16th clip [Mixed by Royksopp 12 - I-Level - 3-am (12' Version)] (Unofficial Video)

Raimundas Tumėnas

A beginer’s guide to constructing the universe

Hello to everyone. Here is some fragments of this excellent book: 

A beginer’s guide to constructing the universe

Geometry is the purest visible expression of number. In Platonic terms, the effect of its study is to lead the mind upward from Opinion onto the level of Reason, where its promises are rooted. It then provides the bridge or ladder by which the mind can achieve its highest level in the realm of pure Intelligence (nous).

As soon as you enter upon the world of sacred, symbolic, or philosophical geometry – from your first, thoughtful construction of a circle with the circumstances divided into its natural six parts – your mind is opened to new influences that stimulate and refine it.

In ancient Greece the advanced students of the philosopher Pythagoras who were engaged in deep studies of natural science and self-understanding were called mathematekoi, “those who studied all”. The word mathema signified “learning in general” and was the root of the Old English mathein, “to be aware”, and the Old German munthen, “to awaken”.

In 1611 Galileo wrote:

Phylosophy is written in this grand book – I mean the universe – which stands continually open to our gaze, but it cannot be understood unless one first learns to compare the language and interpret the character in which it is written. It is written in the language of mathematics, and its characters are triangles, circles, and other geometrical figures, without which it is humanly impossible to understand a single word of it; without these, one is wandering about in a dark labyrinth.

William Shakespeare (1564 - 1616): In nature’s infinite book of secrecy, a little I can read.

Hazrat Inayat Khan (1882 - 1927) Living in the world without insight into hidden laws of nature is like not knowing the language of the country in which one was born.

Religious art is sacred not only due to its subject matter, but because it was designed using the subtile symbolic language of number, shape, and proportion to tech self understanding and functional self development.

By doing geometric constructions on paper, we are recalling the ageless process of creation, replicating with our minds and hands the generative principles by which the universe is evolving.

Black Elk (1863 - 1950): everything an Indian does is in circle, and that is because the power of the world always works in circles, and everything tries to be round.

Nature’s forms represent invisible forces made visible. (A greek amphitheater’s circular design matches the shape of the invisible but expanding sound waves of the actors voices and provides everyone with equal view.)

A circle symbolized in nearly every culture as a wheel, the circle represents nature’s universal cycles, circulations, circuits, orbits, periodicities, vibrations and rhythms. […] But notice only the most obvious: even the seasons form a great circle in their changing, and always come back again to where they were. The life of a man is in a circle from childhood and so it is in everything where power moves.

Isaac D’Israeli (1766 - 1848): A circle may be small yet it may be as mathematically beautiful and perfect as a large one.

A circle is not just the curve but the miraculous space inside, which manifests between nothingness (zero – dimensional point) and everything (infinitely many points around the circumference).

The Monad, or oneness, expressed as a point and a circle, is the foundation for our geometric construction of the universe.

Everything seeks unity. The goal of many religions and mythic ordeals is to return to a astate of oneness because unity is axiomatic and we already are integrated in it. Barely recognizing our situation, here and now we live n a whole and beautifully harmonious wonder world. Only a self imposed illusion of separateness keeps us from recognizing our own center of awareness and identify with One. To understand this unity the ancient mathematical philosophers contemplated the principles of the Monad through the arithmetic principles of the “number” one and by exploring its geometric expression as the circle.

This illusion of separateness is not a direct characteristic of the Monad but requires twoness. The Two, and “other”, proceeds from the One for the process of universal construction. To understand how duality and the sense of separation derive from unity and work in the world and ourselves, we must go deeper into the mythic realm of geometry and number to the principle of twoness, known to the Greeks as the Dyad.

Heraclitus (540 – 480 B.C. Greek philosopher): The opposite is beneficial; from things that differ comes the fairest attunement; all things are born through strife.

Karl Menninger (1893-1930) – Our mind divides the world into heaven and earth, day and night, light and the darkness, right and left, man and woman, I and You – and the more strongly we sense the separation between these poles, whatever they may be, the more powerfully do we also sense their unity.

The principle of “twoness”, was called Dyad by the Greek philosophers of the five centries before Christ. […] The principle of Dyad is polarity. Polar tension occurs in all natural and human affairs as any opposing relationship, contrast, difference. It is at the root of our pernicious notion of separateness from each other, from nature, and from our own inherent divinity.

The paradox of the Dyad is that while it appears to separate from unity, its opposite poles remember their source and attract each other in an attempt to merge and return to the state of unity.

The linguistic roots of the word “two” support its dual nature. Sepparation is emphasized in words having the prefix “di” or “du”: discord, difference, dispute, dissent, disunion, difficult, dilemma, divide, distinct, doubt, duo, duet, dual, duel.

