In fact, the shape had already been discovered in 1934 by a Swedish artist Oscar Reutersvärd, but had apparently attracted little notice at the time. Seen from the correct angle, it appears to be a Penrose triangle. There is an “Impossible Triangle sculpture in Perth, Western Australia (see figure at the top of this post). However, a construction with three straight square bars can be made that, when viewed from a certain angle, appears to be a tribar. It cannot be realized as a closed loop in our 3D space. The tribar appears to be a solid triangular object made from three straight sections, each with square cross-section, meeting at right angles to each other. Have you 3D printed an optical illusion? Let us know how your impossible triangle - or other illusion - turns out! Tell us what you think over at the Impossible Triangle forum thread at Penrose triangle or tribar. The creator of the 3D printed impossible triangle gets credit from me for an imaginative take on a illusory conundrum that has baffled some of the great artistic and scientific minds. There’s another version of an impossible triangle, also on Thingiverse, that relies more obviously on the viewing angle to preserve the illusion. Good illusion though.” And that appears true. If you want to figure this out for yourself, you can download an STL file of an impossible triangle from Thingiverse. As one person commented, “you can see the mark of where it ends. But if the impossible triangle has always been impossible, doesn’t the original poster deserve some credit for 3D printing an illusion? The “spoiler” even claims that the original poster of the impossible triangle provided different photos on reddit (see below). One “spoiler” in the post comments suggests that this is, of course, an optical illusion and if it was photographed at a different angle it would look quite different. The verdict is still out on whether this 3D printer succeeded in achieving the impossible. An object of much fascination for science nerds, the impossible triangle presents itself as an object that seamlessly conjoins different sides of a triangle, but that depends on the angle you look at it. Why is it impossible? Because it is a two-dimensional object made to look three dimensional - depending on the angle you perceive it at. In 1934, the Swedish artist Oscar Reutersvärd created the first “impossible” or “Penrose” triangle and it was popularized in the 1950s by the mathematician Roger Penrose who explained that it is “impossibility in its purest form.” Recently the same illusion has been 3D printed, too. One interesting aspect of Escher’s optical illusions involves the mathematical conundrum of the “impossible” or “Penrose” triangle - an object that appears in Escher’s work, like his famous print “Waterfall” (see right). Mastering the feat of designing images that can literally look different than what they are is the point of optical illusions, and it now appears that someone has achieved the impossible and printed an “impo ssible triangle” that has one of the bases of Escher’s work and a great challenge for mathematicians and physicists alike. If you take a neck for a chin, a young Victorian looking woman, glancing sideways, becomes an old woman with a very distinctive nose and face. I am pretty sure that my first encounter with an optical illusion was the picture of the old woman/young woman illusion. Or, more specifically, things can be more than one thing at the same time, and your mind and sight can be tricked by something rather simple in the end. The lesson of the optical illusion is a tough one: things aren’t what you think they are. Escher picture until you grew dizzy or simply marveled at the way Escher configured angles and drew objects to trick the eye? Well, there’s no question Escher is a master of illusion, beckoning us to an imaginary world of complexity and perspective that teaches the lesson that not everything is “as it seems.” Or, better yet, things can appear as more than one thing at different times depending on how you look at it.
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