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.

Sorcery's Mirror

"Such would be the successive phases of the image: it is the reflection of a profound reality; it masks and denatures a profound reality; it masks the absence of a profound reality; it has no relation to any reality whatsoever: it is its own pure simulacrum. In the first case, the image is a good appearance - representation is of the sacramental order. In the second, it is an evil appearance - it is of the order of maleficence. In the third, it plays at being an appearance - it is of the order of sorcery. In the fourth, it is no longer of the order of appearances, but of simulation. [...] It is the fantasy of seizing reality live that continues—ever since Narcissus bent over his spring. Surprising the real in order to immobilize it, suspending the real in the expiration of its double. [...] Nothing is wholly obvious without becoming enigmatic. Reality itself is too obvious to be true."

- Jean Baudrillard (1929 - 2007)

Spiritual Harmony

"The more abstract is form, the more clear and direct is its appeal. In any composition the material side may be more or less omitted in proportion as the forms used are more or less material, and for them substituted pure abstractions, or largely dematerialized objects. The more an artist uses these abstracted forms, the deeper and more confidently will he advance into the kingdom of the abstract. And after him will follow the gazer at his pictures, who also will have gradually acquired a greater familiarity with the language of that kingdom.

...

Form alone, even though totally abstract and geometrical, has a power of inner suggestion. A triangle (without the accessory consideration of its being acute- or obtuse-angled or equilateral) has a spiritual value of its own. In connection with other forms, this value may be somewhat modified, but remains in quality the same. The case is similar with a circle, a square, or any conceivable geometrical figure.

...

Every form is as sensitive as a puff of smoke, the slightest breath will alter it completely. This extreme mobility makes it easier to obtain similar harmonies from the use of different forms, than from a repetition of the same one; though of course an exact replica of a spiritual harmony can never be produced. So long as we are susceptible only to the appeal of a whole composition, this fact is of mainly theoretical importance. But when we become more sensitive by a constant use of abstract forms (which have no material interpretation) it will become of great practical significance."

- Wassily Kandinsky (1866 - 1944)

Primordial Ideas

"Colors are primordial ideas,
children of the aboriginal colorless light
and its counterpart, colorless darkness Light,
that first phenomenon of the world, reveals
to us the spirit and the living soul
of the world through colors.

...

Color is life, for a world without color seems dead.
As a flame produces light, light produces color.
As intonation lends color to the spoken word,
color lends spiritually realized sound to a form.
...
Between black and white there throbs the
universe of chromatic phenomena."

- Johannes Itten (1888 - 1967)

Platonic Forms

"And now look again, and see what will naturally follow if the prisoners are released and disabused of their error. At first, when any of them is liberated and compelled suddenly to stand up and turn his neck round and walk and look towards the light, he will suffer sharp pains; the glare will distress him, and he will be unable to see the realities of which in his former state he had seen the shadows; and then conceive some one saying to him, that what he saw before was an illusion, but that now, when he is approaching nearer to being and his eye is turned towards more real existence, he has a clearer vision. [...] Will he not fancy that the shadows which he formerly saw are truer than the objects which are now shown to him? [...] He will require to grow accustomed to the sight of the upper world. And first he will see the shadows best, next the reflections of men and other objects in the water, and then the objects themselves; then he will gaze upon the light of the moon and the stars and the spangled heaven; and he will see the sky and the stars by night better than the sun or the light of the sun by day. [...] Last of all he will be able to see the sun, and not mere reflections of him in the water, but he will see him in his own proper place, and not in another; and he will contemplate him as he is. [...] This entire allegory you may now append, dear Glaucon, to the previous argument; the prison-house is the world of sight, the light of the fire is the sun, and you will not misapprehend me if you interpret the journey upwards to be the ascent of the soul into the intellectual world according to my poor belief, which, at your desire, I have expressed - whether rightly or wrongly God knows. But, whether true or false, my opinion is that in the world of knowledge the idea of good appears last of all, and is seen only with an effort; and, when seen, is also inferred to be the universal author of all things beautiful and right, parent of light and of the lord of light in this visible world, and the immediate source of reason and truth in the intellectual; and that this is the power upon which he who would act rationally, either in public or private life, must have his eye fixed."

- Plato (c.424 - 348 BC)
"The Allegory of the Cave" (Republic, Book Seven) 

Gentle Pulsing

"Over this great expanse there is no disturbance but it is thus at once gently smoothed away and assuaged, as, when a vase of water is jarred, the trembling circles seek the shore and all is smooth again. Not a fish can leap or an insect fall on the pond but it is thus reported in circling dimples, in lines of beauty, as it were the constant welling up of its fountain, the gentle pulsing of its life, the heaving of its breast. The thrills of joy and thrills of pain are undistinguishable. How peaceful the phenomena of the lake! Again the works of man shine as in the spring. Ay, every leaf and twig and stone and cobweb sparkles now at mid-afternoon as when covered with dew in a spring morning."