Polar tension is at the root of all birth and creation. […] it takes two to tango. 

Human nature mirrors outer nature. All personal relationships have at their essence the archetypal tension between opposites […] Psychologists tell us that within each of us are the poles of anima and animus, female and male aspects whose relative balance determines how we relate to other men and women. Although we think we act independently, we follow nature’s polar principles in most everything we do […] Under the sway of the Dyad we see walls, boundaries, dividers. Polarized thinking encourages our sences of separateness and deflects our wisdom from the world’s  - and our own – inherent unity. We cannot live in a sense of oneness, unity, wholeness, completeness while bouncing in the mirror world of implied opposites, continually attracted or repelled, feeling separated from each other, from nature and from deep relation to our inner selves […] In our deepest Self we are beyond all polarity.   

[……] Two linked circles are the symbol of the Dyad. The almond-shaped zone of interpenetration between the circles has attracted the attention of geometers, artists, architects, and mythmakers through history. This is the vesica piscis, in Christian cultures a reference to Christ as the “fish” in the Age of Pisces. It’s called a mandorla (“almond”) in India. It was known in the early civilizations of Mesopotamia, Africa, Asia, and elsewhere. […] The vesica piscis was used functionally and symbolically in the construction of doors or portals between mundane and spiritual spaces. […] Through these doors, symbols of spiritual passage. We leave the street of the Many and enter the domain of the One.  […] HHindu temples are traditionally designed upon geometry originating with the vesica piscis. Temples represent a portal between earth and the heavens, our mundane and spiritual identities.

“Everything that originated from the tree of knowledge carriers in it duality.” – Zohar (mystical Jewish text).

TRIANGLE

The triangle is a visually arresting shape and powerful symbol calling for us to be alert. Variations on the triangle have a captivating effect on us that imply a message of wholeness, strength, stability, and process in commerce, science, and religion.

The Triad invites unlimited perspectives and possibilities, infinite shades of gray between the extremes of “yes” and “no”, each valid in different situations […] Physicists call this trinity an “action, reaction, and resultant”; philosophers call it a “thesis, antithesis, and synthesis.” The three elements together form a greater new thesis, which, in turn, induces its opposite and is ready for a greater synthesis.

What scientists call “light, energy, and mass” are the traditional “spirit, soul, and body” described by Plutarch as nous (divine intellect), psyche (soul), and soma (body). To the Hindus the principles within light, energy, and mass are the three gunas (“qualities”) of purity, activity, and inertia that blend in different proportions in all processes and events outside and within us.

TETRAD

(In ancient Greece) even numbers were considered female, odd numbers male.

To the Pythagoreans the even-sided square represented “justice” because four is the first product of equal values.

All creation is due to polarity. Every birth occurs through this interpretation of positive and negatibe, light and dark, male and female, god and goddess, electricity and magnetism, and the two circles of the vesica piscis where geometric forms configure.

In mythic terms, the Demiurge is said to conquer chaos by dividing it into the four elements.

Plato: “Geometry existed before creation.”

The first manifestations of the universe are geometric. From hydrogen to uranium all ninety-two natural atoms of the periodic table that compose minerals and crystals are geometric.

Werner Heusenberg (1901 – 1976, German physicist): “I think that modern physics has definitely decided in favor of Plato. In fact the smallest units of matter are not physical objects in the ordinary sense; they are forms, ideas which can be expressed unambiguously only in mathematical language”.

Trinity and quaternity is represented by the symbol of the pyramid on the Great Seal of the US, whose divine eye in the triangle floats in light above its four-faced square, square-based brick foundation. This “three above and four below” is also symbolized in the Sphinx’s trapezoidal headdress, which implies an unseen trinity above it.

The famous symbol of the Freemasons, the compass over the carpenter’s rule is opened sixty degrees, the angle of an equilateral triangle, above the rule’s ninety degrees. The compass and square together symbolize our inseparable divine and human natures.

A triangle above a square in art and architecture traditionally represents our deepest divine “over” the four “elements” of our human nature.

When we are most In touch with our deeper Self we are not forming pictures, thinking, or emoting but are simply aware of our inner “fire” and sense of purpose, experiencing a deep knowing beyond thought or emotion or sense. Fire is a symbol of purpose.

Carl Jung recognized the fourfold nature of Hindu and Buddhist mandalas as symbolic of the Self and its journey through the four elements, which he labeled the “four orienting functions”: sense, emotion, thought, and intuition. As part of their analysis, he had his patients construct personal mandalas. The fourth, our intuitive fire, is like the star followed by the Three Wise Men. When our three lower elements become purified of destructive habitual patterns, they become “wise” and follow the spiritual light above and within.

