Kinegrams: Optical Animations from Static Images

Two monks stood outside a temple, watching its flag wave in the wind.
“The flag moves,” said one.
“No, the wind moves,” said the other.A third monk smiled:
“Neither moves. Your mind moves.”

Back in the early 2000s, I ran a few public art workshops exploring a deceptively simple idea: a printed image does not have to move to appear animated.

The trick is a kinegram—a static image transformed into a precise pattern of lines. Place a special acetate screen over it, and the hidden movement suddenly appears.

No electronics. No screen. No animation software. Just a carefully calculated pattern and a bit of moiré.

In these workshops, we experimented with:
• concentric circles
• simple radial patterns
• geometric textures

The resulting kinegrams produce seamless, looping animations from completely static printed images. If you’re interested in exploring the technique or collaborating, feel free to contact me.

☞ More on kinegrams.

Horse in the Snow

Is the horse walking toward you or away from you?

Video: Alesia Willard (@rudniktheroan), British Columbia, Canada, 2024.


This is a case of “bistable perception“: the image contains ambiguous visual cues that allow the brain to construct two different interpretations.

The dark silhouette against the bright snow removes important depth cues—surface detail, shadows, and clear body contours. Occlusion between the legs also makes their spatial position difficult to determine. The brain therefore fills in missing information through “top-down processing“, drawing on expectations and prior visual experience.

The horse is actually walking away from the camera. The fascinating part is that the same ambiguous image can make your brain perceive two completely different directions.

Exploring Tessellations & Op Art: Hidden Arrows

This brief tutorial explores an Op Art tessellation that plays with bistable perception, figure–ground reversal and negative space. By combining modular geometric tiles with contrasting colors, the pattern creates a visual interplay in which arrows can be perceived as either foreground shapes or background forms, depending on how the pattern is interpreted.

Experiment 1:

· Preparation — Fig. A: Start with a 3 × 3 square. Divide it along its diagonals into four triangles, then add a 1 × 1 square to the outer side of each triangle, as shown. Color the resulting cross-shaped tile with two contrasting colors, ensuring that adjacent sections are different colors. The construction produces four inward-pointing arrows.

· Preparation — Fig. B: Following the construction shown, subdivide a 2 × 2 square to create five diamonds arranged in a staggered pattern. Use the same two contrasting colors. This produces a complementary tile containing four outward-pointing arrows.

· Assembly — Fig. C: The two tiles are complementary and fit together. Interlock the cross-shaped tiles with inward-pointing arrows and the square tiles containing the diamond pattern to create a continuous tessellation.

Visual result: The alternating geometric modules form a large geometric Op Art pattern in which arrows emerge through figure–ground reversal. And hidden within it are, believe it or not, 100 arrows. Yes, one hundred arrows!

This op art work is available as fine art prints and canvases from my online official gallery.

Experiment 2:

· Preparation — Fig. D: Build a four-armed pinwheel shape from a 4 × 4 square, as shown.

· Assembly — Fig. E: Interlock the four-armed pinwheel shape with the cross-shaped motifs containing the inward-pointing arrows.

· Assembly — Fig. F: As shown, these four-armed pinwheel shapes can be assembled in four or more different ways, producing different geometric configurations.

Visual Result: As seen in the example below, the contrasting colors make the bright blue arrows radiating around the pink central hubs—the pinwheel shapes—stand out, while the yellow arrows, matching the background color, virtually disappear from view.

pattern with pinwheel shapes

Experiment 3:

· Preparation & Assembly — Fig. G: Combine square tiles containing interior diamond arrangements with tiles featuring four inward- and four outward-pointing arrows formed by negative space. Arrange them alternately to create a checkerboard pattern.

The example below shows a 3 × 3 alternating checkerboard configuration that surprisingly reveals 52 arrows in total.

Variation: Here is a striking variation of the tile with four inward- and outward-pointing arrows. The inward arrows extend into continuous paths on a white background, creating the effect of interwoven arrowed ribbons.

Extra 3D Arrow Illusion

Let’s take a different direction from the experiments above and explore a 3D isometric illusion. This construction is inspired by classic impossible figures depicting ambiguous stacks of cubes, whose apparent number can change depending on how you interpret their spatial arrangement.

Start with a hexagonal boundary (Fig. 1) and overlay a triangular isometric grid (Fig. 2). Then draw six interlocking arrow shapes around a central point, folding their tails inward (Fig. 3).

