Recursive Centers

"Let man then contemplate the whole of nature in her full and grand majesty, and turn his vision from the low objects which surround him. Let him gaze on that brilliant light, set like an eternal lamp to illumine the universe; let the earth appear to him a point in comparison with the vast circle described by the sun; and let him wonder at the fact that this vast circle is itself but a very fine point in comparison with that described by the stars in their revolution round the firmament.

But if our view be arrested there, let our imagination pass beyond; it will sooner exhaust the power of conception than nature that of supplying material for conception. The whole visible world is only an imperceptible atom in the ample bosom of nature. No idea approaches it. We may enlarge our conceptions beyond all imaginable space; we only produce atoms in comparison with the reality of things.

It is an infinite sphere, the centre of which is everywhere, the circumference nowhere. In short it is the greatest sensible mark of the almighty power of God, that imagination loses itself in that thought.

...

For after all what is man in nature? A nothing in relation to infinity, all in relation to nothing, a central point between nothing and all and infinitely far from understanding either. The ends of things and their beginnings are impregnably concealed from him in an impenetrable secret. He is equally incapable of seeing the nothingness out of which he was drawn and the infinite in which he is engulfed."

- Blaise Pascal (1623 - 1662)

Cosmogonic Philosophy

"Like some of the most ancient and some of the most recent speculations it would be a Cosmogonic Philosophy. It would suppose that in the beginning - infinitely remote - there was a chaos of impersonated feeling, which being without connection or regularity would properly be without existence. This feeling, sporting here and there in pure arbitrariness, would have started the germ of a generalizing tendency. Its other sportings would be evanescent, but this would have a growing virtue. Thus, the tendency to habit would be started; and from this with the other principles of evolution all the regularities of the universe would be evolved. At any time, however, an element of pure chance survives and will remain until the world becomes an absolutely perfect, rational, and symmetrical system, in which mind is at last crystallized in the infinitely-distant future."

- Charles Saunders Peirce (1839 - 1914)
The Architecture of Theories

Unity in Multiplicity

"If we want to know what the mathematicians mean by a continuum, it is useless to appeal to geometry. The geometer is always seeking, more or less, to represent to himself the figures he is studying, but his representations are only instruments to him; he uses space in his geometry just as he uses chalk; and further, too much importance must not be attached to accidents which are often nothing more than the whiteness of the chalk. [...] The continuum thus conceived is no longer a collection of individuals arranged in a certain order, infinite in number, it is true, but external the one to the other. This is not the ordinary conception in which it is supposed that between the elements of the continuum exists an intimate connection making of it one whole, in which the point has no existence previous to the line, but the line does exist previous to the point. Multiplicity alone subsists, unity has disappeared—‘the continuum is unity in multiplicity,’ according to the celebrated formula. [...] Mathematicians do not study objects, but the relations between objects; to them it is a matter of indifference if these objects are replaced by others, provided that the relations do not change. Matter does not engage their attention, they are interested by form alone."

- Henri Poincare (1854 - 1912)

Harmonic Order

"For every mixture, if it is rightly made, as Socrates says, requires these three things, beauty, truth, and symmetry. For neither will any thing base, if it is introduced into the mixture, impart rectitude, since it will be the cause of error, and of inordinate prerogative, nor if truth is at any time separated, will it suffer the mixture to consist of things that are pure, and which are in reality subdued, but it will fill the whole with an image and with non-being. Nor without symmetry will there be a communion of the elements, and an elegant association. Symmetry, therefore, is necessary to the union of the things that are mingled, and to an appropriate communion. But truth is necessary to purity. And beauty to order; which also renders the whole lovely. For when each thing in the mixture has a place adapted to itself, it renders both the elements, and the arrangement resulting from them, beautiful. Here therefore, in the first mixture, these three things are apparent, symmetry, truth, and beauty. And symmetry indeed is the cause to the mixture, that being is one; truth is the cause of the reality of its existence; and beauty is the cause of its being intelligible. Hence it is intelligible and truly being."