Self-discovery and self-knowledge require nothing outside us, onl sustained attention directed to our inner landscape […] Focus on each of four levels of the body – the pelvis, gut, chest, head – and come to know them as realms of earth, water, air, and fire. Avoid encouraging the formation of pictures, scenes, images. Just concentrate on their feeling. Get to know your world as the ancient philosophers did, as a representation of the cosmos.

PENTAD

Beyond the Monad’s point, the Dayad’s line, The Triad’s surface and the Tetrad’s three dimentional volume, what remains? The pentad represent a new level of cosmic design: the introduction of the life itself.

Albert Einstein: “The most beautiful thing we can experience is the mysterious. It is the sourse of all true art and science.”

Anagarika Govinda: “The feeling of awe and sense of wonder arises from the recognition of the deep mystery that surrounds us everywhere, and this feeling depends as our knowledge grows.”

Have you ever wonder why the flags of over sixty nations include a five-pointed star? Flags affect people deeply. There must be something very powerful in the tar icon if so many nations with conflicting ideologies each claim this same symbol as their own. One would expect each country to design its flag to be individual, unique. Vexillogists tell us that the experience of star-spangled flags continues a ritual dating back millennia, when flags were seen as magical symbols of power and invulnerability. Everyone wants to be associated with excellence; the star’s appeal emerges in the ceremonious respect accorded flags and five-part phenomena. […] Something inside us clearly resonates with the fivefold form. […] The world recognizes and respects the five-pointed star for the same reasons: it imparts to everyone an irresistible impression of excellence and power.

When the star is inverted it’s called a Drudenfuss (German for “witch’s foot”) and appears in magical ritual and witchcraft. It has been associated with devils and demons since rebel Egyptian god Set sesisted spiritual aspiration to become the adversary of his brother Osiris and nephew Horus. Set had many attributes associated with the modern image of a devil: horns, coarse red hair, hooves a tail. […] His forty-two attributes are actually symbols of the down-reaching elements of our own psyche that must be purified. The Egyptian “underworld”, whose hieroglyph is a circle surrounded by five-pointed star within a circle, is the mythical nighttime place where the “perishable” stars go when they sink below the horizon at dusk. The “underworld” recalls our own spiritual sleep from which we can awaken. The Egyptian star glyph withour the circle signified either a nighttime star, a door, or a teaching, an intriguing combination of ideas in one glyph. […] In ancient Greece, the star was associated with Pan, who also had horns, red hair, hooves, and a tail, representing the lustful fertility of nature, which induces panic and pandemonium in prime people. Later in Western culture Pan’s sexuality became the great temptation of the modern devil and star was inverted to imply the reverse of, and resistance to, its positive qualities of excellence and goodness.

[…] pentagram star was a symbol of humanity and health to the Pythagoreans, who wrote the name of the goddess Hygeia around its points. Pentagonal symmetry is the flag of the life. When it appears in nature we are seeing the archetype of the Pentad expressing life’s excellence and authority.

[…] The overall design of any leaf fits within a stretched or composed pentagon. Leaves have the same symmetry as hands.

Iamblichus: “The Pentad is particularly comprehensive of the natural phenomena of the universe.”

[…] The flower of every edible fruit has five petals. Before you eat an apple or pear, cut it in half at its equator to see the star pattern in which its seeds, the holders of life itself, are arranged.

When we look at any leaf, flower, or fruit we are seeing the invisible energy web of the archetype made visible as a pattern of living cells.

Periodically throughout history the construction of the pentagon has been so reversed that it was kept secret by various societies who recognized its predominance in nature and its potent effect on human nature. […] Around 500 B.C. the pentagram star was the sign used by advanced members of the Pythagorean society to recognize one another, and one thousand years later it was a guarded teaching tool only taught orally, not written about, by the crafts guilds who infused its symbolism into the designs of Gothic cathedrals. It wasn’t until 1509 when the monk Fra Luca Pacioli, inventor of double-entry bookkeeping and the mathematics teacher of Leonardo da Vinci, published “De Divina Proportione”, that the method of its construction and unique geometric properties was revealed to artists and philosophers in public.

Nature expresses the cosmic philosophy through geometry.

Johannes Kepler: “I believe the geometric proportion served the Creator as an idea when He introduced the continuous generation of similar objects from similar objects.”

The key to this regenerative pentagonal geometry can be found in a particular self generating number series known as the Fibonacci sequence.

Write out the first few terms of the Fibonacci sequence. Draw a line under to make it a fraction, and underneath write the Fibonacci sequence shifted back one term.

1/0; 1/1; 2/1; 3/2; 5/3; 8/5; 13/8; 21/13; 34/21; 55/34…

A graph of the results shows each term getting closer to an ideal of 1,61803398875… or rounded off to 1,618 or even 1,62. Notice how it begins currently, pulsing far over then under then over the ideal, getting closer and closer on its way toward an infinite at which it will never arrive.

