Sacred Geometry


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Kabbalists, freemasons and other esoterics study nature and geometry to understand how life and existance may begun. Freemasons are esoteric geometers and architects who use straightedge and compass for construction of geometric shapes. 3D spacetime is a continuum which can be described with euclidean geometry. In the general theory of relativity by Albert Einstein 3D spacetime is described with non-euclidean geometry, riemannian geometry. This is a geometric theory of gravitation in modern physics. It is the simplest relativistic theory that is consistent with experimental data. Early comologies viewed the world as an onion made out of many layers of concentric spheres stacked one in another called called celectial spheres. Celectial spheres are represented as concentric circles in 2D diagrams. We use our right hemisphere while we observe the world with our eyes and use imagination to generate theories and world views. The computation done by the left hemisphere has to check if the observerd and imagined theory is consistent with experimental data. This is the old geocentric model with following order of the the spheres:

Earth is number 0.


 * 1) Moon
 * 2) Mercury
 * 3) Venus
 * 4) Sun
 * 5) Mars
 * 6) Jupiter
 * 7) Saturn
 * 8) Firmament, fixed stars, the zodiac
 * 9) Nonu Coelum, Crystallinum
 * 10) Primum Mobile, first mover
 * 11) Empyrian

Uranus, Neptune and Pluto are missing. According to Kepler's laws of planetary motion, following statements are true:


 * 1) The orbit of a planet is an ellipse with the sun at one of the two foci.
 * 2) A line segment joining a planet and the sun sweeps out equal areas during equal intervals of time.
 * 3) The square of a planet's orbital period is proportional to the cube of the length of the semi-major axis of its orbit.



Kabbalah describes the path of spiritual awakening like the chakra system in hinduism. The Tree of Life in Kabbalah is very similar to Yggdrasil, the nine worlds tree in Norse mythology, which is an archetypial Tree of Life. To understand the nine worlds you have to think in 3D space. Midgard, Muspellheim, Vanaheim, Niflheim and Jotunheim lie on the same plane on earth. Svartalfheim and Helheim are below. Ljossalfheim and Asgard are above. Those are the realms of the dead and spiritual beings like elves. The link between Midgard and Ljossalfheim is a rainbow bridge with the name Bifrost. All brave warriors, who fall in battle, will be brought to valhalla by a Valkyrie and feast there with Odin. All cowards go to hell. If the giants live in the east, the people in Midgard must be the dwarfs. The vans are a very spiritual and creative tribe. They can predict the future with their imagination. They taught the aesir, a warrior tribe, magic and runes.


 * 1) Helheim (Hölle, Unterwelt, Welt der Untoten, Undead)
 * 2) Svartalfheim (Schwarzalbenheim, Welt der Schwarzalben, Dunkle Elben, Dark Elves)
 * 3) Midgard (Welt der Menschen, Humans)
 * 4) Niflheim(Welt der Dunkelheit, Welt der Kälte, Welt der Eisriesen, Ice Giants)
 * 5) Vanaheim (Wanenheim, Welt der Wanen, Vans)
 * 6) Jotunheim (Welt der Riesen, Giants)
 * 7) Muspellheim (Welt des Feuers, Welt der Wärme, Welt der Feuerriesen, Fire Giants)
 * 8) Ljossalfheim (Alfheim, Albenheim, Lichtalbenheim, Welt der Lichtalben, Elben, Elves)
 * 9) Asgard (Welt der Asen, As, Ass, Aesir, Ace, Ac)



