Effulgent Forms

"That inner Self, as the primeval Spirit, Eternal, ever effulgent, full and infinite Bliss, Single, indivisible, whole and living, Shines in everyone as the witnessing awareness. That self in its splendor, shining in the cavity of the heart This self is neither born nor dies, Neither grows nor decays, Nor does it suffer any change. When a pot is broken, the space within it is not, And similarly, when the body dies the Self in it remains eternal."

- Ramana Maharshi (1879 - 1950)

Between Grief and Geometry

"Geometry is a way to organize our models of the world, its shapes and dynamics. But isn’t this all contingent, balanced on a knife’s edge? Could our models have turned out very differently? If the fractal geometry of Mandelbrot had been discovered before the geometry of Euclid, would manufacture be the same? If you think the question is far-fetched, consider the iterated branching of our pulmonary, circulatory, and nervous systems, or the recursive folding of our DNA, or the large surface area and small volume of our lungs and our digestive tract. Evolution has discovered and uses fractal geometry. If people had looked more closely at the geometry of nature, rather than emulating the 'celestial perfection' imposed by the church’s interpretation of the works of Euclid and Aristotle, our constructions could be very different now.

...

Beauty is a bridge between grief and geometry.

...

Beauty and grief are next-door neighbors, or maybe grief is beauty in a dark mirror… To see beauty is to glimpse something deeper; to grieve is to glimpse a loss whose consequences we will not unpack for years, and maybe never. The beauty of geometry likewise involves great emotional weight, irreversibly alters our perceptions, and is transcendent. For we don’t see all of geometry, only a hint, a shadow of something much deeper."

- Michael Frame (1951 - )
Geometry of Grief

Harmony of Autumnal Colors

"When the eye sees a color it
is immediately excited,
and it is its nature,
spontaneously and of necessity,
at once to produce another,
which with the original colour
comprehends the whole chromatic scale.
A single color excites,
by a specific sensation,
the tendency to universality.
In this resides the fundamental
law of all harmony of colors.
...

Should your glance on mornings lovely

Lift to drink the heaven's blue

Or when sun, vieled by sirocco,

Royal red sinks out of view -

Give to Nature praise and honour.

Blithe of heart and sound of eye,

Knowing for the world of color

Where its broad foundations lie."

- Johann Wolfgang von Goethe (1749 - 1832)

Serendipitous Geometry

"The artist is a collector of things imaginary or real. He accumulates things with the same enthusiasm that a little boy stuffs his pockets. The scrap heap and the museum are embraced with equal curiosity. He takes snapshots, makes notes and records impressions on tablecloths or newspapers, on backs of envelopes or matchbooks. Why one thing and not another is part of the mystery, but he is omnivorous."

- Paul Rand (1914 - 1996)
Paul Rand: A Designer's Art

Postscript. It has been said that the lifeblood of photography is serendipity. While none of the images that make up the triptych above are particularly praiseworthy (beyond, I hope, simply being "interesting" to look at for a a few seconds), the fact that they exist at all is serendipitous. As seems to happen so often, what I planned to photograph and what I found myself photographing this past Sunday are unrelated except that the latter followed naturally - if unpredictably - from the former. Waking up to see a completely overcast sky I rushed to the kitchen to pour a bit of coffee into my commuter cup and took off in my car to go to one of my favorite "cloudy day" parks (Great Falls park in northern VA), about an hour from home. The closer I got to the park, the more "blue sky" was elbowing the clouds away, until, finally, literally as I arrived, the sky had become crystal clear and a strong sun was beating down overhead; far from the quiet diffused light I expected and was rushing over to compose in. Nothing to do but turn around and head back home. Which is what I did, but not before listening to my muse and stopping by the parking lot my wife and I leave our car at when we go to the farmer's market held nearby on Saturdays. Since it was Sunday, the parking lot was deserted, and I had plenty of time to commiserate over a failed trip to Great Falls, rekindle the quiet joy of just being "mindfully in the moment," and rediscover the simple pleasure of looking for "geometric designs" with my camera. As I said, nothing spectacular or noteworthy, and a far cry from what I originally planned to do, but a thoroughly delightful outing nonetheless 😊

Unfolding of the Universe

"We are agents who alter the unfolding of the universe."