The ancient Greeks learned from the Egyptians, that the human body is ideally structured in part and whole according to the golden mean.

The basic unit is the vertical distance between the brow (the top of the eye) and the tip of the nose. The distance from the brow to the crown is φ (1,618) times larger than the brow-nose unit. […] The φ ratio is also found from the nose to the base of the neck. In the next extends from the neck to the armpit, there to the navel, to the reach of fingertips, and finally from the fingertips to the soles. Thus, the body is ideally divided into seven φ sections. This design was consciously used in ancient sculpture when depicting the ideal bodies of the eternal gods. Human figures were purposely depicted less perfectly.

In Arabic calligraphy, the shape of the hand spells “Allah”.

A core theme in ancient philosophy is that of the human as a microcosm of the whole, the macrocosm. […] We contain smaller similar structures and we are part of, and models of, larger structures of the cosmos.

Thus the human body itself models greater self-replicating wholes. Its expanding φ proportion recurs in the larger structure of the solar system, in the distances of the planets from the sun and each other. Here the addictive Fibonacci process is at work: the distance from the sun to Mercury plus Mercury’s distance to Venus equals the distance between Venus and Earth. The solar system is modeled in the proportions of your body. The φ ratio is most clearly defined by the planets nearest the sun, but ideal gradually breaks down towards the outer planets.

The “golden rectangle” is a rectangle whose sides are in φ ratio. The one most like it, having sides in a twenty-one to thirty ratio.

Look around and you’ll find many objects displaying φ dimensions. Furniture, clothing, utensils, pens, mirrors, windows, writing pads, pans with handles, logo, proportions, index cards (3 x 5 and 5 x 8 inches), grocery bags, picture frames, TV sets, cassette tapes, and stereo speakers often display the φ ratio. One needn’t be aware of mathematics to find this relationship pleasing. The golden rectangle appeals to us visually, but the proportion can also delight us audibly.

Φ’s self-replicating symmetry appeals to us because we unconsciously sense its internal balance, recognizing in the harmony of φ relationships the harmony within ourselves. Φ resonates with the core of life, reminding us of our own infinite depth and beauty.

A Golden rectangle is a rectangle whose sides are in Φ relation. The United Nations Building in New York was designed as three golden rectangules. The west façade of the Cathedral of Notre Dame in Paris is rich in golden mean relationships.

Fredrik Macody Lund: “Sacred architecture is not, as our time chooses to see it, a “free” art, developed from “feelings” and “sentiment”, but it is an art strictly tied by and developed from the laws of geometry.”

SPIRALS

What makes spirals so prevalent in cosmic design? They are the purest expression of moving energy. The universe moves and transforms in spirals, never straight lines. Spirals show up as the path of moving atoms and atmospheres, in molecules and minerals, in the forms of flowing water, and in the bodies of plants. At first, the spiral does not appear to be pentagonal, but whenever you see a star you will find a spiral rolled within it.

The spiral’s role in nature is transformation. Similarly, in myth and religion it is the path of spiritual and musical transformation.

·        Spirals grow by self-accumulation.

·        Every spiral has a “calm eye”.

·        Clashing opposites resolve into spiral balance.

Two main types of spirals we’re most often exposed to are called the Archimedian spiral and the golden spiral.

The spiral most commonly found in nature’s public manuscript is another type, the golden spiral. Unlike Archimedian spiral, the distance between the golden spiral’s coils keeps increasing, growing wider as it moves away from the source or narrower as it moves toward it. […] This is nature’s spiral of seashells and ram’s horns, of our ears and fists, of watery whirlpools and starspangled galaxies. It grows from within itself and increases according to the Fibonacci process of accumulation.

Like the famous Fibonacci number series, the golden spiral grows from within itself; nothing is absorbed from outside. It is physical representation of self-accumulation […]

 Every triangle in a pentagram is a golden triangle. Thus, when we see a five - petaled flower we can always find a spiral associated with it, as the buds slowly whirl open.

The “calm eye” corresponds to the “zero” at the very beginning of the Fibonacci sequence. Like the deceptively calm eye within a storm or hurricane, intense action swirls around it but the eye itself remains placid untouched.

(Mathematicians call the golden spiral’s eye asymptote, a place always approached, but never reached.)

These characteristics are the open secret of balance of animal horns, seashells, plants, and galaxies. For instance, as the chambered nautilus creature grows larger, the gland that exudes shell material also grows, building a widening shell. The shell’s golden spiral shape maintains the same center of gravity in any size, and so the nautilus need not relearn how to balance itself as it matures. […] Similarly, the tree that puts out branches and leaves in spiral “staircases” around their respective “eyes” can get enormously large.  

Gothic and Renaissance artists used local shells to design spiral staircase of great strength. The well known sound of the ocean “heard” in a spiral seashell is actually the magnified echo of the blood pulsing in the listener’s own ear.