In Kabbalah the sun and the moon are connect to the world tree. In Kabbalah we have 10 sephiroths. Each sephiroth is a concentric circle in 2D or a celestial sphere in 3D which you need to pass on your way to enlightenment. The tree of life is just a diagram, a schema which describes the relations between the sephiroths. The Foundation sephiroth relates to grammar in the trivium schema. It represents the 22 or 27 characters of the hebrew alphabet and all knowledge a person aquires. At the top we have the Understanding(sun) sephiroth and the Wisdom(moon) sephiroth. Understanding is described as all knowledge which can be articulated with words. Wisdom is described as all knowledge which can not be articulated with words. In the middle we have the Beauty sephiroth which represents balance. The fool needs to balance the left and right brain hemispheres, Understanding and Wisdom, Compassion and Strength, Majesty and Endurance. The Compassion sephiroth represents love. The fool needs to love his spouse, his children, his family. The fool needs to love all of humanity because we are all one big family. The Endurance sephiroth represents patience. The fool needs patience with his fellow human beings. The Majesty sephiroth describes will power. The fool needs will power. To live means to struggle and to never give up. The Strength sephiroth represents bravery. To be a hero the fool needs to be brave. But what does it mean to be brave? Can you overcome your primordial fears? It means you do the right thing despite your fear of pain and death. To be brave means to be insane. Bravery needs balance or it becomes recklesness. Daath or Duat is not a sephiroth, but it is the place from where the tree grows. It is the realm of the dead, the Abyss, Ginnungagap. The Abyss is the divide between your ego, individual consciousness and god, comic conscioussness. It is the divide between lower and higher sephiroths. The serpent Choronzon dwells in the Abyss and is the final obstacle between a magician and true enlightenment. Another word for enlightenment is Kundalini awakening. Kundalini means coiled snake. There is a symbol where two snakes are coiled around a staff, the Caduceus. It seems the Kabbalists do not understand that the left hemisphere controls the right half of the body and that the right hemisphere controls the left side of the body:


 * 1) Kether (Crown, the leaves of the neocortex if seen as a tree, skull)
 * 2) Hokhmah (Wisdom, right brain hemisphere, heart, mother, care, emotions, imagination, geometric thinking, free will, chaotic principle)
 * 3) Binah (Understanding, left brain hemisphere, brain, father, logic, computation, hierarchy, ordering principle)
 * 4) Hesed (Compassion, Kindness, Mercy, left hand)
 * 5) Geburah (Strength, Discipline, Severity, right hand)
 * 6) Tifereth (Beauty, torso, balance)
 * 7) Netsah (Endurance, Victory, Eternity, left leg)
 * 8) Hod (Majesty, Splendor, Glory, right leg)
 * 9) Yesod (Foundation, grammar, alphabet, numbers, math, geometry, sexual organ)
 * 10) Malkuth (Kingdom, Kingship, feet)

Daat is not a sephiroth, Daat is number 0 (Knowledge, central brain, third eye, corpus callosum, pineal gland, parietal eye, equilibrium, balance)


 * 1) Men use logic a lot, do not talk much, suppress their emotions, low pitched voice.
 * 2) Women do not use logic a lot, talk much, do not suppress their emotions, high pitched voice.
 * 3) Colors: Male <---> Female, Red <---> Blue, Blue <---> Magenta





In the Divine Comedy by Dante Alighieri Dante is traveling through Inferno, the 9 circles of hell and Paradiso, the 9 spheres of heaven.

Earth is number 0 (The World. The Fool.)


 * 1) Moon: The Inconstant (The Moon.)
 * 2) Mercury: The Ambitious (The Hermit.)
 * 3) Venus: The Lovers (The Lovers.)
 * 4) Sun: The Wise (The Sun.)
 * 5) Mars: The Warriors of Faith (Strength. The Chariot.)
 * 6) Jupiter: The Just Rulers (Justice. The Emperor. The Empress.)
 * 7) Saturn: The Contemplatives (Temperance. The Hierophant. The High Priestess.)
 * 8) The Fixed Stars: Faith, Hope, love (The Star.)
 * 9) The Primum Mobile: First mover, The Angels (Judgement.)
 * 10) The Empyrean: God



The correct order of the four elements of matter is:


 * 1) Earth = solid matter, seismic waves
 * 2) Water = liquid matter, liquid waves
 * 3) Air = gas matter, sound waves
 * 4) Fire = plasma matter, plasma waves, Light = electromagnetic radiation, electromagnetic waves
 * 5) Spirit, Soul, Pneuma, Essence, Love, Quintessence, Aether








 * 1) Calcination
 * 2) Dissolution
 * 3) Separation
 * 4) Conjunction
 * 5) Fermentation
 * 6) Distillation
 * 7) Coagulation









We have following archetypes:


 * 1) God of Earth, Taurus, Geb, Green
 * 2) God of Water, Scorpio (Eagle), Nu, Blue
 * 3) God of Air, Aquarius,  Shu, Yellow
 * 4) God of Fire, Leo, Sekhmet, Red
 * 5) God of Sun, Ra, White

Seems like the Air and Water archetype was reversed to bamboozle the fools. Because Eagle = Air and Aquarius = Water.

