Impossible rectangle?

Cut out the two identical, imperfect rectangles shown here—each missing two corners. Follow the lines to divide them into four geometric pieces… Then try to reassemble them into one perfect rectangle.

Sounds simple? Think again! Solve it? Tell us what made it such a brain-bender!

I’ve always had a passion for puzzles made of simple geometric pieces—especially those that seem almost impossible to solve despite the deceptively simple shapes and limited number of elements. As an Op Art artist, I find these visual enigmas a delight not only for the eye but also for the mind. For someone drawn to minimalism like me, beauty lies not just in pure form, rules, or apparent simplicity, but in the very intention of the game: to create something concrete and well-defined out of very little. And yet, at first glance, the pieces rarely seem to match the information at hand—as if something’s always missing, or as if the pieces resist aligning with your will.

Back in the ’80s, I created numerous puzzles with these paradoxical traits—some even became worldwide hits. When people would say, “Ah, so you’re the creator of that devilish puzzle?” I would always reply, “No, not a puzzle, but a piece of optical art.” Or: “No, not a puzzle, but a visual paradox.” Or sometimes: “No, not a puzzle, but a moment of zen-like reflection.”

No, I’ve never created puzzles—but rather works that turn geometry into visual meditation.

⇨ More visual enigmas to create.

A Remarkable Op’ Artwork Selected by NASA: ‘Moona Lisa’

Today, September 14th, we are thrilled to announce that Gianni Sarcone‘s op’ artwork “The Moona Lisa” has been selected as NASA’s Astronomy Picture of the Day for the International Observe the Moon Night. This captivating piece, created in collaboration with astrophotographer Marcella Giulia Pace, showcases a stunning arrangement of lunar images that, when viewed from a distance, reveal the iconic portrait of the Mona Lisa by Leonardo da Vinci.

The vibrant colors of the moons are naturally derived from atmospheric conditions and sunlight reflections at various times, creating a unique visual experience. “The Moona Lisa” not only pays homage to da Vinci’s genius but also highlights the remarkable capacity of our brains to recognize faces, even when obscured.

You can explore the full image and learn more about it on NASA’s website.

Additionally, prints of this op artwork are available for purchase in our online gallery. It’s a unique opportunity to own a piece that celebrates the Moon and reinterprets a Leonardo-inspired icon through a captivating visual illusion.

Join us in celebrating this fusion of art and science, and experience the magic of “The Moona Lisa.”

This GIF illustrates the creation process of Moona Lisa. For more details, visit Sarcone’s Behance page.

Geometry & Electronics

Geometric shapes are more than visual structures — they play a vital role in microelectronics, where specific patterns are used to build functional components directly onto printed circuits. For instance, inductors (fig. a) use spiral or meander-shaped traces, where inductance is determined by the layout and number of loops. Resistors (fig. b) consist of long, narrow traces of resistive material arranged in serpentine paths to control resistance. Capacitors (fig. c) are formed from parallel conductive areas separated by a dielectric, with performance defined by their shape, spacing, and surface area.

(Illustration from my book “Almanach du Mathématicien en Herbe.”)

electronic circuit