- Stuart A. Kauffman (1939 - )

Reinventing the Sacred

"Did I live? The human world is like a vast musical instrument on which we play our individual part while simultaneously listening to the compositions of others in an effort to contribute to the whole. We don't chose whether to engage, only how to; we either harmonize or create dissonance. Our words, our deeds, our very presence create and leave impressions in the minds of others just as a writer makes impressions with their words. Who you are is an unfolding narrative. You came from nothing and will return there eventually. Instead of taking ourselves so seriously all the time, we can discover the playful irony of a story that has never been told in quite this way before."

- Stephen Batchelor (1953 - )

Buddhism Without Beliefs

Ephemeral Sights

"This is life. It is everywhere, and it is here for the taking. I am alive and I know this, now, in a more profound way than when I am doing anything else. These sights are ephemeral, fleeting treasures that have been offered to me and to me alone. No other person in the history of the world, anywhere in all of time and space, has been granted this gift to be here in my place. And I am privileged, through the camera, to take this moment away with me. That is why I photograph."

- Bill Jay (1940 - 2009)

"And so castles made of sand slips into the sea, eventually."

- Jimi Hendrix (1942 - 1970)

"All is ephemeral, both what remembers and what is remembered."

- Marcus Aurelius (121 - 180)   

Order and Chaos

"Einstein's space is no closer to reality than Van Gogh's sky. The glory of science is not in a truth more absolute than the truth of Bach or Tolstoy, but in the act of creation itself. The scientist's discoveries impose his own order on chaos, as the composer or painter imposes his; an order that always refers to limited aspects of reality, and is based on the observer's frame of reference, which differs from period to period as a Rembrandt nude differs from a nude by Manet."

- Arthur Koestler (1905 - 1983)

"Although I am even now still a layman in the area of mathematics, and although I lack theoretical knowledge, the mathematicians, and in particular the crystallographers, have had considerable influence on my work of the last twenty years. The laws of the phenomena around us order, regularity, cyclical repetition, and renewals have assumed greater and greater importance for me. The awareness of their presence gives me peace and provides me with support. I try in my prints to testify that we live in a beautiful and orderly world, and not in a formless chaos, as it sometimes seems."

- M. C. Escher (1898 - 1972)

"Cosmos is a Greek word for the order of the universe. It is, in a way, the opposite of Chaos. It implies the deep interconnectedness of all things. It conveys awe for the intricate and subtle way in which the universe is put together."

- Carl Sagan (1934 - 1996) 

Light Prancing

"The artist’s world is limitless.
It can be found anywhere far from
where he lives or a few feet away.
It is always on his doorstep."

- Paul Strand (1890 - 1976)

Postscript. These images were all captured within minutes of each other in a garage near a local farmer's market this past weekend, as I was waiting for my wife to gather our grocery bags to go shopping. I have written before about how mesmerizing the "abstract cacophony" of shimmering reflections off car's hoods and hubcaps are to a photographer's eye 😊 What is hard to express in words (though I'm obviously trying, obliquely), is how joyful these few minutes' worth of prancing back and forth in-between park cars inevitably are to my soul (I look forward to my "light prancing" almost as much as the delicious recipes my wife cooks up with what we gather at the market!) My only regret (as usual) is that all I had with me was an iPhone.

"Light makes photography.
Embrace light.
Admire it.
Love it.
But above all, know light.
Know it for all you are worth,
and you will know
the key to photography."

- George Eastman (1854 - 1932)

Structure of Life

"The soul hungers for expression and ceaselessly strives for an understanding of all that comprises the cosmos. The more of beauty in the mind, the more of peace in the spirit. Time is a definite and moving quantity – conserve it! The structure of life we build for ourselves determines the color of our soul. Think more of yourself, realize your duty to yourself, and your duty to those who shall come after you, who shall shape their lives on your influence. Develop the sense of inner beauty and majesty of Nature."

