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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 its surface ...
Impossible cube. Viewed from a certain angle, this cube appears to defy the laws of geometry. The impossible cube or irrational cube is an impossible object invented by M.C. Escher for his print Belvedere. It is a two-dimensional figure that superficially resembles a perspective drawing of a three-dimensional cube, with its features drawn ...
Geometry. In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an idealized ruler and a pair of compasses. The idealized ruler, known as a straightedge, is assumed ...
Penrose stairs. The Penrose stairs or Penrose steps, also dubbed the impossible staircase, is an impossible object created by Oscar Reutersvärd in 1937 [1][2][3][4] and later independently discovered and made popular by Lionel Penrose and his son Roger Penrose. [5] A variation on the Penrose triangle, it is a two-dimensional depiction of a ...
The missing square puzzle is an optical illusion used in mathematics classes to help students reason about geometrical figures; or rather to teach them not to reason using figures, but to use only textual descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations.
Category. : Impossible objects. In graphic design, it is possible to construct deliberately-misconstructed diagrams and images that appear to represent valid three-dimensional objects, but which on further examination would be impossible to produce. A common feature of these figures is unambiguous local consistency, but global inconsistency.
Notable work. Impossible figures. Oscar Reutersvärd (29 November 1915 – 2 February 2002) was a Swedish graphic artist, who in 1934 pioneered the art of 3D drawings that may initially appear feasible, yet cannot be physically constructed. He is sometimes described as "the father of the impossible figure ", although there are much older ...
Constructible polygon. In mathematics, a constructible polygon is a regular polygon that can be constructed with compass and straightedge. For example, a regular pentagon is constructible with compass and straightedge while a regular heptagon is not. There are infinitely many constructible polygons, but only 31 with an odd number of sides are ...
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