- Proclus Lycius (412 – 485)

Note. This remarkable geometry is what meets the gaze of anyone who looks up at the Adolfo Suárez Madrid–Barajas Airport in Spain. We were racing through the airport to get to our flight from Madrid to Galicia last month (to watch the eclipse), my iPhone managed to catch a few vies of the beautiful overhead design in Madrid. Next to the Escher-like ceiling at the international terminal in Auckland, New Zealand, Madrid, this is among my all time favorites.

Recursive Gallery

"Zeus himself could not undo the web
of stone closing around me,
I have forgotten the men I was before;
I follow the hated path of monotonous walls
that is my destiny. Severe galleries
which curve in secret circles
to the end of the years. Parapets
cracked by the day’s usury.
In the pale dust I have discerned
signs that frighten me. In the concave
evenings the air has carries a roar

toward me, or the echo of a desolate howl.

I know there is an Other in the shadows,

whose fate it is to wear out the long solitudes

which weave and unweave this Hades

and to long for my blood and devour my death.
Each of us seeks the other.
If only this were the final day of waiting."

- Jorge Luis Borges (1899 - 1986)
"The Labyrinth" in Borges: Selected Poems

Shared Essence

"The spiritual source shines clear in the light;

the branching streams flow on in the dark.

Grasping at things is surely delusion;

according with sameness is still not enlightenment.

All the objects of the senses

interact and yet do not.

Interacting brings involvement.

Otherwise, each keeps its place.

Sights vary in quality and form,

sounds differ as pleasing or harsh.

Refined and common speech come together in the dark,

clear and murky phrases are distinguished in the light.

The four elements return to their natures

just as a child turns to its mother.

Fire heats, wind moves,

water wets, earth is solid.

Thus with each and every thing,

depending on these roots, the leaves spread forth.

Trunk and branches share the essence;

revered and common, each has its speech.

...

In the light there is darkness,

but don’t take it as darkness;

in the dark there is light,

but don’t see it as light.

Light and dark oppose one another

like front and back foot in walking.

Each of the myriad things has its merit,

expressed according to function and place.

Phenomena exist, like box and lid joining;

principle accords, like arrow points meeting."

- Shitou Xiqian (700–790)

Overtones and Vibrations

"String theory is an attempt at a deeper description of nature by thinking of an elementary particle not as a little point but as a little loop of vibrating string. One of the basic things about a string is that it can vibrate in many different shapes or forms, which gives music its beauty. If we listen to a tuning fork, it sounds harsh to the human ear. And that’s because you hear a pure tone rather than the higher overtones that you get from a piano or violin that give music its richness and beauty.

So in the case of one of these strings it can oscillate in many different forms - analogously to the overtones of a piano string. And those different forms of vibration are interpreted as different elementary particles: quarks, electrons, photons. All are different forms of vibration of the same basic string. Unity of the different forces and particles is achieved because they all come from different kinds of vibrations of the same basic string."

- Edward Whitten (1951 - )

Universal Consciousness

"A spiritual evolution, an evolution of consciousness in Matter in a constant developing self-formation till the form can reveal the indwelling spirit, is then the keynote, the central significant motive of the terrestrial existence. This significance is concealed at the outset by the involution of the Spirit, the Divine Reality, in a dense material Inconscience; a veil of Inconscience, a veil of insensibility of Matter hides the universal Consciousness-Force which works within it, so that the Energy, which is the first form the Force of creation assumes in the physical universe, appears to be itself inconscient and yet does the works of a vast occult Intelligence.
...
They are the seven colours of the light of the divine consciousness, the seven rays of the Infinite, and by them the Spirit has filled in on the canvas of his self-existence conceptually extended, woven of the objective warp of Space and the subjective woof of Time, the myriad wonders of his selfcreation great, simple, symmetrical in its primal laws and vast framings, infinitely curious and intricate in its variety of forms and actions and the complexities of relation and mutual effect of all upon each and each upon all. These are the seven Words of the ancient sages; by them have been created and in the light of their meaning are worked out and have to be interpreted the developed and developing harmonies of the world we know and the worlds behind of which we have only an indirect knowledge. The Light, the Sound is one; their action is sevenfold."

