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Penrose_triangle abstract "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 at the vertices of the triangle they form. The beams may be broken, forming cubes or cuboids; the logo of National Westminster Bank, comprising three chevrons that form a broken hexagon, has sometimes been depicted with the chevrons as two sides of cubes forming the corners of a Penrose triangle.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. There also exist 3-dimensional solid shapes each of which, when viewed from a certain angle, appears the same as the 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.M.C. Escher's lithograph Waterfall depicts a watercourse that flows in a zigzag along the long sides of two elongated Penrose triangles, so that it ends up two stories higher than it began. The resulting waterfall, forming the short sides of both triangles, drives a water wheel. Escher helpfully points out that in order to keep the wheel turning some water must occasionally be added to compensate for evaporation.If a line is traced around the Penrose triangle, a 3-loop Möbius strip is formed.".
Penrose_triangle thumbnail Penrose-dreieck.svg?width=300.
Penrose_triangle wikiPageExternalLink index.php?menu=sculptures_impossibles.
Penrose_triangle wikiPageExternalLink real3.html.
Penrose_triangle wikiPageExternalLink details?mid=9dc97890819b7ee1be9f99e917cf14f4.
Penrose_triangle wikiPageExternalLink build-an-impossible-triangle.htm.
Penrose_triangle wikiPageExternalLink EscherForReal.
Penrose_triangle wikiPageExternalLink PenroseVSoncu2.jpg.
Penrose_triangle wikiPageID "56108".
Penrose_triangle wikiPageRevisionID "592297597".
Penrose_triangle hasPhotoCollection Penrose_triangle.
Penrose_triangle subject Category:1934_introductions.
Penrose_triangle subject Category:Impossible_objects.
Penrose_triangle subject Category:Topology.
Penrose_triangle subject Category:Triangles.
Penrose_triangle type Abstraction100002137.
Penrose_triangle type Attribute100024264.
Penrose_triangle type Figure113862780.
Penrose_triangle type PlaneFigure113863186.
Penrose_triangle type Polygon113866144.
Penrose_triangle type Shape100027807.
Penrose_triangle type Triangle113879320.
Penrose_triangle type Triangles.
Penrose_triangle comment "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.".
Penrose_triangle label "Penrose triangle".
Penrose_triangle label "Penrose-Dreieck".
Penrose_triangle label "Penrose-driehoek".
Penrose_triangle label "Triangle de Penrose".
Penrose_triangle label "Triangolo di Penrose".
Penrose_triangle label "Triángulo de Penrose".
Penrose_triangle label "Triângulo de Penrose".
Penrose_triangle label "Trójkąt Penrose’a".
Penrose_triangle label "Треугольник Пенроуза".
Penrose_triangle label "مثلث بنروز".
Penrose_triangle label "ペンローズの三角形".
Penrose_triangle label "潘洛斯三角".
Penrose_triangle sameAs Penroseův_trojúhelník.
Penrose_triangle sameAs Penrose-Dreieck.
Penrose_triangle sameAs Triángulo_de_Penrose.
Penrose_triangle sameAs Triangle_de_Penrose.
Penrose_triangle sameAs Segitiga_Penrose.
Penrose_triangle sameAs Triangolo_di_Penrose.
Penrose_triangle sameAs ペンローズの三角形.
Penrose_triangle sameAs 펜로즈_삼각형.
Penrose_triangle sameAs Penrose-driehoek.
Penrose_triangle sameAs Trójkąt_Penrose’a.
Penrose_triangle sameAs Triângulo_de_Penrose.
Penrose_triangle sameAs m.0fjyx.
Penrose_triangle sameAs Q12141.
Penrose_triangle sameAs Q12141.
Penrose_triangle sameAs Penrose_triangle.
Penrose_triangle wasDerivedFrom Penrose_triangle?oldid=592297597.
Penrose_triangle depiction Penrose-dreieck.svg.
Penrose_triangle isPrimaryTopicOf Penrose_triangle.