The groups of birds and swarms of insects, regroup in the pattern of a whirlpool spiral. Some say that is because they are following the unseen water on air. Others maintain that each individual fish, bird and insect is like one cell, one part of a single organism and they are linked as one energy field.

Another property unique to this type of spiral is reflecting in an alternate name for it, the “equiangular” spiral, coined be the French mathematician and philosopher Rene Descartes in 1638: any line drawn from the pole to the curve cuts it at the exact same or “equal” angle all around.

The flight of a fly illustrates this. A fly’s eye is made of thousands of tiny, hexagonally packed facets. It sees the same image fixed in its original place in each facet. As the distance to the object becomes shorter, the angle of approach remains constant. Thus, the path produced is made of segments whose arcs are identical, only different in size – tracking the accumulative golden spiral.   

The outer ear, or auricle, is one of our body’s most obvious spirals, along with curls of hair and spiral cowlicks, the mushroomlike vortex of our nostrils, our curling fists and accumulating fingernails. Chinese acupuncturists, recognizing the principle that the part models the whole, map the entire spiral embryo onto the spiral ear. Thus, to treat any malady of the body, they’ll first treat the corresponding part of the ear. […]

Not only does our whole body into life as a spiral, but at its heart, our body’s literal heart, is a dexterious (left - spinning) spiral vortex. […]

A single electron in a superheated bubble chamber leaves spiral trails as it loses energy within the chamber’s magnetic field. From the smallest particle whirlpools to the largest clusters of galaxies, each dances the same spiral step when coming into, or dissolving out of, manifestation.

Spirals are a sign of growth and transformation through resistence. While their sizes and substances vary widely, nature’s spirals result from an interplay of opposites, the clash of the Dyad.

Four types of spiral appear in nature: the whirlpool, eddy, the wave, the mushroom vortex rings, and the vortex street. […] Flocks or flying birds take advantage of vortex street in their familiar V formations. Only the lead bird must really work at flapping its wings; the others latch onto the undulating spiral wake of turbulence trailing it behind it. They simply relax their wings and let the rolling waves move them up and down and forward. When the lead bird becomes tired she falls back while another moves ahead to work at splitting the breeze for the others. […] The wings of some birds like owls are so perfectly designed that they produce virtually no turbulence, and consequently no sound.

St. Bernard of Clairvaux (1090 - 1153): “Believe one who knows: you will firnd more in woods than in books. Trees and stones will teach you that which you can never learn from masters”

Koran: “[…] and in the shifting of the winds, and in the clouds that are pressed into service betwixt heaven and earth, are signs to people who can understand.”

The structures of growing plants often resemble patterns of water and air in motion. Because plants are mostly of water, although they move much more slowly, so it is appropriate that they express the natural forms of flowing water. […] Many plants obviously resemble upright vortex streets. The central stem corresponds with the zigzagging path flowing along the central of the vortex street. Each leaf, like a breaking wave, emerges alternately from the stem and curls around, its farthest tip turning back in search of the elusive eye. The architecture of a plant resembles the path of hot moisture rising into cooler, calmer, drier air. Its structure appears as a vortex street, giving us a glimpse of the invisible pattern of flowing energy, the lines of living force along which the plant’s cells manifest like a bubbling forth to define its shape. Spirals occur in response to the world’s resistance.

[…] In larger plants and trees we can see how each branch is a miniature vortex street emerging from the central trunk. Wach bough, branch, twig, stem, and leaf is a complete vortex street and part of greater vortex streets. […] View leaves from up close and see that each one is like a miniature river delta, a stream of flowing life depositing living green silt upon the web of a growing pentagon. In moments of insight, as you practice this way of looking at vegetation, you may see all these eddies simultaneously as vastly nested whirlpools within whirlpools of living turbulence. Such self-replication is the hallmark oif nature’s spiral growth grammar.  

[…] The architecture of upright plants shows that they put out leaves in spirals around them, like staircase winding in either direction, clockwise and counterclockwise, at different slops.

[…] As your eye walks up and around the spiral staircase of leaves, you will discover that number of leaves in one leaf cycle, that is, to the next leaf fed by that vein, is a Fibonacci number. Also, the number of spirals you turn to get the next leaf cycle will also be a Fibonacci number. Each of the world’s 350,000 known plant species can be characterized by the ratio of “leaves-to-spirals” in one leaf cycle. The higher numbers are on the Fibonacci sequence and the more precise the ratio is to φ, the more complex the plant. […] By multiplying the inverse of this ratio be 360 degrees (to get a measurement of les than 360 degrees), you will discover the angle between measurement of consecutive leaves as they emerge from the stalk that is characteristic of the species. The ideal angle is approximately 137.5 degrees (=1/φ x 360), or 222.5 degrees, measuring in the opposite direction. On a clock, the angle would be made by the hands at three minutes to four o’clock.

