Geometry

Ananke’s Die

Gianni Sarcone

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.

The Cube That Lies

Gianni Sarcone

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

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

Julio Le Parc – Nihil novi sub sole…

Gianni Sarcone

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

Gianni Sarcone
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.

trama variant 1
trama variant 2

· 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

The Silent Orbit of Thought

Gianni Sarcone

The circle, a timeless symbol of wholeness, is found at the core of human thought. In the West, it evokes the Pythagorean harmony of the cosmos, the eternal return of Nietzsche, the indivisible unity of Being. A form without beginning or end, it embodies the perfect balance between presence and absence, the finite and the infinite.
In Eastern traditions, the ensō (円相)—literally “circular form”—is a distilled gesture of perception, a visual echo of clarity. Not merely a shape, but an experience, it is drawn in a single stroke, capturing the ephemeral moment where thought and movement dissolve into pure expression. It is said that the earliest Zen painting was an ensō, traced to offer a student something tangible yet elusive, a paradox to ponder.
A circle can be brushed on paper, traced in sand, drawn on a misted window, or merely imagined. It lacks nothing, needs nothing, yet contains all things. In its quiet completeness, it is not an answer, but an opening—an invitation to see beyond the limits of form.

The Architecture of Light

Gianni Sarcone

Colors, though fundamentally phenomena of light, are not merely superficial aspects of perception. They play a structural role in organizing visual elements. For example, applying contrasting colors to a series of repetitive graphic patterns—while varying their distribution—can dramatically alter how they are perceived. This demonstrates how color is not just an embellishment but an active force in shaping visual reality.


As Goethe put it, “Colors are the deeds and sufferings of light.” More than a sensory experience, they influence our perception of space, depth, and meaning, revealing the intricate dialogue between vision and cognition.

🔍 Explore more about the illusion of colors.

Perspective Optical Illusions: The art of circling the square

Gianni Sarcone

When bending the sides of a square structure forward, each edge forming a sine wave shape, the structure reveals a circle when viewed from the reverse angle. This illusion plays with perspective, specifically utilizing an effect known as “anamorphosis“.

Anamorphosis refers to a artistic technique that uses perspective to create distorted images that can only be viewed correctly from a specific angle.

Two Mind-Bending Aquariums

Gianni Sarcone

At first glance, they seem to be the same, but take a closer look… Can you spot what’s wrong?

I’ve always been fascinated by impossible figures, which psychologists call “undecidable figures”, meaning visual representations that challenge our perception and understanding of reality. Since the late 1980s, I’ve continued to explore this field and create new illusions, producing a series of drawings that play with the third dimension, manipulating perspectives and proportions to create original visual effects.

My work draws inspiration from two masters of optical art and impossible objects: Josef Albers and Oscar Reutersvärd. Their innovations and creations have always inspired and motivated me to continue my research in this field.

Triangles of Beauty

Gianni Sarcone

Introducing my latest creation, Triangles of Beauty—a minimalist mosaic that blends geometric precision with visual intrigue. This op art piece showcases a striking arrangement of triangular shapes in sepia tones, merging rich shades of brown and beige. The triangle, a timeless symbol, embodies the balance of masculine and feminine energies, forming a harmonious third element that transcends duality. It represents strength, unity, and the divine—a visual echo of the trinity, where individual components unite into something greater.

Step back and let the patterns unfold to reveal the depth within this thought-provoking piece.

This thought-provoking op art piece is available in my online galleries:

· Redbubble

· Fine Art America