Three Spheres II
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''Three Spheres II'' is a lithograph print by the
Dutch Dutch commonly refers to: * Something of, from, or related to the Netherlands * Dutch people () * Dutch language () Dutch may also refer to: Places * Dutch, West Virginia, a community in the United States * Pennsylvania Dutch Country People E ...
artist
M. C. Escher Maurits Cornelis Escher (; 17 June 1898 – 27 March 1972) was a Dutch graphic artist who made mathematically inspired woodcuts, lithographs, and mezzotints. Despite wide popular interest, Escher was for most of his life neglected in t ...
first printed in April 1946. As the title implies, it depicts three
sphere A sphere () is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance from a given point in three-dimensional space.. That given point is th ...
s resting on a flat surface. The sphere on the left is transparent with a
photorealistic Photorealism is a genre of art that encompasses painting, drawing and other graphic media, in which an artist studies a photograph and then attempts to reproduce the image as realistically as possible in another medium. Although the term can be ...
depiction of the
refracted In physics, refraction is the redirection of a wave as it passes from one medium to another. The redirection can be caused by the wave's change in speed or by a change in the medium. Refraction of light is the most commonly observed phenomeno ...
light cast through it towards the viewer and onto the flat surface. The sphere in the center is reflective. Its
reflection Reflection or reflexion may refer to: Science and technology * Reflection (physics), a common wave phenomenon ** Specular reflection, reflection from a smooth surface *** Mirror image, a reflection in a mirror or in water ** Signal reflection, in ...
is a self-replicating image of Escher in his studio drawing the three spheres. In the reflection one can clearly see the image of the three spheres on the paper Escher is drawing on: in the center sphere of that image, one can vaguely make out the reflection of Escher's studio, which is depicted in the main image. This process is implied to be infinite,
recursive Recursion (adjective: ''recursive'') occurs when a thing is defined in terms of itself or of its type. Recursion is used in a variety of disciplines ranging from linguistics to logic. The most common application of recursion is in mathematics ...
. The sphere on the right is
opaque Opacity or opaque may refer to: * Impediments to (especially, visible) light: ** Opacities, absorption coefficients ** Opacity (optics), property or degree of blocking the transmission of light * Metaphors derived from literal optics: ** In lingu ...
and diffuse, i.e. neither specularly reflective nor transparent. The painting is in the Escher Museum in The Hague.


See also

*'' Still Life with Spherical Mirror'' *'' Hand with Reflecting Sphere'' * Printmaking


Sources

*Locher, J. L. (2000). ''The Magic of M. C. Escher''.
Harry N. Abrams, Inc. Abrams, formerly Harry N. Abrams, Inc. (HNA), is an American publisher of art and illustrated books, children's books, and stationery. The enterprise is a subsidiary of the French publisher La Martinière Groupe. Run by President and CEO Michael ...
. {{printmaking-stub Works by M. C. Escher 1946 paintings Mirrors in art