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  A Collection of Impossibilities  

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Uploaded: 03/18/25 10:22 AM GMT
A Collection of Impossibilities
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A collection of impossibilities, Penrose triangles

The Penrose triangle, also known as the Penrose tribar, the impossible tribar, or the impossible triangle, is a triangular impossible object, an optical illusion consisting of an object which can be depicted in a perspective drawing. It cannot exist as a solid object in ordinary three‐dimensional Euclidean space, although its surface can be embedded isometrically (bent but not stretched) in five‐dimensional Euclidean space. It was first created by the Swedish artist Oscar Reutersvard in 1934. Independently from Reutersvard, the triangle was devised and popularized in the 1950s by psychiatrist Lionel Penrose and his son, the mathematician and Nobel Prize laureate Roger Penrose, who described 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.
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