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

Illusive Pietà

Uncovering the subtle visual tricks Michelangelo wove into his masterpiece.

We’re not very good at judging the true size and positioning of objects just by looking. Take Michelangelo’s Pietà—it hides some subtle, conceptual “illusions”:

  • If they were standing, the Virgin Mary would actually be much taller than Christ, which may be surprising.
  • Her knees are slightly off-center, forming a kind of base or pedestal that supports Christ’s body.
  • And while logically the Virgin should look older, her face is almost childlike, creating a striking contrast with the mature, somber face of her son.

Michelangelo himself explained this choice:
“The mother had to be young—young enough to appear forever a virgin. Meanwhile, her son, who took on our human nature, must, in the stripping away of death, be a man like any other.”

Art is full of illusions designed to meet the visual expectations of viewers—and sometimes to correct what might seem off or unnatural to the eye. Because reality, at times, doesn’t always feel quite real or right to those who look at it.

And one last curious detail: Pietà is the only work Michelangelo ever signed. Stung by whispers that another sculptor had made it, he returned one night and boldly carved his name across Mary’s sash— “MICHAELA[N]GELVS BONAROTVS FLORENT[INVS] FACIEBAT” (Michelangelo Buonarroti, the Florentine, made this). A rare flash of pride from an artist who usually let his work speak for itself.)

Pietà by Michelangelo

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.

Hands-On Wonders: A Mathemagical Collection

Ever wondered what happens when math puts on a magician’s hat? These books are the distilled magic of my hands-on math workshops across Europe — from Paris to Palermo, Geneva to Ghent — where paper folded, minds twisted, and logic sparkled in English, French, and Italian!

Impossible Folding Puzzles

1) “Impossible Folding Puzzles and Other Mathematical Paradoxes” — a playful dive into mind-bending problems where nothing is quite what it seems. Can a puzzle have no solution… or too many? Dare to fold your brain.

Still available on Amazon.

2) “Pliages, découpages et magie : Manuel de prestidi-géométrie” — where math meets illusion to spark curiosity and creativity.
Perfect for teachers, students, and curious minds: touch, fold, cut… and let the magic unfold!
Available on Amazon.

2) “Pliages, découpages et magie : Manuel de prestidi-géométrie” — un livre où maths et illusion se rencontrent pour éveiller curiosité et créativité.
Pour enseignants, élèves et esprits joueurs : touchez, pliez, découpez… la magie opère!
Dispo sur Amazon.

Pliage decoupages

3) “MateMagica” —  They say there’s enough carbon in the human body to make 900 pencils… but just one is all you need for these clever puzzles!
Fun, surprising, and thought-provoking — because, as Martin Gardner put it, “Mathematics is just the solution of a puzzle.”
Now on Amazon.

3) “MateMagica” —  Si dice che nel corpo umano ci sia abbastanza carbonio per 900 matite… ma per questi rompicapi ne basta una!
Sorprendenti, divertenti e stimolanti — perché, come diceva Martin Gardner, “la matematica è nient’altro che la soluzione di un rompicapo.”
Disponibile su Amazon.

I write and illustrate my own books in five languages: English, French, Italian, German, and Spanish.
If you’re a publisher or literary agent seeking original, high-quality educational content that blends creativity with clarity, I’d be pleased to explore potential collaborations.

Unveiling the Ancient Unicursal Labyrinth

Ancient labyrinths, known as unicursal, were also referred to as “Cretan” labyrinths, drawing from their roots in Greek mythology. In Great Britain, similar turf mazes based on the same pattern are called ‘caerdroia‘—a Welsh term meaning “City of Troy.” These mazes can still be found in a few remote villages and rural hamlets.

They were typically built around a central core—often shaped like a cross resembling a ‘gammadion’. With the help of the diagrams below, you’ll find it quite straightforward to construct one yourself.

(There are two main historical variations of the Cretan labyrinth, as you can see in Figures. A and B.)

The image is taken from my article “Parcours et détours,” originally published in the French journal MathÉcole.

You can read the full piece here (in French).

Umbrella Illusion

One of my illusions from the late ’90s. Take a look at the colorful umbrellas in Figures A and B of the table below—are they the same or different? About 80% of people will say that Umbrella A has jagged, zigzag edges, while Umbrella B has a smooth, wavy outline. But here’s the trick—you’ve been fooled by the brightness contrast of the rays inside the umbrellas. In reality, both umbrellas are identical in shape, perfectly congruent.

This illusion works even when only the lines of the shapes are emphasized. As demonstrated in the table below, the outline of Umbrella A appears jagged and zigzagged, while Umbrella B seems to have, once again, a smooth, wavy outline.

This illusion shows a phenomenon called curvature blindness, which was rediscovered in 2017 by Japanese psychologist Kohske Takahashi. He created a powerful variant and studied its impact on how we perceive shapes.

Read more

The Architecture of Light

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.

Puzzling Colors: Red Between the Lines

Colors are not as fixed as they seem. The red you see might not be the same red someone else perceives. Your brain constantly interprets colors based on their surroundings, which can lead to surprising illusions.

Take this experiment inspired by the Munker-White effect: all the gray bars in the striped patterns are actually the same shade. Yet, next to blue lines, they appear bluish; beside mixed colors, they seem to shift tones. This is known as color assimilation—where a color takes on the influence of its neighbors.

The same illusion explains simultaneous brightness contrast. In the wine-pouring examples below, the liquid seems to change color in the glass. But actually, the red remains unchanged.

Here’s a simple animated variant of my project: Hard to believe, but the flow of wine stays the same shade of red all the way—from the bottle’s neck, through the pour, and even inside the glass. It’s only your perception that changes!

Even more striking—when cyan lines replace black ones, the liquid pouring from the bottle is actually gray from start to finish, yet it appears to turn into red wine in the glass. In reality, the red is just an illusion—your brain fills in the missing color where none exists.

🔴 See it for yourself! Fine art prints of my color experiments are available here:
👉 https://gianni-sarcone.pixels.com/featured/red-wine-gianni-sarcone.html

Copyright Notice: My artworks are protected. Any use must include proper credit and a link to the original source. Commercial use is strictly prohibited.