In the Book of the Dead (The Book Coming Fourth by Day) you can find a cryptic image, which explains the evolution of consciousness:


 * 1) Mineral
 * 2) Plant
 * 3) Animal
 * 4) Human
 * 5) Metahuman (Pharao, Übermensch)

Another version is:


 * 1) Mineral: Rock
 * 2) Plant: self-poisoning with neurotoxins deliberately is below animal intelligence
 * 3) Animal, Goat, Herbivore: Bio-robot, Turing Machine, Sorcerer archetype, Psychopath archetype, Serious Scientist archetype
 * 4) Animal, Lion, Carnivore: Bio-robot, Geometric Machine
 * 5) Animal, Monkey, Omnivore: Fool archetype, Mime-artist archetype (no egoism, capable of learning, imitation in yoga)
 * 6) Animal, Human, Omnivore: Fool archetype, Mime-artist archetype, Trickster archetype, Magician archetype, Shaman archetype, Buddha, Shiva (enlightened)





In Alchemy we have:


 * 1) Lead
 * 2) Mercury
 * 3) Tin
 * 4) Copper (tin + copper = bronze alloy)
 * 5) Iron (iron + carbon = steel alloy)
 * 6) Silver
 * 7) Gold

V.I.T.R.I.O.L.


 * 1) Lead
 * 2) Tin
 * 3) Iron
 * 4) Gold
 * 5) Copper
 * 6) Mercury
 * 7) Silver

ATEN, ATON, AMUN, AMON, AMEN, JHVH, CHIRAM-ABIFF, INRI = spirit of the four elements, waves of the material world.

AMON-RA = four elements and the sun.

JHVH-1 = four elements and the sun.

The three Hebrew words Chamah, Rusch and Mayim mean respectively Fire, Air, Water, while their initial consonants, Ch, R, A, M, give us Chiram. Abiff comes from old french "biffet" and means "eliminated". By rediscovering Water, Air and Fire the dead Earth needs to be resurrected.

INRI = Iamin, Nour, Rouach, Iebeschal; ימים, נור, רוח, יבשת; Water, Fire, Wind, Earth.

There exists an interesting seed lotus plant which may resemble the flower of life. Pomegranates were native to the Land of Canaan, one of the blessed Seven Species.


 * 1) Wheat
 * 2) Barley
 * 3) Grapes
 * 4) Figs
 * 5) Pomegranates
 * 6) Olives
 * 7) Dates

The pomegranate plays an important role in the abduction story of Persephone by Hades. This allegorical story is part of the Eleusinian Mysteries. An concept in Greek mythology for the afterlife is called the Eleusian Fields. Similar to the concept of Paradise and Aaru Fields. There was even a goddess called Elysia. Elyisia sounds like illusion.

The seed of life is a pattern of overlapping circles grid. It consists out of 1 circle in the middle, 6 outer circles and those are surrounded by 1 outer circle. This is an esoteric image which needs to be decoded by removing the outer circle and extending it by drawing more circles. Following images describe the drawing of the seed of life:





Now we see that we have to understand the seed of life not as a 2D image but as a 3D projection of spheres. It describes how to solve sphere packing, close-packing of equal spheres in a sphere. The spheres are arranged in the form of an icosahedron. The icosahedron is 1 out of 5 platonic solids. We have 1 sphere at the top, 5 spheres in the upper part arranged as a pentagon, 5 spheres in the lower part arranged as a pentagon and 1 sphere at the bottom. We can also have 1 sphere in the middle. In the end we have 13 spheres. This also called the kissing problem and the number of spheres touching is called kissing number. The kissing number is 12 for 3D space. There is also sphere packing in a cylinder. The spheres can also be arranged in the form of an cuboctahedron, which was named vector equilibrium by Buckminster Fuller. This is the only geometric form where all of the vectors have equal length.



We have following series:

1 + 6 + 12 + 18 + 24 + ...

1 + 6 * (0 + 1 + 2 + 3 + 4 ...) 1 + 6 * (n^2+n)/2 = 1 + 3n^2 + 3n

little gauss formula creates the triangular number series:

0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231,

253, 276, 300, 325, 351, 378, 406, 435, 465, 496, 528, 561, 595, 630, 666, ...

to get the flower of life series, we just need to multiple a triangular number by 6 and add 1:

1, 7, 19, 37, 61, 91, 127 ... Triangular numbers can be seen as circle packing in 2D space.

The fibonacci number series:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987 ...