- Ansel Adams (1902 - 1984)
Letters & Images

Atoms with Consciousness

"I stand at the seashore, alone, and start to think.
There are the rushing waves…
mountains of molecules, each stupidly
minding its own business… trillions apart…
yet forming white surf in unison.

Ages on ages…
before any eyes could see…
year after year…
thunderously pounding the shore as now.
For whom, for what?…
on a dead planet,
with no life to entertain.

Never at rest…
tortured by energy…
wasted prodigiously by the sun…
poured into space.
A mite makes the sea roar.

Deep in the sea, all molecules
 repeat the patterns of one another
 till complex new ones are formed.
They make others like themselves…
and a new dance starts.

Growing in size and complexity… living things,
masses of atoms, DNA, protein… dancing
a pattern ever more intricate.

Out of the cradle onto the dry land…
here it is standing…
atoms with consciousness…
matter with curiosity.

Stands at the sea…
wonders at wondering…
...I…
a universe of atoms…
an atom in the universe."

- Richard Feynman (1918 - 1988)
Untitled Ode to the Wonder of Life,
Quoted by Maria Popova (1984 - ), The Marginalian

Mysterious Animal

"In sixteenth-century South America, the name [Carbuncle, from the Latin carbunculus , ‘a little coal’] was given by the Spanish conquistadors to a mysterious animal - mysterious because nobody ever saw it well enough to know whether it was a bird or a mammal, whether it had feathers or fur. The poet-priest Martín del Barco Centenera, who claims to have seen it in Paraguay, describes it in his Argentina (1602) only as ‘a smallish animal, with a shining mirror on its head, like a glowing coal . . .’ 

Another conquistador, Gonzalo Fernández del Oviedo, associates this mirror or light shining out of the darkness - two of which he glimpsed in the Strait of Magellan - with the precious stone that dragons were thought to have hidden in their brain. He took his knowledge from Isidore of Seville, who wrote in his Etymologies: 'It is taken from the dragon’s brain but does not harden into a gem unless the head is cut from the living beast; wizards, for this reason, cut the heads from sleeping dragons. Men bold enough to venture into dragon lairs scatter grain that has been doctored to make these beasts drowsy, and when they have fallen asleep their heads are struck off and the gems plucked out.'

Here we are reminded of Shakespeare’s toad (As You Like It, II, i), which, though ‘ugly and venomous, Wears yet a precious jewel in his head . . .’  Possession of the Carbuncle’s jewel offered fortune and luck. Barco Centenera underwent many hardships hunting the reaches of Paraguayan rivers and jungles for the elusive creature; he never found it. Down to this day we know nothing more about the beast and its secret head stone."

- Jorge Luis Borges (1899 - 1986)
The Book of Imaginary Beings

Geometric Patterns

"Every place is given its
character by certain patterns of
events that keep on happening there.
These patterns of events
are locked in with certain
geometric patterns in the space.
...
"I believe that all centers
that appear in space -
whether they originate in biology,
in physical forces, in pure geometry,
in color - are alike simply in that
 they all animate space.
 It is this animated space that
has its functional effect
 upon the world, that determines
 the way things work, that governs
 the presence of harmony and life.
...
"All space and matter,
organic or inorganic,
has some degree of life in it,
and matter/space is more alive
or less alive according to
its structure and arrangement."

- Christopher Alexander (1936 - 2022)

Secret of the Sea

"My soul is full of longing
for the secret of the sea,
and the heart of the great ocean
sends a thrilling pulse through me."

- Henry Wadsworth Longfellow (1807 - 1882)

"Time is more complex near
the sea than in any other place,
for in addition to the circling
of the sun and the turning
of the seasons, the waves
beat out the passage of time
on the rocks and the tides rise
and fall as a great clepsydra."

