Embarking on a journey in a Klein bottle? Absolutely. A Klein bottle is a mind-bending non-orientable surface, defying the usual inside-outside norms. Technically, the ship’s navigating the interior…
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In these minimalist op art pieces, I delve into the metaphoric realm of geometric shapes, with a particular focus on the hexagon as the foundational element for creating cubes and other simple three-dimensional regular shapes.
The artworks I present depict solid or three-dimensional structures that appear plausible and real, yet are in fact illusions known as ‘impossible figures.’ However, discerning these impossible figures isn’t immediately evident; one must concentrate on specific areas of the representation to grasp that they could never exist in reality! Drawing an impossible stereographic structure becomes achievable by merging two or more contrasting viewpoints or perspectives of the same object, or even by blurring the boundaries between the exterior and interior of an object…
The more ‘normal’ and ‘simple’ an impossible figure appears, the more captivating it becomes! Indeed, impossible objects aren’t created solely to bewilder the eyes; their purpose lies in confounding the mind and challenging one’s acquired visuo-spatial skills and stereographic knowledge.
The two intricate drawings displayed above and below combine two tribars to form an impossible isometric cube, showcasing a mesmerizing interplay between form and illusion.
Inspired from the astrological tables, here is a new puzzle of my creation designed according to the ‘Golden Number Rules’, which is reflected in the proportion of each single piece of the game. Thanks to the balanced dimensions of its pieces, this puzzle acquires some intriguing magical properties!
This “math-magical” puzzle is composed of a tray in which the pieces are assembled.
Puzzle Quadrix (aka Quirinus), © 1992, G. Sarcone.
A math-magic article I wrote for the German magazine Zeit Wissen: with the 13 triangular and square pieces (fig. 1) it is possible to form two large squares shown in fig. 2. Though the second large square has an extra piece the dimensions of the squares seem to be the same! Can you explain why this is possible?
Convex / Concave, it all depends on your point of view!
Although the plates are the same, in the second picture, the indents of the egg plate look more like convex domes rather than concave indents.
Is this a real perpetual motion machine?
Obviously not… The closest thing to a “perpetual motion machine” is the Beverly clock whose mechanism is driven by variations in atmospheric pressure, and by daily temperature variations.
This is one of my earliest color optical illusions. There is no yellow or green in the diamond shapes, just vertical black lines! (If you don’t believe it, use a eyedropper tool to check it.) This intriguing visual effect is mainly due to “simultaneous color contrast induction“.
Do the light gray triangular shapes in the diagram below have the same hue and brightness?
Our visual system can interpret colors and shades in surprising ways. With this 3×3 Tic-Tac-Toe grid I would like to show that our sensibility to color brightness can be easily fooled. Well, do you notice something particular in the grid below?
In the examples on your right hand, you can perceive two apples with four different zones. But what happens if we conceal the brightness boundaries of the color zones with black thick lines? You may see the apples as having a uniform color!
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