As Leonardo da Vinci noticed, there are supreme advantages to this spiraling arrangement. The more precise φ ratio is, the less overlap of leaves there is so that each leaf gets the most sunlight and the least shade.

[…] The golden spiral’s geometric characteristic of self-similarity of part and whole guarantees that while the plant grows in size and weight it maintains the same balance, stability, and center of gravity.

[…] We hold the proportions of the solar system in our hands, face, and whole body. One can fold an outline of the human body differently and create the proportions of a starfish and seashell, a rose, and the Milky Way galaxy. Perhaps the entire universe is a great, living, intelligent being we just do not recognize, in the same way that one cell in our body does not suspect the existence of the person reading this or even have the ability to comprehend your possibility.

[…] In the Bible the Deity speaks to prophets from the same whirlwinds on which Native American initiates, like those in many other cultures, were carried to “heaven”. The approach to heaven, not like a location in the clouds, but a symbol of regeneration to conscious identity the Higher Self within, is never depicted as a straight line. Neither is the descent to Hell, as Dante tells us from his downward spiral tour.

Craftspeople from ancient Egypt, Babylon, China, Africa, Europe, India, and Polynesia and great artists from Brueghel to Blake have symbolized the spiritual path as a spiral. All people seem to understand this intuitively. Even the makers of popular movies feel it. On her dream journey, Dorothy is transported first from Kansas to Munchkin Land on a spiraling “cyclone” and travels from there to OZ via the Yellow Brick Road, which begins at the eye of a golden spiral expanding ever outward to the Emerald City.  

With its inherent harmony, the spiral is a metaphor for our inevitable transformation within. This inner spiral is not the physical spiral of our body, the embryo and ears, hair and heart, fists and fingerprints, but rather a psychic one, beckoning us a symbol of consciousness and the way we live.

Our own inner spiral process whirls us into the mystery of the infinite within us. The spiral shows us that we are comprised of a continuum, not fragments, as we ordinarily appear to ourselves. A clue waits coiled in the spiral’s principles of self-replication, self-accumulation, self-recurrence, and self-similarity. The recurring key word is “self”. The message of the spiral is growth and the transformation of our Self.

At the center of our Self, deep within our consciousness, is a calm “I”. like the calm “eye” within a storm, our center is untouched by psychological turbulence. Peaceful, it observes all from the vantage of wisdom. […] It feels like the Self you know best, like who and what you know your Self to be, calm in knowing without thinking. To be centered is not the same as being “self-centered” or selfish. Instead, it is within the deep, divine power that motivates us.

15th Fractal clip & The Golden Spiral.

Hello…

So this vid is not very abstractive as others are and has that implemented meaning at the end of the clip.

Which is a golden spiral and (some quotes from a book called: “A Beginner’s Guide to Constructing the Universe”) “unlike Archimedian spiral, the distance between the golden spiral’s coils keeps increasing, growing wider as it moves away from the source or narrower as it moves toward it. […] This is nature’s spiral of seashells and ram’s horns, of our ears and fists, of watery whirlpools and starspangled galaxies. It grows from within itself and increases according to the Fibonacci process of accumulation” […] “Spirals are the purest expression of moving energy. The universe moves and transforms in spirals, never straight lines. Spirals show up as the path of moving atoms and atmospheres, in molecules and minerals, in the forms of flowing water, and in the bodies of plants”. “These characteristics are the open secret of balance of animal horns, seashells, plants, and galaxies. For instance, as the chambered nautilus creature grows larger, the gland that exudes shell material also grows, building a widening shell. The shell’s golden spiral shape maintains the same center of gravity in any size, and so the nautilus need not relearn how to balance itself as it matures. […] Similarly, the tree that puts out branches and leaves in spiral “staircases” around their respective “eyes” can get enormously large.  

Gothic and Renaissance artists used local shells to design spiral staircase of great strength. The well known sound of the ocean “heard” in a spiral seashell is actually the magnified echo of the blood pulsing in the listener’s own ear.” […] “The groups of birds and swarms of insects, regroup in the pattern of a whirlpool spiral. Some say that is because they are following the unseen water on air. Others maintain that each individual fish, bird and insect is like one cell, one part of a single organism and they are linked as one energy field.

Another property unique to this type of spiral is reflecting in an alternate name for it, the “equiangular” spiral, coined be the French mathematician and philosopher Rene Descartes in 1638: any line drawn from the pole to the curve cuts it at the exact same or “equal” angle all around.

