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| journal British Journal of Psychology | year = 1958 | volume = 49 | pages = 31-33
| journal British Journal of Psychology | year = 1958 | volume = 49 | pages = 31-33
}}</ref> and (independently) by [[Oscar Reutersvärd]].
}}</ref> and (independently) by [[Oscar Reutersvärd]].

==Description==
The image depicts a village or small city with an elevated [[aqueduct]] and [[waterwheel]] as the main feature. The aqueduct begins at the waterwheel and flows behind it. The walls of the aqueduct step downward, suggesting that it slopes downhill. The aqueduct turns sharply three times, first to the left, then straight forward and finally to the left again. The viewer looks down at the scene diagonally, which means that from the viewer's perspective the aqueduct appears to be slanted upward. The viewer is also looking across the scene diagonally from the lower right, which means that from the viewer's perspective the two left-hand turns are directly in line with each other, while the waterwheel, the forward turn and the end of the aqueduct are all in line. The second left-hand turn is supported by pillars from the first, while the other two corners are supported by a tower of pillars that begins at the waterwheel. The water falls off the edge of the aqueduct and over the waterwheel in an infinite cycle; in his notes on the picture, Escher points out that some water must be periodically added to this apparent [[perpetual motion]] machine to compensate for [[evaporation]]. The two support towers continue above the aqueduct and are topped by two compound [[polyhedra]]. The one on the left is a [[compound of three cubes]]. The one on the right is a [[stellation]] of a [[rhombic dodecahedron]] (or a compound of three non-regular [[octahedron|octahedra]]).

Below the mill is a garden of bizarre, giant plants. This is actually a magnified view of a cluster of [[moss]] and [[lichen]] which Escher drew in ink as a study in 1942.

The background seems to be a climbing expanse of [[terrace (agriculture)|terraced]] farmland.

This drawing seemingly violates the Principle of Conservation of Total Energy of physics due to the fact that the water gains kinetic energy, but does not lose any gravitational energy.


==References==
==References==

Revision as of 23:59, 6 January 2012

Waterfall
ArtistM. C. Escher
Year1961
Typelithograph

Waterfall is a lithograph print by the Dutch artist M. C. Escher which was first printed in October, 1961. It shows an apparent paradox where water from the base of a waterfall appears to run downhill before reaching the top of the waterfall.

While most two-dimensional artists use relative proportions to create an illusion of depth, Escher here and elsewhere uses conflicting proportions to create a visual paradox. The waterfall has the structure of a Penrose triangle, an impossible object designed by Lionel Penrose and his son Roger Penrose,[1] and (independently) by Oscar Reutersvärd.

Description

The image depicts a village or small city with an elevated aqueduct and waterwheel as the main feature. The aqueduct begins at the waterwheel and flows behind it. The walls of the aqueduct step downward, suggesting that it slopes downhill. The aqueduct turns sharply three times, first to the left, then straight forward and finally to the left again. The viewer looks down at the scene diagonally, which means that from the viewer's perspective the aqueduct appears to be slanted upward. The viewer is also looking across the scene diagonally from the lower right, which means that from the viewer's perspective the two left-hand turns are directly in line with each other, while the waterwheel, the forward turn and the end of the aqueduct are all in line. The second left-hand turn is supported by pillars from the first, while the other two corners are supported by a tower of pillars that begins at the waterwheel. The water falls off the edge of the aqueduct and over the waterwheel in an infinite cycle; in his notes on the picture, Escher points out that some water must be periodically added to this apparent perpetual motion machine to compensate for evaporation. The two support towers continue above the aqueduct and are topped by two compound polyhedra. The one on the left is a compound of three cubes. The one on the right is a stellation of a rhombic dodecahedron (or a compound of three non-regular octahedra).

Below the mill is a garden of bizarre, giant plants. This is actually a magnified view of a cluster of moss and lichen which Escher drew in ink as a study in 1942.

The background seems to be a climbing expanse of terraced farmland.

This drawing seemingly violates the Principle of Conservation of Total Energy of physics due to the fact that the water gains kinetic energy, but does not lose any gravitational energy.

References

  1. ^ Penrose, L. S.; Penrose, R. (1958). "Impossible objects: A special type of visual illusion". 49: 31–33. {{cite journal}}: Cite journal requires |journal= (help); Invalid |ref=harv (help); Text "journal British Journal of Psychology" ignored (help)