- Henry David Thoreau (1817 - 1862)
Walden

Present Memories

"We do not experience time flowing, or passing. What we experience are differences between our present perceptions and our present memories of past perceptions. We interpret those differences, correctly, as evidence that the universe changes with time. We also interpret them, incorrectly, as evidence that our consciousness, or the present, or something, moves through time."

- David Deutsch (1953 - )
The Fabric of Reality

Hieroglyphic Apparitions

 "Every man's condition is a solution in hieroglyphic to those inquiries he would put. He acts it as life, before he apprehends it as truth. In like manner, nature is already, in its forms and tendencies, describing its own design. Let us interrogate the great apparition, that shines so peacefully around us. Let us inquire, to what end is nature?"

- Ralph Waldo Emerson (1803 - 1882)
Nature

The Mysticism of Numbers

"When a man counts one, two, three,
he is not only doing mathematics, he is
on the path to the mysticism of numbers
in Pythagoras and Vitruvius and Kepler,
to the Trinity and the signs of the Zodiac."

- Jacob Bronowski (1908 - 1974)

Quantum Foam

"All the elements were there: the frozen feeling bubbling up and permeating my body like quantum foam fizzing up to engulf the fragmenting mind, the feeling of acceleration, my dissolving self urging me to let go, to surrender, as I was sucked into the visionary maelstrom. … The experience was far more austere ... Reality is a hallucination generated by the brain to help make sense of our being; it is made of fragments of memory, associations, ideas, people you remember, dreams you’ve had, things you’ve read and seen, all of which is somehow blended and extruded into something resembling a coherent conscious narrative, the hallucination we call “experience.” Dimethyltryptamine rips back the curtain to show the raw data before it has been processed and massaged. There is no comforting fiction of coherent consciousness; one confronts the mindless hammering of frenzied neurochemistry"

- Ralph Metzner (1936 - 2019)
The Toad and the Jaguar

Inner Sound

"Form itself,
even if completely abstract...
...has its own inner sound."

- Wassily Kandinsky (1866 - 1944)

Cymatic Urphänomen

"She [nature] is the sole artist, creating extreme contrast out of the simplest material, the greatest perfection seemingly without effort, the most definite clarity always veiled with a touch of softness. Each of her works has its own being, each of her phenomena its separate idea, and yet all create a single whole."

- Johann Wolfgang von Goethe (1749 - 1832)
 The Metamorphosis of Plants

"The notion of the Urphanomen is an invaluable illustration of the concrete nature of Goethe's way of thinking which dwells in the phenomenon. The primal phenomenon is not to be thought of as a generalization from observations, produced by abstracting from different instances something that is common to them. If this were the case, one would arrive at an abstracted unity with the dead quality of a lowest common denominator. For Goethe, the primal phenomenon was a concrete instance - what he called 'an instance worth a thousand, bearing all within itself.' In a moment of intuitive perception, the universal is seen within the particular, so that the particular instance is seen as a living manifestation of the universal. What is merely particular in one perspective is simultaneously universal in another way of seeing. In other words, the particular becomes symbolic of the universal."

- Henri Bortoft (1938 - 2012)

The Wholeness of Nature

Photographer's note. To help contextualize the relevance of the quotes, I need to point out that the image above contains three (out of a total of about 24) "snapshot" views of a single unfolding cymatic process. Not only does the triptych show only a tiny fraction of what my eye saw through the viewfinder, but the apparent sharpness of the images also belies the frenetic swirling and rhythmic thrashing of the water because my relatively slow 1/40th sec to 1/60th sec exposures smear over finely detailed patterns. But, while we may be unable to "see" the cymatic Urphanomen in its full splendor (and, even if we could, perhaps would understand as little as does Philip K Dick's "electric ant" after it tries seeing all of reality at once), "each of her works has its own being, each of her phenomena its separate idea, and yet all create a single whole." 

Ineffable Flow

"Water flows, clouds move,
never stopping or settling down.
When the wind blows, the leaves fall.
Like the fish swimming
or the birds flying,
I walk and walk,
going on and on."

- Santōka Taneda (1882 - 1940)

The Sensation of the Mystical

"The most beautiful and most profound emotion that we can experience is the sensation of the mystical. It is the source of all true science. He to whom this emotion is a stranger, who can no longer wonder and stand rapt in awe is as good as dead. To know that what is impenetrable to us really exists, manifesting itself as the highest wisdom and the most radiant beauty which our dull faculties can comprehend only in their most primitive forms - this knowledge, this feeling, is at the center of true religiousness. My religion consists of a humble admiration of the illuminable superior who reveals himself in the slightest details we are able to perceive with our frail and feeble minds. That deeply emotional conviction for the presence of a superior reasoning power, which is revealed in the incomprehensible universe, forms my idea of God."

