The Impossible Triangle

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The Penrose triangle, also known as the Penrose tribar, is an impossible object. It was first created by the Swedish artist Oscar Reutersvärd in 1934. The mathematician Roger Penrose independently devised and popularised it in the 1950s, describing it as “impossibility in its purest form”. It is featured prominently in the works of artist M. C. Escher, whose earlier depictions of impossible objects partly inspired it.

The tribar appears to be a solid object, made of three straight beams of square cross-section which meet pairwise at right angles[citation needed] at the vertices of the triangle they form.

This combination of properties cannot be realized by any 3-dimensional object in ordinary Euclidean space. Such an object can exist in certain Euclidean 3-manifolds.[1] There also exist 3-dimensional solid shapes each of which, when viewed from a certain angle, appears the same as the purple, green, and yellow 2-dimensional depiction of the Penrose triangle on this page. The term “Penrose triangle” can refer to the 2-dimensional depiction or the impossible object itself.

source: Wikipedia contributors, ‘Penrose triangle’, Wikipedia, The Free Encyclopedia, 15 September 2010, 18:52 UTC,

The sentence “impossible triangle” is just playing with words. The object you see on the video is a 3D computer model of an object wich can, and has many times, been build as a real object. It’s not disjointed and it’s obviously not a triangle… but a triangular shape. Several sculptures exist in the world, the first one has been done by the belgium artist who first created this 3D object from the 2D Penrose representation in the small town of Ophoven, Belgium. It was done in AutoCAD R14, then finished up in Inventor.


The REAL impossible triangle

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You still doubt such an object can be built? And if you had in front of you sitting on your desk, would you still doubt? You can order the triangle as a 3D sculpture on Sculpteo.