Finally, use three colors to shade the isometric planes, or apply directional line hatching, to give the flat arrows a three-dimensional, interlocking appearance.

Curious about the mathematics behind these impossible 3D arrows? Math lovers can explore the geometry and construction 👉 here.

Χρόνος and Καιρός

“The part of life we really live is small. For all the rest of existence is not life, but merely time.” — Seneca

Chronos measures time; Kairos gives it meaning.

The ancient Greeks had more than one word for time.

There was Χρόνος (Chrónos), the time that flows relentlessly, measured by clocks, calendars, and the ageing of our bodies. It is the time that runs, pushes us forward, and often makes us feel we are always late for something.

But the Greeks also spoke of Καιρός (Kairós): the right moment, the opportune moment, the instant when circumstances come together and something becomes possible. Unlike Chronos, Kairos cannot be measured in hours or minutes. It must be recognized.

Perhaps we spend too much of our lives chasing Chronos, when we should sometimes pause and listen for Kairos.

There is a time to sow, a time to harvest, and a time to let the earth rest. There is also a time to act, and a time to wait.

Interestingly, other ancient cultures developed similar ways of thinking about time. In Sanskrit, Kāla (काल) refers to time in its chronological and universal sense, while Ritu (ऋतु) describes time as a season or a qualitative moment—a period defined by its particular nature and significance.

The curious thing is that time does not pass at the same speed for everyone. A minute of anxiety can feel like an hour, while an entire afternoon of happiness may disappear in an instant. A child experiences summer as an eternity; an adult may wonder where the years have gone.

Chronos is the time we share. Kairos is the time we experience.

The deepest mystery of time, for me, is not how quickly it passes, but why it feels so different depending on who we are, what we are doing, and what we are waiting for. Two people can share the same hour, the same year, even the same lifetime, yet experience it in profoundly different ways. The distance between them is not measured in space, but in the way they inhabit time—as if they were living in different dimensions.

Which kind of time are you living in today?

kairos, time experienced

Credit:

The image shows a relief of Kairos, the personification of the opportune moment. Why the long hair at the front and the bald back of his head?

The symbolism is brutally simple: when Kairos approaches, seize him by the hair. Once he has passed, there is nothing to hold on to. No amount of regret can bring the opportunity back.

The original reliefs associated with Kairos are preserved today at the Archaeological Museum of Trogir, Croatia, and the Kunsthistorisches Museum in Vienna.

Language as a Mirror

As some of you know, I am fluent in four languages—French, Italian, German, and English—and switching from one language to another sometimes makes me notice things I would probably overlook otherwise. The same idea can take on a surprisingly different tone depending on the language in which it is expressed.

Language is rarely a simple tool for conveying information. It also reveals how societies frame responsibility, inconvenience, and social balance.

This image highlights a subtle linguistic difference in Western Europe. When routine friction occurs, some institutional formulas appeal to understanding, while others emphasize acknowledgment and apology.

The Linguistic Mechanics

  • France & Germany — Cooperation and Understanding: The French “Merci pour votre compréhension” and German “Wir bitten um Ihr Verständnis” ask the listener to understand the circumstances. Rather than explicitly expressing regret, the institution frames the situation as something that calls for the public’s understanding and cooperation.
  • Italy & the United Kingdom — Acknowledgment and Apology: Italy’s “Ci scusiamo per il disagio” and Britain’s “We apologize for any inconvenience caused” explicitly acknowledge the inconvenience experienced by the individual. In British English, apologies also serve as an everyday politeness strategy, often helping to reduce social friction even when there is little or no personal responsibility involved. Italian disagio similarly draws attention to the discomfort or inconvenience caused.

These are not rigid cultural rules. All four languages can use both strategies. What differs is the conventional framing favored in particular situations.

The Philosophical Tension

This small linguistic difference raises a larger question:

What restores balance when a routine disruption disturbs the social order?

One approach appeals to understanding: Please understand the circumstances.

The other acknowledges the disruption: We recognize the inconvenience and regret it.

Neither is necessarily more polite or more effective. They simply place the emphasis in different places—on shared understanding or on acknowledging the individual’s experience.

What looks like a routine automated notice on a train platform can therefore reveal something deeper about responsibility, politeness, individual agency, and public trust.

cultural language reflexes

Deconstructing impossibility

A quick study of impossible interlocking cubes, taking the same paradoxical geometry from line drawing to watercolor and high-contrast digital collage.

