geometry and the one who has not."

"Shall we, then, lay this down as a second branch of study?"

"Shall we set down astronomy as a third, or do you dissent?"

"I certainly agree," Socrates said; "for quickness of perception about the seasons and the courses of the months and the years is serviceable, not only to agriculture and navigation, but still more to the military art."

"I am amused," said Plato, "at your apparent lack of fear lest the multitude may suppose you to be recommending useless time wasting studies."

Platonic dialogues defined the literary genre of esoteric philosophy.

Plato's dialogues are not meant as textbooks

"We must endeavour to persuade those who prescribe culture to study until they see the nature of numbers with the mind only for the sake of the soul herself; the easiest way for her to pass from intention into being." - Socrates

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