- Sri Aurobindo (1872 - 1950)
The Life Divine

Mystery of the Infinite

"When the King conceived ordaining

He engraved engravings in the luster on high.
A spark of impenetrable darkness flashed
within the Concealed of the Concealed
from the mystery of the Infinite,
a cluster of vapor in formlessness
set in a ring, not white,
not black, not red, not green, no color at all.
As a cord surveyed, it yielded radiant colors.
Deep within the spark gushed a flow
imbuing colors below,
concealed within the concealed of the mystery of the Infinite.
The flow broke through and did not break through its aura.
It was not known at all until,
under the impact of breaking through,
one high and hidden point shone.
Beyond that point, nothing is known."

- "Creation of Elohim," Zohar

Cosmogenic Vision

"If you analyze cave art ... there are so many details that make it clear that this was an art of altered states of consciousness, of visions. And plants like the amanita muscaria mushroom and psilocybin mushrooms appear to have been directly connected with this sudden and radical change. So to investigate this possibility when I got interested in this mystery, I went down to the Amazon where there are still surviving shamanistic cultures today, and where they drink the powerful visionary brew: ayahuasca, of which the active ingredient is dimethyltryptamine (DMT) which is actually closely related at the molecular level to psilocybin. [...] And one of those effects has to do with creativity, and we can see the creative cosmogenic impulse of ayahuasca in the paintings of Ayahuasca Shamans from Peru, like the paintings of Pablo Amaringo ... those richly saturated colors, they’re amazing visions that they reproduce. [...] And as these paintings show, another universal experience of ayahuasca is the encounter with seemingly intelligent entities which communicate with us telepathically."

- Graham Hancock (1950 - )
The War on Consciousness

Supernatural Visions

"In the last few decades, a new kind of art has been striking natives and tourists of Peruvian Amazonia with great wonder and enchantment: ayahuasca‑inspired visionary art. This very original iconography emerges directly from the artists’ visionary experience under the effect of the ayahuasca brew. [...] With the use of figurative techniques, sometimes learned in art schools or developed autonomously, mestizo visionary artists manage to translate and share their colorful supernatural visions with a much wider public than that directly involved with ayahuasca shamanism. One of the most important effects of this translation, in my view, is to render visible the invisible dynamics of shamanic worlds, even to untrained eyes. [...] This art functions as a shining window to the spiritual worlds of ayahuasca shamanism, translating the multidimensional and extraordinary visions to our more familiar realm of everyday iconic images."

- Vinícius Dino, Visionary Art in Peruvian Amazonia:
The Power of Images and Translation Effects

Other Minds

"Our normal waking consciousness, rational consciousness as we call it, is but one special type of consciousness, whilst all about it, parted from it by the filmiest of screens, there lie potential forms of consciousness entirely different. [...] We may go through life without suspecting their existence; but apply the requisite stimulus, and at a touch they are there in all their completeness, definite types of mentality which probably somewhere have their field of application and adaptation. No account of the universe in its totality can be final which leaves these other forms of consciousness quite disregarded. How to regard them is the question - for they are so discontinuous with ordinary consciousness. Yet they may determine attitudes though they cannot furnish formulas, and open a region though they fail to give a map. At any rate, they forbid a premature closing of our accounts with reality."

- William James (1842 - 1910)
The Varieties of Religious Experience

Principial Unity

"All that exists, in whatever mode this may be, necessarily participates in universal principles, and nothing exists except by participation in these principles, which are the eternal and immutable essences contained in the permanent actuality of the Divine Intellect. Consequently, it can be said that all things, however contingent they may be in themselves, express or represent these principles in their own way and according to their order of existence, for otherwise they would be purely and simply nothingness. Thus, from one order to another, all things are linked together and correspond, to come together in total and universal harmony, for harmony is nothing other than the reflection of principial unity in the manifested world."

- René Guénon (1886 - 1951)

Enchanted Spirits

"Emerson said that a library is a magic chamber in which there are many enchanted spirits. They wake when we call them. When the book lies unopened, it is literally, geometrically, a volume, a thing among things. When we open it, when the book surrenders itself to its reader, the aesthetic event occurs. And even for the same reader the same book changes, for the change; we are the river of Heraclitus, who said that the man of yesterday is not the man of today, who will not be the man of tomorrow. We change incessantly, and each reading of a book, each rereading, each memory of that rereading, reinvents the text. The text too is the changing river of Heraclitus."

