Ananke’s Die

A simple study in visual perception—an exploration of how a plain hexagon can evolve into the illusion of a cube. Through precise geometry and controlled form blending, static lines awaken into rhythm and volume, giving rise to a subtle sense of depth and movement.

Constructing the Illusion

Fig. A — The Base Shape
Start with a regular hexagon. Divide it into three equal diamond shapes (rhombuses)—these represent the three visible faces of the cube. Each diamond has four equal sides: two acute angles (60°) and two obtuse angles (120°). Together, they form the geometric foundation of the cube.

Fig. B — Building Volume with Shape Blends
In Illustrator, or any other vector software, use the Blend Tool to create a shape blend inside each diamond. Start with a small central circle and blend it toward the outer edge of the diamond. Adjust the number of blend steps to control how smooth or tight the transition appears. This process builds the cube’s apparent volume and visual tension. You’ll notice that the distance from corner to corner in the nested, diamond-like shapes is slightly greater than from side to side, creating subtle gaps that lead the eye to perceive an X across the surface.

Fig. C — Perspective and Transformation
Distort slightly the hexagon to set the three diamonds in perspective. This step transforms the flat figure into a die-like cube, giving it spatial depth and presence.

ananke cube

Enhancing the Optical Effect
Next, add horizontal background lines and some color, as shown in the two examples in the image. You can also adjust the illusion by making the visible faces of the die appear slightly concave, as in the figure on the right. This effect is created by shifting the concentric, nested diamond shapes slightly off-center—the position of the central ellipse determines whether the die appears concave or convex.

 two Ananke dice

Below is the finished stage of the work. Curiously, the cube appears to hover, slide, and even emit a faint blue glow—though it remains entirely black and motionless.
Ananke’s Die is a study I began in 2010, a continuing exploration of how repetitive lines and geometric precision can trick the mind into sensing motion and color where none exist.

Ananke die

You can get Ananke’s Die as a fine art print or canvas, available in different sizes and finishes.
👉 Buy it here

Why Ananke’s Die

I titled this work Ananke’s Die after Ananke, the Greek goddess of necessity and fate.
The cube, a symbol of structure, represents order and control. Yet the three visible faces that seem to define its volume are an illusion—shifting and unstable.
Under the viewer’s gaze, the shape changes, its meaning shifts, yet the form remains.
This illusory die shows the balance between order, perception, and destiny, reminding us that what we think we control often exists within the unpredictable interplay of vision and inevitability.

This image also triggers multiple associations in a loop: hexagon, cube, die, chance, illusion, order, fate, contradiction. These connections show how perception mixes stability and randomness, revealing that what we see is shaped as much by the mind as by reality.

Immergiti nel mondo dell’arte ottica!

Le mie opere, esposte permanentemente alla Città della Scienza e al Dipartimento di Fisica dell’UNIFI, offrono un’esperienza visiva che stimola curiosità e meraviglia. Non perdere l’occasione di vederle dal vivo!
Scopri di più.

Dipartimento di Fisica dell’UNIFI

🇬🇧 Dive into the world of optical art!
My works, on permanent display at Città della Scienza and the Physics Department of UNIFI, offer a visual journey that sparks curiosity and wonder. Don’t miss the chance to experience them in person!

Learn more.

Related links:

Moona Lisa

The Responsive Eye

“The Responsive Eye,” held at MoMA in 1965 and organized by William C. Seitz, was a landmark exhibition in Op Art. Featuring over 100 artists—including Bridget Riley, Victor Vasarely, Richard Anuszkiewicz, and Josef Albers—it explored how geometric patterns and color could manipulate perception.

Riley stood out with her precise, rhythmic paintings that seemed to move and breathe, challenging the way we see. The show fascinated the public, drawing huge crowds, and sparked a wave of interest in optical effects across art, design, and fashion.

Critics were divided. Some celebrated its innovation and playful engagement with vision; others dismissed it as flashy spectacle, questioning the depth and seriousness of Op Art. Personally, I see it as a pivotal moment—one that reminded everyone that perception itself could be the medium, and that art could be both cerebral and exhilarating.

Further information: https://ubu.com/film/depalma_responsive.html

The Cube That Lies

I’ve always been drawn to the architecture of geometry. The hexagon, with its quiet strength and symmetry, sits at the root of so many spatial illusions—it’s the seed of cubes, isometric grids, and 3D paradoxes. From this shape, I began exploring structures that bend logic and perception, eventually giving life to a trio of optical works: Enigma 1, Enigma 2, and Enigma 3.

enigma 1
Enigma 1Prints & T-shirts.
enigma 2
Enigma 2Prints & T-shirts.
enigma 2
Enigma 3Prints & T-shirts.

Each piece is built around the visual tension of the impossible cube, created by merging two tribars in perfect isometric perspective. The lines suggest solidity, yet the form escapes reality—what looks structurally sound unravels the moment the eye tries to make sense of it. That’s the game I love to play: where geometry behaves, but perception rebels.

These “Enigmas” are spatial riddles dressed in stripes and angles, each one twisting the viewer’s reading of depth, volume, and continuity in its own way.

Moonlight Reflections on the Waters

A memory from Japan, where I lived briefly in the 1980s. This piece recalls earthy colors, organic shapes, and fragments of that time. A circle emerges from a flowing field of triangles—like ripples of moonlight dancing on the sea near Kamakura.