The flight of a fly illustrates this. A fly’s eye is made of thousands of tiny, hexagonally packed facets. It sees the same image fixed in its original place in each facet. As the distance to the object becomes shorter, the angle of approach remains constant. Thus, the path produced is made of segments whose arcs are identical, only different in size – tracking the accumulative golden spiral.”[…]

“The outer ear, or auricle, is one of our body’s most obvious spirals, along with curls of hair and spiral cowlicks, the mushroomlike vortex of our nostrils, our curling fists and accumulating fingernails. Chinese acupuncturists, recognizing the principle that the part models the whole, map the entire spiral embryo onto the spiral ear. Thus, to treat any malady of the body, they’ll first treat the corresponding part of the ear.”

“Not only does our whole body into life as a spiral, but at its heart, our body’s literal heart, is a dexterious (left - spinning) spiral vortex”.

“A single electron in a superheated bubble chamber leaves spiral trails as it loses energy within the chamber’s magnetic field. From the smallest particle whirlpools to the largest clusters of galaxies, each dances the same spiral step when coming into, or dissolving out of, manifestation.”

Hope that in the near future I’ll post some more information about these very interesting things (to me at least) to my blog theworldofthefreactal.blogspot.com

And if you have been watching this or other clips, you easily can notice, that I’m possessed about golden spiral, which contains of the Fibonacci sequences, which and also can be found everywhere in nature. So these kind of things show to us that all Universe has the same laws and doesn’t matter what kind of size is the matter, because her dynamics remains the same. Hmm that’s very interesting to me, and keeps me wondering about. That’s for sure… Bye now. Raimundas Tumėnas

Fractal: Surfing on the waves [music fragment: AFX - Acid 04]

Hello to Everybody!
This is new one. I'm creating these clips just for my enjoyment and placing them on youtube, because I hope that somebody will enjoy them too (but was wrong about that :). Some of the clips are very abstractive (like this one), they won't "tell" ya anything..
Why I started to create these vids? Well, I have been inspired by Steve Willner clips, but his vids showed to me too fast with embedded some kind of meaningful symbols and with a rapid movement these symbols (I think) can be embedded to our brains at the subconscious level (my guess :). Personally do not try to do that (and don't like that, but then clips seems that has no purpose to be created...?), but I like to see how pictures, affected by some effects, are moving on the screen and (for me at least) that is the main goal of creating these kind of clips.
What about music :)? Yes, a music most of the time didn't come from main stream. I like very different music, but for my clips perfectly fit electro music like AFX for instance (and I do not afraid his d'evil smiley face :) , I have to admit, that some of them sounds A BIT INSANE, but others are just perfect for me to listen :) Raimundas Tumėnas 

13th Fractal Clip [Medusa's Path]

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12 th Fractal [Aphex Twin - 120 bpm]

Nothing special except that this one does not have even name :).

I came back to my old good music – Aphex Twin, which I really like and can listen very long not like others (like dubstep for instance, because there are appearing the same sound motive embedded to that music every time (and I think dubstep should be called dumbstep :D ), which I personally don’t like repeating theme and AFX is much better for me at least :).

I recently downloaded whole collection of this “band” and I hope that I will implement this music to other clips too.

So the clip has 1 min long “capacity” of time frame and I have been creating this just with a flow and finally added AFX “song”. So this is very abstractive clip even without name :).

I saw earlier interesting “phenomenon”, that if you are creating fractals with even abstract pictures – some times you can get creepy boogeyman motive (that is clearly visible here). That happened instantly I didn’t try to do that.Raimundas Tumėnas 

Open the 'door' [Moby - isolate mixhell remix]

Hello.

Hmm. What can I say/write about this clip? Well, he reflects my today’s mood, which is a bit melancholic (but, really, this has nothing to do with weather at all :). In this clip you won’t see much fractals, or rapid changing pictures (which some times are fun to create), but these pictures (well, most of them actually) have been selected in order to show for you some kind of meaningful short story for thinking about…

When I started to create the clip, I suddenly chosen a motive of “the door” or I should say the seeking to see what is behind that door (answer in short :). In ourselves are arising that particular question all the time (especially when melancholia appears, but I have to interrupt, that I’m talking about melancholia not like a depression or something like that).  

And the segment of Michell remix of Moby – Isolate perfectly fitted to my clip because it has some kind of synchronicity to these moving pictures and it is totally reflecting that mood. The clip is really too short (as usual), but that is better than nothing (I think). So I hope you enjoy. Bye now. Raimundas Tumėnas

Surfing on the light

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Trinity Fractal and Nebulas theme.