- Jorge Luis Borges (1899 - 1986)
Seven Nights

In the Heart of the Spirit

 "In our hearts there burns a fire...
That burns all veils to their root and foundation
When those veils have been burned away
Then the heart will understand completely.
Ancient love will unfold ever-fresh forms
In the heart of the Spirit,
In the core of the heart."

- Rumi (1207 - 1273)

Illusory Categories

"The further we penetrate into the submicroscopic world, the more we shall realize how the modern physicist, like the Eastern mystic, has come to see the world as a system of inseparable, interacting and ever‑moving components with man being an integral part of this system.

...

Quantum theory thus reveals a basic oneness of the universe. It shows that we cannot decompose the world into independently existing smallest units. As we penetrate into matter, nature does not show us any isolated ‘basic building blocks,’ but rather appears as a complicated web of relations between the various parts of the whole. These relations always include the observer in an essential way.

...

Our tendency to divide the perceived world into individual and separate things and to experience ourselves as isolated egos in this world is seen as an illusion which comes from our measuring and categorizing mentality. [...] all things and events perceived by the senses are interrelated, connected, and are but different aspects or manifestations of the same ultimate reality."

- Fritjof Capra (1939 - )
The Tao of Physics

Temples of the Sun

"The loftiest object of their worship was Light, represented by the Sun. Hence they built pyramidal Temples of the Sun. [...]

...

The Great Pyramid! Both, built in Atlantean times, stand as distinctive marks of the mysterious continent, and remain as mute legacies from a race of people who have departed as mysteriously as their own land. Both remind the successors of the Atlanteans of the glories of that lost civilization.

...

Light is the subtlest, most intangible of things which man can register by means of one of his five senses. It is the most ethereal kind of matter which he knows. It is the most ethereal element science can handle, and even the various kinds of invisible rays are but variants of light which vibrate beyond the power of our retinas to grasp."

- Paul Brunton (1898 - 1981)
A Search in Secret Egypt

Simple Light

"Know that before the emanations were emanated and the created was created, a supreme simple light filled all reality, so that there was no free place at all in the sense of an empty, hollow space, but everything was filled with that simple light of the En Sof. [...] And when it ascended in its simple will to create the worlds and emanate the emanations, thereby making the perfection of its works, its names and its attributes knowable, which was the reason for the creation of the worlds [...], the En Sof contracted at the middle point, truly in the middle of its light. It contracted the light and moved away on all sides around the center point. This left a free space around the center point, an empty, hollow space..."

- Isaac Luria (1534 - 1572)
Etz Chaim (Tree of Life)

Quetzal Serpent

 " And then the earth arose because of them, it was simply their word that brought it forth. For the forming of the earth they said "Earth." It arose suddenly, just like a cloud, like a mist, now forming, unfolding.

...

This is the account of when all is still silent and placid. All is silent and calm. Hushed and empty is the womb of the sky. These, then, are the first words, the first speech. There is not yet one person, one animal, bird, fish, crab, tree, rock, hollow, canyon, meadow, or forest. All alone the sky exists. The face of the earth has not yet appeared. Alone lies the expanse of the sea, along with the womb of all the sky. There is not yet anything gathered together. All is at rest. Nothing stirs. All is languid, at rest in the sky. There is not yet anything standing erect. Only the expanse of the water, only the tranquil sea lies alone. There is not yet anything that might exist. All lies placid and silent in the darkness, in the night. All alone are the Framer and the Shaper, Sovereign and Quetzal Serpent, They Who Have Borne Children and They Who Have Begotten Sons. Luminous they are in the water, wrapped in quetzal feathers and cotinga feathers. Thus they are called Quetzal Serpent. In their essence, they are great sages, great possessors of knowledge."