- John Steinbeck (1902 - 1968)

Like Lichen on Rock

"Say you could view a time lapse film of our planet: what would you see? Transparent images moving through light, “an infinite storm of beauty.

The beginning is swaddled in mists, blasted by random blinding flashes. Lava pours and cools; seas boil and flood. Clouds materialize and shift; now you can see the earth’s face through only random patches of clarity. The land shudders and splits, like pack ice rent by widening lead. Mountains burst up, jutting, and dull and soften before your eyes, clothed in forests like felt. The ice rolls up, grinding green land under water forever; the ice rolls back. Forests erupt and disappear like fairy rings. The ice rolls up- mountains are mowed into lakes, land rises wet from the sea like a surfacing whale- the ice rolls back.

A blue-green streaks the highest ridges, a yellow-green spreads from the south like a wave up a strand. A red dye seems to leak from the north down the ridges and into the valleys, seeping south; a white follows the red, then yellow-green washes north, then red spreads again, then white, over and over, making patterns of color too intricate to follow. Slow the film. You see dust storms, locusts, floods, in dizzying flash-frames.

Zero in on a well-watered shore and see smoke from fires drifting. Stone cities rise, spread, and crumble, like paths of alpine blossoms that flourish for a day an inch above the permafrost, that iced earth no root can suck, and wither in a hour. New cities appear, and rivers sift silt onto their rooftops; more cities emerge and spread in lobes like lichen on rock. The great human figures of history, those intricate, spirited tissues whose split second in the light was too brief an exposure to yield any image but the hunched shadowless figures of ghosts.

Slow it down more, come closer still.

A dot appears, a flesh-flake.
It swells like a balloon; it moves,
circles, slows, and vanishes.

This is your life."

- Annie Dillard (1945 - )
Pilgrim at Tinker Creek

Loosely Conjoined Cells of a Tissue

"A solitary ant, afield, cannot be considered to have much of anything on his mind; indeed, with only a few neurons strung together by fibers, he can’t be imagined to have a mind at all, much less a thought. He is more like a ganglion on legs. Four ants together, or ten, encircling a dead moth on a path, begin to look more like an idea. They fumble and shove, gradually moving the food toward the Hill, but as though by blind chance. It is only when you watch the dense mass of thousands of ants, crowded together around the Hill, blackening the ground, that you begin to see the whole beast, and now you observe it thinking, planning, calculating. It is an intelligence, a kind of live computer, with crawling bits for its wits.

...

Not all social animals are social with the same degree of commitment. In some species, the members are so tied to each other and interdependent as to seem the loosely conjoined cells of a tissue. The social insects are like this; they move, and live all their lives, in a mass; a beehive is a spherical animal. In other species, less compulsively social, the members make their homes together, pool resources, travel in packs or schools, and share the food, but any single one can survive solitary, detached from the rest. Others are social only in the sense of being more or less congenial, meeting from time to time in committees, using social gatherings as ad hoc occasions for feeding and breeding. Some animals simply nod at each other in passing, never reaching even a first-name relationship."

- Lewis Thomas (1913 - 1993)
The Lives of a Cell: Notes of a Biology Watcher

Nothing is Dead

"Millions of years ago,
there was blackness,
pure and beautiful Nothing.
There was no thing in it,
no star, no wind,
no light, no word,
no broken heart.

But a time came when perfect,
restful Nothing was to vanish
forever. Something was
about to be.

Suddenly, there it was.
Something, all alone, king
of everything. Killer
of ancient, beautiful
Nothing. There was
a silence.

...till Nothing screamed
a death scream and
that scream is still screaming,
an expanding ring into the
universe that will never end.

Nothing is dead…"

- Joseph Pintauro (1930 - 2018)
To Believe in Things

Cosmic Sea of Energy

"Space is not empty.
It is full, a plenum
as opposed to a vacuum,
and is the ground for
the existence of everything,
including ourselves.
The universe is not separate
from this cosmic sea
of energy.

...