Hello.
Every time, when I’m creating clips, I always try to do something new, that would not be so boring for you to watch. At this time I surprised myself :D because the beginning of the clip and the end (with that trinity fractal especially was just astonishing to me :) At this time a fractal object appeared that has no ending and formed an effect that no matter how much we zoom that fractal object, he will repeat infinitely just like never ending mathematical function :D
And the music has been picked up without thinking which will fit the most for this particular video and for this reason music is not synchronized and the clip is very short because I do not think that it is good to watch rotating objects for a 10 or 15 minutes unless the details of the clip would be not so sharp and there should be much more layers (but a process of creation would be very long and too boring for me (but maybe I’ll try))…
So a fragment of the music is from: “chase & status flashing lights”. And I can’t embed video here because of license, but click to the picture and you will see another strange video. I hope you enjoy it, bye now. Raimundas Tumėnas 

Fractal: Harmony Theme (Moby - Inside)

 

Hello to everyone.

I want to present my new clip for you, which is a bit different from others and as you will see – is a bit slower and harmonized. That happened not by accident, but because I picked up Moby – Inside music for my clip in a first place and as you may know that sounds harmonizing and relaxing. So I applied my clip according to the sound. I hope you enjoy it :) Bye now. Raimundas Tumėnas

Spinning Arround Fractal 3

I started to continue of making short fractal clips just about 1 min. period of time. Because in order to create 15 min long clip would be needed about 3 or 4 weekends (from early morning until late evening or night I should say :) and that is absurd (to sit near computer for so long!). When I’m creating these clips I don’t have an idea how that video would be developed, that idea comes after some time. Very often after making the video, I don’t know what kind of name to give for my clip, because I don’t have theme about what that clip should be, it just goes along and became some kind of abstract (so don’t blame me if you will be disappointed that I’m not trying to explain :)

Music is one of the most difficult things to choose. First of all, I’m developing the clip from pictures and just after that I’m trying to find the best music, which could fit for my video in order for some kind of synchronicity.

I’m a big fan of Trentemoller & Royksopp and, first of all, I listening their music, but at this time I picked up the remix of Moby: ”moby lie down in darkness (document one remix)” and just in the very end I started to make video according to that sound. BTW, this clip reminds me to “Hexagon Brawl Fractal”, but that is better to me at least. Enjoy :) Raimundas Tumėnas 

Hexagon Brawl Fractal

As usual, in every clip I’m making something new and in this particular, you will see fractals movements in hexagon geometrical shape. So from now on you might not wonder why part of the clip name is hexagon.
The music has been selected when I made the clip and is called: “Juno Reactor  - Burly Brawl”.
It makes effect of some kind of urging that if one fractal movement won’t do something in time, then something will fail :) Is difficult to describe this kind of movement but it reminds me domino effect or some kind of labyrinth with doors and for each of them a different key is needed. I would not wonder if you think that kind of describing could remind the Matrix movie also because that music has been selected from that movie :) Raimundas Tumėnas

Spinning Around 2

This kind of clip is the continuation of the making short clips. This clip is much faster than other three, and a bit different from others. So in other words I can say that from this clip I have changed a direction of making fractal objects, because the movement became much faster and the pictures (on the screen) started to interact with each other and the movement of one picture/fractal started to depend to other (well, in most cases at least :)

First I created the movement of the fractal objects and then started to search the music which could fit to my clip. If someone is interested, the music is called: “Pendulum - The Island (pt ii dusk dj edit)" and the music  from part 1 (which did not let me to embed it here) is named: "Juno Reactor - Giant".
And here is a screenshot form part 1...

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Abstract Fractal

There has been a period, when I have not internet quite a long time & had a lot of free time, but not many pictures and I decided to start creating a short fractal clips because I listened good music, which just stirred my blood and this video appeared like that.

For me this clip is the worst, but I like this music :) so added this a little bit “draft” version, and “opened the doors” to short clips (about 1 min. long).

The music in this particular clip is also from Trentemoller LateNightTales album: “Thee Oh See’s – Ghost in The Trees”. Raimundas Tumėnas 

Darkness Falls - Noise On The Line. Mixed by Trentemoller (Love Song :)

The music of this particular clip has been cutted from Trentemoller album LateNightTales andd this video also has been made from my pictures and I changed the hue for each picture in order to make clip unique :)

This clip (its speed, movement synchronicity and so on) has been created according to the music track and I spent for creating this clip (only, if we discount time, which was needed for editing pictures)  just about a few hours. Raimundas Tumėnas 

Fractal of the tree

This is my first clip (Fractal of the tree). And as you can see (if you compare with others), at the beginning video is a little bit boring (music is also very odd (to many people I guess), but  hat’s good for me :) and after some time you can see how clip is developing to the better way (I think :)

In my personal opinion, despite the fact, that this video is my first one, but is the best (now, at least) because it is considered from the pictures, which I have done and, because of that, it has some kind of authenticity. Others have been made from abstract wallpapers.

If some one are interested in how much time did I spend for creating the clip,  no problem,  I 'll tell you – two days, because that was new to me, but, anyway, that is fun ;) Raimundas Tumėnas