- Popol Vuh

Plato's Cave

"Plato's Cave" Portfolio

"Before all the wondrous shows of the widespread space around him, what living, sentient thing loves not the all-joyous light - with its colors, its rays and undulations, its gentle omnipresence in the form of the wakening Day? [...] Aside I turn to the holy, unspeakable, mysterious Night. Afar lies the world - sunk in a deep grave - waste and lonely is its place. [...] More heavenly than those glittering stars we hold the eternal eyes which the Night hath opened within us. Farther they see than the palest of those countless hosts - needing no aid from the light, they penetrate the depths of a loving soul - that fills a loftier region with bliss ineffable. [...] No longer was the Light the abode of the gods, and the heavenly token of their presence - they drew over themselves the veil of the Night. The Night became the mighty womb of revelations - into it the gods went back - and fell asleep, to go abroad in new and more glorious shapes over the transfigured world. "

- Novalis (1772 - 1801)
Hymns to the Night

Postscript. Clicking on the image at the top will take you to a new Plato's Cave portfolio in my web gallery. For those of you who have not already guessed at how these images have been created (I posted the first in the series a few weeks ago with the heading, Platonic Forms), the title (and reference) will be obvious from the process: I shine thin beams of light (using one, two, or three flexible gooseneck LEDs with magnetic bases secured to a metal plate for stability) through a wide assortment of glass and acrylic geometric forms (squares, prisms, pyramids, circles, spheres, etc.) ranging in size from a quarter of an inch to about three or four inches and of varying translucency and color (the color of most forms depends on the direction of light that hits their surface), and photograph the most "pleasing combinations" of the resulting clusters of lights and shadows that appear on a black matte board pitched vertically some distance beyond where the LEDs are stationed. Note that while the images look noisy, it is not actual "noise" you are seeing, but rather the impression of noise due to the collective specular and diffuse reflections of light off the matte board's imperfectly speckled surface. 

Apart from my delight in being able to use this technique to explore a part of the abstract aesthetic latent space pioneered by László Moholy-Nagy, Itten, Kandinsky, Klee, Robert & Sonia Delaunay, and explored by my dad in his later years (albeit, in my case, on a woefully amateurish level compared to these extraordinary artists), I am intrigued conceptually, philosophically even, by how blatantly it blurs the distinction between traditional art and photography. I say this because for this series photography plays only a minor (and least important) role! Arranging and discovering a "pleasing configuration" of lights and forms requires a lot of time and patience. It typically takes me about 20-30 min to find a single geometry worth taking an image of. Indeed, the process of choosing the type and number of shapes, adjusting the light's intensity, direction, and the beam size, and making the myriad small changes (during which I often have to start from scratch because an arrangement is simply "not working") needed to gradually sculpt (reveal?) a "pleasing geometry" - for which the final "shot" is almost an afterthought - is arguably more akin to making art than doing photography!

My lifelong fascination with the blurred distinction between art and photography has directly fueled my experiments in abstraction, wherein I deliberately try to tease apart (disentangle?) the creative tension between finding abstract patterns vs. creating them. Individual projects all follow their own style and rhythm. For example, for my Synesthscapes series, I search for patterns in what are essentially "fixed" environments (e.g., natural light refracting/reflecting through a rum bottle); for my Swirls, Whorls, and Tendrils series, I create singular "worlds" made up of ink and water, which I then photograph whatever time-slice of it proves to be sufficiently interesting; my perpetual winter passion to find ice abstracts consists of exactly that, finding patterns that nature herself has already produced; my light abstracts emerge from fixed geometries of light filaments and intentional random camera movements, wherein I decide whether an image is "good enough" to keep only after taking the photograph; and Cymatiscapes require little more of me than to choose a vessel type and size (e.g., a small soy sauce dish) and a vibration frequency before clicking the shutter in my camera's burst mode; I tend to think of this series (which I love!) as neither art nor photography (at least in the traditionally creative sense) and merely as an archive of my having observed something interesting. But, compared to all of these earlier experiments, the process of creating - literally, creating - images for Plato's Cave is obviously on an entirely different level! Of course, in the most fundamental sense, distinctions between art and photography (and, as someone has commented below) between art and life, are not just blurred, they are entirely illusory.