Relativity and quantum theory agree, in that they both imply the need to look on the world as an undivided whole, in which all parts of the universe, including the observer and his instruments, merge and unite in one totality. In this totality, the atomistic form of insight is a simplification and an abstraction, valid only in some limited context.

...

The essential feature in
quantum interconnectedness
is that the whole universe
is enfolded in everything,
and that each thing is
enfolded in the whole."

- David Bohm (1917 - 1992)

Mathematical Beauty

"The harmony of the
world is made manifest
in Form and Number,
and the heart and soul
and all the poetry of
Natural Philosophy are
embodied in the concept
of mathematical beauty."

- D'Arcy Wentworth Thompson (1860 - 1948)

Postscript. As may be the case with many of you, my day-job constraints leave me precious little time to devote to purely aesthetic pleasures (notwithstanding those that occasionally overlap with more mathematical pursuits). Sometimes, as now, even my weekend time is filled mostly with staring at gibberish on a computer screen, and pounding away at my keyboard to produce picture-less reams of technical reports (even as I day-dream of month-long photo-safaris in far-away lands). Thus, the short walks my wife and I take through our neighborhood after breakfast each day have become immeasurably important physical and spiritual oases for me. The simple pleasure of encountering beautifully haphazard arrangements of natural forms rejuvenates and nourishes my soul. The images in the triptych above were taken no more than a few minutes apart during a walk that itself lasted less than a half hour. But what a joy it is to stumble upon such humble transcendent beauty hiding in plain sight! The great polymath Thompson's book, On Growth and Form (the first edition of which came out in 1917, and which to this day remains an extraordinarily beautiful book to read) is essentially a 1100+ page erudite argument that biology can be reduced to mathematics (a sentiment that a much younger version of myself would have been happy to accept): "It behooves us always to remember that in physics it has taken great men to discover simple things. They are very great names indeed which we couple with the explanation of the path of a stone, the droop of a chain, the tints of a bubble, the shadows in a cup. It is but the slightest adumbration of a dynamical morphology that we can hope to have until the physicist and the mathematician shall have made these problems of ours their own." For those of you interested in exploring (taking a deep-dive, really, into) the broader entanglement of art and science, here are some slides I used for a 2017 presentation at a Humanities and Technology Association conference (held that year in Newport, RI). This lecture is one of three I've given in (relatively) recent years during which I wore both of my hats, as physicist and photographer. The other two lectures were given at the American Center for Physics (College Park, MD in 2009) and at the Morrison House (Alexandria, VA in 2011).

New Riddles

"The modern world was not alive to the tremendous Reality that encompassed it. We were surrounded by an immeasurable abyss of darkness and splendor. We built our empires on a pellet of dust revolving around a ball of fire in unfathomable space. Life, that Sphynx, with the human face and the body of a brute, asked us new riddles every hour. Matter itself was dissolving under the scrutiny of Science; and yet, in our daily lives, we were becoming a race of somnambulists, whose very breathing, in train and bus and car, was timed to the movement of the wheels; and the more perfectly, and even alertly, we clicked through our automatic affairs on the surface of things, the more complete was our insensibility to the utterly inscrutable mystery that anything should be in existence at all."

- Alfred Noyes (1880 - 1958) 

Early Morning Walk

"An early morning walk is
a blessing for the whole day."

- Henry David Thoreau (1817 - 1862)

"None of your knowledge, your reading, your connections will be of any use here: two legs suffice, and big eyes to see with. Walk alone, across mountains or through forests. You are nobody to the hills or the thick boughs heavy with greenery. You are no longer a role, or a status, not even an individual, but a body, a body that feels sharp stones on the paths, the caress of long grass and the freshness of the wind. When you walk, the world has neither present nor future: nothing but the cycle of mornings and evenings. Always the same thing to do all day: walk. But the walker who marvels while walking (the blue of the rocks in a July evening light, the silvery green of olive leaves at noon, the violet morning hills) has no past, no plans, no experience. He has within him the eternal child. While walking I am but a simple gaze."

- Frédéric Gros (1965 - )
 A Philosophy of Walking