- Le Corbusier (1887 - 1965)
Sunday, May 03, 2026
Luminous Forms
Wednesday, December 17, 2025
Geometry Made Visible
in the same sense that music
is number made audible."
- Claude F. Bragdon (1866 - 1946)
Thursday, May 22, 2025
Photographs-Otherwise-Not-Taken, Taken
- Julian Barbour (1937 - )
The End of Time
Note. The admittedly busy title of this blog post obviously begs an explanation. I'll start by saying that it is inspired by a short email exchange I recently had with a photo buddy of mine (the Zen-master, Paul Cotter). In reply to Paul's kind comments about my recent "travelogue images," I countered with the suggestion that my favorite images from the trip are/may-be those I took with my iPhone and not my 21L-sling-bag's-worth of "pro" gear (the details of which hardly matter)! While I am not (entirely) convinced of the veracity of my claim (and others may differ), I have zero doubt that my iPhone gifted me many images that I will cherish in the years to come precisely because these are photographs I would otherwise have not taken! Some examples - click to see full-size:
A view from inside the Novotel Auckland Airport
while my wife was busy getting us checked in
Frosted window inside restroom at the
Aoraki/Mount Cook National Park Visitor Centre
Upside down view of one of the ceilings at the
Nadi International Airport in Fiji
A snapshot view of urban geometry while waiting
for my wife to pay the parking meter
A 5 sec exposure of a part of our boat ride to Milford Sound,
stabilized by my iPhone's computational photography algorithms
I have dozens more of these "Photographs-Otherwise-Not-Taken, Taken" images, all of which share this one salient pattern: had I not used my iPhone to capture them (embarrassingly easily by, literally, framing and tapping, and without any of what my wife describes as "glacier-paced compositional machinations"), they would all have been but fleeting moments doomed to be lost in the mists of memory and time.
Thursday, December 05, 2024
Euclidean Dimensions
- Fyodor Dostoyevsky (1821 - 1881)
Brothers Karamazov
Tuesday, September 24, 2024
Perceived Geometries #1
- 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)
Monday, September 25, 2023
Icelandic Geometry
or geometrical is the same thing
as saying that the human being simple.
And both statements are false.
...
The imaginary is not formed in
opposition to the real, it is
not opposed to common sense,
it is not situated on another plane,
it is situated simultaneously on
all the planes of the real.
it is always changing, always
becoming different-from itself.
whole only because he consists of the
same substance as the whole,
which guarantees the union, a
substance which is doubtless more
substantial for being more rare."
- Gaston Bachelard (1884 - 1962)
Tuesday, June 20, 2023
de Chirico's Dreams
a work of art must escape all human limits:
logic and common sense will only interfere.
But once these barriers are broken,
it will enter the realms of
childhood visions and dreams.
shadow of a man walking under
the sun than in all past,
present, and future religions."
- Giorgio de Chirico (1888 - 1978)
Monday, October 17, 2022
Serendipitous Geometry
- 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 😊
Saturday, October 15, 2022
Light, Shadow, and Geometry
- Henry Fox Talbot (1800 - 1877)
Some Account of the Art of Photogenic Drawing
Sunday, April 25, 2021
Geometry and Space
- Bernhard Riemann (1826 - 1866)
Saturday, February 15, 2020
Visible Delineations
Sunday, March 13, 2016
What is Order?
Sunday, July 20, 2008
Color vs. B&W...a "Heisenberg Uncertainty"-like Relation?
Monday, July 14, 2008
Santorini (Greece) = Geometry + Color + Shadow
Regular readers of my blog, and those that have seen my work in Lenswork , Focus, and Black & White magazine, know that I am primarily (indeed, almost exclusively!) a black and white photographer. While I have dabbled with color in the past, and print in color on occasion (the last time involving images taken in Hawaii, with an "explanation" provided by this 2006 blog entry), almost everything I do "seriously" (and seriously try to sell) is in black and white. O'Reilly publishing also published a "color portfolio" (of sorts) of some flowers, but these were considerably older than the "2005" byline date would suggest, and - moreover - were never meant to be part of a larger body of work. Generally speaking, and without apology, color is simply "not my thing."While I tend to "see" the world in tones, not colors (a habit I think I first picked up when my eyesight started going bad when I was five; since - without glasses - the world is made up mostly of featureless, colorless splotches in my visual field), I recognize that when color is the primary - or otherwise important - focus of my aesthetic attention and therefore needs to be expressed, it behooves me to render the scene in color. But color is by no means my primary focus. And to the extent that my (mostly B&W tonal) aesthetics dictates how I perceive a photographic environment, and what grabs my attention in the photographic environment, it is simply a fact that I have seldomly produced a body of work consisting of color images. However, Santorini renders all such musings and intellectualizations absurdly moot. Aside from its intricate labyrinth of criss-crossed and interlocked walkways (that passerbys must occasionally share with mules), Santorini is nothing but color; glorious, breathing, living, and sometimes blindingly bright color!
I am convinced that color is somehow born and nurtured here, before being unleashed in muted tones elsewhere in this world. A result partly of the eternally bright midday summer sun and partly of the bright local hues and saturation, Santorini is ablaze with color. This is somewhat of a paradox, as most of the buildings are painted a bright white, and are devoid of any color; of course, this accentuates the omnipresent colors that much more and renders them, if anything, more intense.
Since we were there for only a few days, I regret not having the time to "attune" myself to the fantastic - and phantasmagoric - Escher-like architectonic forms. I was more in "point and shoot" mode, trying to capture as much of the colorful geometry as I could in the time we had, than in my more usual slow, deliberate, and contemplative frame of mind (which, had I followed, would have resulted in far fewer shots; perhaps none at all (!). As it turned out, I did manage to find several wonderful scenes that show some of Santorini's unique charm (though I'll let kind readers judge for themselves).
On a physical side, what I will always remember about Santorini is the steps; endless steps, ups and downs, and more endless steps ;-) My wife and I needed about 80 steps or so to get down to our hotel room from the main desk (which is itself about 75 steps removed from the "top" of Fira, the town we stayed in), then another 50 to arrive at the hotel's restaurant for dinner. It is the first place either of us has stayed in with the amusing (and slightly surrealistic) property that, if - after locking your hotel room and before arriving at the hotel's restaurant - you suddenly remember that you have forgotten something absolutely vital for the rest of the day, you will pause, in mid-step, for considerably more than a few minutes (partly to catch your breath and partly to just think), reflecting on the pros and cons of going back to the room for the item; and, 9 times of of ten simply decide to forget it. This place is just hard on the legs and lungs! Though we were both immediately winded less than half-way up the first series of steps the first day there, we soon acclimated to the mini-climbs and were hardly out of breath by the last day. Just in time to prepare for our hike down Samaria Gorge on Crete, our next stop; but that's another story. (We also both found our thighs had expanded two or three inches in girth with pure muscle after we got back home.)
I have posted a mini "point and shoot" portfolio of Santorini's Geometry, Color, and Shadow - (no B&W to be found anywhere ;-) - here.










