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- Penrose_stairs abstract "The Penrose stairs or Penrose steps, also dubbed the impossible staircase, is an impossible object created by Lionel Penrose and his son Roger Penrose. A variation on the Penrose triangle, it is a two-dimensional depiction of a staircase in which the stairs make four 90-degree turns as they ascend or descend yet form a continuous loop, so that a person could climb them forever and never get any higher. This is clearly impossible in three dimensions.The "continuous staircase" was first presented in an article that the Penroses wrote in 1959, based on the so-called "triangle of Penrose" published by Roger Penrose in the British Journal of Psychology in 1958. M.C. Escher then discovered the Penrose stairs in the following year and made his now famous lithography Klimmen en dalen (Ascending and Descending) in March 1960. Penrose and Escher were informed of each other's work that same year. Escher developed the theme further in his print Waterval (Waterfall), which appeared in 1961.In their original article the Penroses noted that "each part of the structure is acceptable as representing a flight of steps but the connexions are such that the picture, as a whole, is inconsistent: the steps continually descend in a clockwise direction."".
- Penrose_stairs thumbnail Impossible_staircase.svg?width=300.
- Penrose_stairs wikiPageExternalLink books?id=iKleTxffj5IC&pg=PA172.
- Penrose_stairs wikiPageExternalLink Acoustics_Today_2010_Jul.pdf.
- Penrose_stairs wikiPageExternalLink impossible_staircase.html.
- Penrose_stairs wikiPageID "440425".
- Penrose_stairs wikiPageRevisionID "593538420".
- Penrose_stairs hasPhotoCollection Penrose_stairs.
- Penrose_stairs subject Category:Impossible_objects.
- Penrose_stairs subject Category:Optical_illusions.
- Penrose_stairs subject Category:Stairways.
- Penrose_stairs type ImpossibleObjects.
- Penrose_stairs type NaturalPhenomenon111408559.
- Penrose_stairs type Object100002684.
- Penrose_stairs type OpticalIllusion111490463.
- Penrose_stairs type OpticalIllusions.
- Penrose_stairs type OpticalPhenomenon111490638.
- Penrose_stairs type Phenomenon100034213.
- Penrose_stairs type PhysicalEntity100001930.
- Penrose_stairs type PhysicalPhenomenon111419404.
- Penrose_stairs type Process100029677.
- Penrose_stairs comment "The Penrose stairs or Penrose steps, also dubbed the impossible staircase, is an impossible object created by Lionel Penrose and his son Roger Penrose. A variation on the Penrose triangle, it is a two-dimensional depiction of a staircase in which the stairs make four 90-degree turns as they ascend or descend yet form a continuous loop, so that a person could climb them forever and never get any higher.".
- Penrose_stairs label "Escada de Penrose".
- Penrose_stairs label "Escalera de Penrose".
- Penrose_stairs label "Escalier de Penrose".
- Penrose_stairs label "Penrose stairs".
- Penrose_stairs label "Penrose-Treppe".
- Penrose_stairs label "Penrose-trap".
- Penrose_stairs label "Scala di Penrose".
- Penrose_stairs label "Лестница Пенроуза".
- Penrose_stairs label "درج بنروز".
- Penrose_stairs label "ペンローズの階段".
- Penrose_stairs label "彭罗斯阶梯".
- Penrose_stairs sameAs Penrose-Treppe.
- Penrose_stairs sameAs Escalera_de_Penrose.
- Penrose_stairs sameAs Escalier_de_Penrose.
- Penrose_stairs sameAs Scala_di_Penrose.
- Penrose_stairs sameAs ペンローズの階段.
- Penrose_stairs sameAs 펜로즈의_계단.
- Penrose_stairs sameAs Penrose-trap.
- Penrose_stairs sameAs Escada_de_Penrose.
- Penrose_stairs sameAs m.028td5.
- Penrose_stairs sameAs Q58914.
- Penrose_stairs sameAs Q58914.
- Penrose_stairs sameAs Penrose_stairs.
- Penrose_stairs wasDerivedFrom Penrose_stairs?oldid=593538420.
- Penrose_stairs depiction Impossible_staircase.svg.
- Penrose_stairs isPrimaryTopicOf Penrose_stairs.