The Penrose triangle, also known as the Penrose tribar, the impossible tribar,[1] or the impossible triangle,[2] 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 it can be embedded isometrically in five-dimensional Euclidean space.[3] It was first created by the Swedish artist Oscar Reutersvärd in 1934.[4] Independently from Reutersvärd, 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".[5] 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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The Penrosetriangle, also known as the Penrose tribar, the impossible tribar, or the impossible triangle, is a triangular impossible object, an optical...
independently discovered and made popular by Lionel Penrose and his son Roger Penrose. A variation on the Penrosetriangle, it is a two-dimensional depiction of a...
popularised by Lionel Penrose and his mathematician son Roger Penrose. A variation on the Penrosetriangle, it is a two-dimensional depiction of a staircase in...
algebraist and geometer John A. Todd. He devised and popularised the Penrosetriangle in the 1950s in collaboration with his father, describing it as "impossibility...
physicist; Sir Roger Penrose, born 1931, mathematical physicist and mathematician (with whom Lionel co-authored papers on the Penrosetriangle); and who shared...
A Penrose tiling is an example of an aperiodic tiling. Here, a tiling is a covering of the plane by non-overlapping polygons or other shapes, and a tiling...
tensors Penrose stairs, impossible object (co-created with his father Lionel Penrose) Penrose tiling, an example of an aperiodic tiling Penrosetriangle, impossible...
Geological Society of America Penrose tiling, an aperiodic tiling discovered by Roger PenrosePenrosetriangle and Penrose stairs, optical illusions All...
Novelty items based on mathematical objects, such as Klein bottles and Penrosetriangles, have been manufactured. Models of Möbius strips are sometimes made...
Archived from the original on 2019-07-13. Retrieved 28 February 2015. Penrose, LS; Penrose, R. (1958). "Impossible objects: A special type of optical illusion"...
Oliver Penrose FRS FRSE (born 6 June 1929) is a British theoretical physicist. He is the son of the scientist Lionel Penrose and brother of the mathematical...
also sometimes referred to as the Penrose–Terrell effect, the Terrell–Penrose effect or the Lampa–Terrell–Penrose effect, but not the Lampa effect. By...
The original problem was first solved in 1958 by Roger Penrose using ellipses to form the Penrose unilluminable room. He showed that there exists a room...
The diagrammatic notation can thus greatly simplify calculations. Roger Penrose described spin networks in 1971. Spin networks have since been applied...
"Fergadelic" Purcell, Marc Jacobs' design director. Purcell's design, a Penrosetriangle with 'Palace' inscribed on each side, aimed to convey a sense of continuous...
Shirley Victoria Penrose Hodgson, FRCP, FRSB (born 22 February 1945) is a British geneticist. Hodgson studied at Somerville College, Oxford. She worked...
of an impossible object, specifically an impossible cube (compare Penrosetriangle). With the cube on the left, most people see the lower-left face as...
dodecahedron, as well as those of a 5-cell. It features in the Kepler triangle and Penrose tilings too, as well as in various other polytopes. Dividing by interior...
by the representation of impossible objects, such as Necker cube or Penrosetriangle. For all these types of images, certain ambigrams exist, and can be...
makes the impossible appearance seem more likely than the reality. Penrosetriangle Blivet Bruno Ernst (Hans de Rijk) (2003), "Selection is Distortion"...
such as the Penrosetriangle or impossible staircase seen, for example, in M. C. Escher's Ascending and Descending and Waterfall. The triangle is an illusion...
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