The drawings use isometric projection to represent a three-dimensional cubic structure. The geometry appears consistent at first, but the planes intersect in ways that cannot exist in physical space. What functions as a back face seamlessly projects forward to become a front face, creating a continuous spatial contradiction.

In Between the Strokes

These two minimalist Zen compositions exploit our brain’s tendency toward pareidolia and the Gestalt principle of closure: we instinctively connect isolated strokes, filling in what is missing until a familiar presence begins to emerge.

A few seemingly unrelated brushstrokes can be enough to suggest something—or someone—we recognize.

Can you see the hidden figures?

☞ For further exploration, visit my Subliminal Faces gallery.

The Exposure of Time

Not so long ago, before the digital age, photographs were fixed on silver gelatin photographic paper. But there are other, far more powerful mediums capable of freezing a moment — sometimes even an entire civilization — in space and time: ash and forest.

Take Pompeii. In AD 79, the eruption of Mount Vesuvius abruptly brought life in the city to a halt, burying its streets, houses, and inhabitants beneath volcanic debris. Pompeii became, in a sense, a three-dimensional photograph of a precise moment in time. Walking through its streets today, we can still see traces of everyday life interrupted: decorated houses, shops, familiar objects, inscriptions on the walls. Everything seems to tell us what was happening just moments before time stopped: the bustle of the streets, voices mingling, merchants calling out to passersby, children crying, lovers meeting away from prying eyes. As if all those lives had been imprinted in stone.

Then there are the Maya cities, such as Palenque. Here, the shutter seems to have worked much more slowly. It did not capture a single moment, but the gradual disappearance of an entire civilization. After the city was abandoned, the tropical forest slowly covered its temples, palaces, and plazas, until it almost completely absorbed them.

At Pompeii, ash stopped time. In the Maya cities, it was the forest that covered it.

Two very different ways of preserving the past: one through a sudden interruption, the other through the slow return of nature. In both cases, what we discover today bears a strange resemblance to a photographic image — except that here, the image is three-dimensional, and its frame is time itself.

And there is something quite extraordinary about that: time, which normally erases everything, has left an image behind. An image without film, without a camera, without a photographer.

And perhaps that is the most haunting photograph of all: one that no one ever took, but that time itself developed.

The Angle of Time

I am still that little boy whose features are not quite distinguishable, softened by the shade of the tall trees and the light of an Italian sun from another time. Frozen on this road in Quaglietta, the village of my maternal grandparents, I remain forever suspended in a silhouette softened by time, the quiet center of an otherwise motionless world.

This is where the mirror effect begins. I am not merely the subject I once was, a record printed on a photograph with its old-fashioned scalloped edges. I have become the witness to my own existence, the one who now leans over the image, his gaze meeting, across the decades, the eyes of a child who knew nothing of what was to come.

I look at myself from my own point of view, with a strange double awareness: I am here, in the present looking back, and there, on that shaded road, inside the purity of a frozen moment.

My features remain blurred, almost anonymous to a stranger, but to me, the recognition is immediate. The face has faded a little, but the thread of consciousness has never been broken. I am still there, caught in the light of Quaglietta, watching the adult I have become while contemplating the child I once was.

YAACOV AGAM — YOU NEVER SEE IT ALL

“When I finish a work, it is just starting.” — Yaacov Agam

One of my favorite Op Art artists and a true visionary, Yaacov Agam (Hebrew: יעקב אגם) was a pioneer of kinetic and Op Art. His work explored movement, color, time, and perception, making the viewer an active part of the artwork rather than a passive observer.

Born in Rishon LeZion in 1928, Agam studied at the Bezalel Academy in Jerusalem and later with Johannes Itten in Zurich. He moved to Paris in 1951, where he became one of the leading figures of the European avant-garde. His first solo exhibition was held there in 1953.

Agam died in June 2026, at 98, after receiving the Israel Prize for Visual Arts. His work is represented in major museums around the world.

Among his most remarkable achievements is the Salon Agam, commissioned by President Georges Pompidou for the private apartments of the Élysée Palace and created between 1972 and 1974. Now in the collection of the Centre Pompidou, it is essentially a kinetic environment: walls, doors, ceiling, carpet, color and geometric forms change as the viewer moves through the space.

Agam understood something fundamental about visual art: the work is not always what you see. It is also what happens when you move, look again, and see something different.