Immersing yourself in my op art is an invitation into a world where opposing forces meet, attract, and interlock, creating a balance both precise and hypnotic. It is a silent yet unending dialogue between art, form, line, color, mathematical concepts, the science of perception, and, above all, symbols. The symbolic depth of my work reaches beyond surface appearance, engaging with archetypes and forgotten rites that still pulse within the collective unconscious.

This unique op art piece is available as fine art prints and canvases in my online gallery.

Rediscovering Flutex: Simple Glass, Complex Illusions

I’ve been toying with the idea of revisiting an old, low-key material for my art: Flutex.

If you haven’t heard of it, Flutex is a patterned industrial glass from the 1930s and ’40s, mostly used to give a bit of privacy in bathrooms and office partitions.

In the ’70s, Op artist Sydney Cash started playing with this glass and found that its ribbed surface works like a lenticular screen—showing different images depending on how you look at it. The effect? Hypnotic, shifting artworks that change as you move around them.

It’s just simple glass, but it tricks perception in a really cool way.

I’m seriously considering giving it a try myself—there’s something about that mix of humble material and complex visual play that feels worth exploring again.

Relative Size Illusions

Here are two relative size illusions I described back in 1997 and 2013.

The first, called Sarcone’s Crosses, challenges classic illusions like the Ebbinghaus illusion (Titchener Circles, 1898) and the Obonai square illusion (1954). It features a cross (the test shape) surrounded by squares of different sizes.

As shown in Fig. 1.a, 1.b, and 1.c, the three blue crosses are all the same size — yet the one on the left (Fig. 1.a) appears larger. Surprisingly, the illusion still works even when smaller squares completely cover the cross (Fig. 1.c).

So, the size of surrounding shapes doesn’t always dictate how we perceive the central one.

In the second illusion (Fig. 2.a and 2.b), due to assimilation, the red diagonal inside the larger ellipse seems longer — but the blue line is actually the longest.

Perception loves to play tricks on us.

sarcone's relative sizze illusions

You can explore more of my illusions and visual inventions on my official site: giannisarcone.com

Julio Le Parc – Nihil novi sub sole…

Although I’ve been working in the field of Op Art since the mid-1980s, it’s important to recognize that the movement itself has a deeper history. It began to take shape in the 1960s, led by pioneering figures such as Victor Vasarely and Bridget Riley.

However, the artists who truly captivate me—the ones who expanded the language of perception—are often the outsiders. One such figure is Julio Le Parc (b. September 23, 1928), an Argentine-born artist whose practice bridges Op Art and kinetic art. Le Parc studied at the School of Fine Arts in Argentina and went on to co-found the Groupe de Recherche d’Art Visuel (GRAV). His work, honored with numerous awards, holds a prominent place in Latin American modernism.

Le Parc’s recurring themes—color, light, and movement—have always resonated with me. During the ’60s and ’70s, he explored light not just as a visual element but as a living, dynamic material. Yet by the late ’70s, his presence in the art world had faded; his output became sporadic, and for decades his work slipped quietly out of the international spotlight.

 Fortunately, recent years have witnessed a renewed appreciation of his explorations in light and movement, bringing his contributions once again to the attention of a wider public.

Artist’s Website: http://www.julioleparc.org

Book: Catalog of the artist’s first solo exhibition, Paris, November–December 1966. Text in French by Frank Popper.

Trama – A Strategy Game with an Artistic Twist

trama boardgame 2

Back in the ’90s, my board game Trama made waves for its fresh take on strategy and design. Imagine the logic of chess, but with a twist: neutral pieces that both players can use. The board—plexiglass with screen-printed art—echoes the feel of an Op Art piece, while the Galalith tokens add tactile charm.

There are several design variants, with boards featuring different color schemes and patterns. Some versions include holes or extruded circular reliefs to securely hold marbles instead of tokens—offering a fresh, sensory-rich experience.

· Curious? The full rulebook (in French) is 👉 here.
· More about 👉 Trama.

If you’re a manufacturer interested in bringing Trama back to the table, feel free to reach out.

trama news

Misdirection → Illusion → Aha! Moment…

How misdirection, illusion, and wonder shape my creative process.

The path from misdirection to revelation is at the heart of how illusion and wonder spark insight. Misdirection steers our attention—often subtly—away from what truly matters. It disrupts our expectations, creating a gap between what we see and what is. Within that gap lies the illusion: a crafted discrepancy, a visual or cognitive sleight-of-hand that unsettles our perception.

But the magic doesn’t end there. When the illusion is cracked—when the mind shifts, recalibrates, and sees—the famous Aha! moment erupts. That flash of understanding isn’t just delightful; it’s deeply educational. It rewires how we interpret the world.

This sequence—misdirection, illusion, revelation—mirrors the creative process itself. It shows how confusion, when carefully designed, can be a gateway to clarity. In the right hands, illusion is not deception—it’s a tool to awaken curiosity, stretch perception, and provoke insight. Wonder, in this sense, becomes a powerful cognitive catalyst.

That’s why my art and, I believe, my writing, revolve around this sense of wonder—arguably the most direct and playful route to that pleasurable, often conflicting moment of insight: the sudden discovery of something previously unknown.