- Albert Einstein (1879 - 1955)

Habitual Gestures

Making art … means working in the face of uncertainty; it means living with doubt and contradiction doing something no one much cares whether you do, and for which there may be neither audience nor reward. Making the work you want to make means setting aside these doubts so that you may see clearly what you have done, and thereby see where to go next. Making the work you want to make means finding nourishment within the work itself.

...
Your desire to make art,

beautiful or meaningful or emotive art,
is integral to your sense of who you are.

...

Viewed closely, however, style is not a virtue, it is an inevitability, the inescapable result of doing anything more than a few times. The habitual gestures of the artist appear throughout any body of work developed enough to be called a body of work. Style is not an aspect of good work, it is an aspect of all work. Style is the natural consequence of habit."

- David Bayles (1952 - ) and Ted Orland (1941 - )
Art & Fear

Psychic Structure

"We cannot discover ourselves without first discovering the universe, the earth, and the imperatives of our own being. Each of these has a creative power and a vision far beyond any rational thought or cultural creation of which we are capable. Nor should we think of these as isolated from our own individual being or from the human community. We have no existence except within the earth and within the universe.

...

Beyond our genetic coding, we need to go to the earth, as the source from which we came, and ask for its guidance, for earth carries the psychic structure as well as the physical form of every living being on the planet.

...

Ultimately, our guidance on any significant issue must emerge from this comprehensive source. … This source is not distinct from us. The universe is so immediate to us, is such an immediate presence, that it escapes our notice, yet whatever authentically exists in our cultural creations is derived from these spontaneities within us, spontaneities that come from an abyss of energy and a capacity for intelligible order of which we have only the faintest glimmer in our conscious awareness."

Thomas Berry (1914 - 2009)
The Dream of The Earth

Perceived Geometries #2

"Euclid alone has looked on Beauty bare.

Let all who prate of Beauty hold their peace,

And lay them prone upon the earth and cease

To ponder on themselves, the while they stare

At nothing, intricately drawn nowhere

In shapes of shifting lineage; let geese

Gabble and hiss, but heroes seek release

From dusty bondage into luminous air.

O blinding hour, O holy, terrible day,

When first the shaft into his vision shone

Of light anatomized! Euclid alone

Has looked on Beauty bare. Fortunate they

Who, though once only and then but far away,

Have heard her massive sandal set on stone."

- Edna St. Vincent Millay (1892 - 1950)

Perceived Geometries #1

"It is well known that geometry presupposes not only the concept of space but also the first fundamental notions for constructions in space as given in advance. It only gives nominal definitions for them, while the essential means of determining them appear in the form of axioms. The relationship of these presumptions is left in the dark; one sees neither whether and in how far their connection is necessary, nor a priori whether it is possible. From Euclid to Legendre, to name the most renowned of modern writers on geometry, this darkness has been lifted neither by the mathematicians nor the philosophers who have labored upon it."

- Bernhard Riemann (1826 - 1866)

"The division of the perceived universe
into parts and wholes is convenient
and may be necessary,
but no necessity determines
how it shall be done.""

- Gregory Bateson (1904 - 1980)

Eyes of the Dreamer

"Life is not merely what it seems to be.

Hidden from our eyes by the cloak

of materiality is a wonderful world

which only the eyes of the dreamer can see

and the soul of the mystic comprehend.

...

...silence is the root of sound,
and from it pours forth the fiat
that fashioned the world.
This is the dynamic silence of creation,
the tremendous dramatic silence of
new birth forever taking place-
new worlds forever fashioning.

...

To those capable of seeing the
light of these spiritual orbs,
there is no darkness,
for they dwell in the presence of
limitless light and at midnight see
the sun shining under their feet."

- Manly Hall (1901 - 1990)

Divisible Space

"We are not to consider the world as the body of God, or the several parts thereof as the parts of God. He is a uniform Being, void of organs, members or parts,...being everywhere present to the things themselves. And since space is divisible in infinitum, and matter is not necessarily in all places, it may also be allowed that God is able to create particles of matter of several sizes and figures, and in several proportions of space, and perhaps of different densities and forces, and thereby to vary the laws of Nature, and make worlds of several sorts in several parts of the Universe. At least I see nothing of contradiction in this."

- Isaac Newton (1643 - 1727)

Note. The triptych contains "quick grabs" (using my iPhone) of the skylights near Gate 4 of the Bangor, Maine airport while waiting for our plane to return back home (to Northern VA) after viewing the total eclipse on April 8. While I did not take any images of the eclipse (I just wanted to just "be in the moment"), the little black spheres in the skylight reminded me a little of that experience and caught my eye 😊