Relativity by Escher

“Relativity” is a lithograph created by M.C. Escher in 1953. It is one of his most famous works and is widely recognized for its playfulness, intricate details, and optical illusions.

The print depicts a world where the laws of gravity and direction are relative and interchangeable. In the image, there are three interlocking staircases that appear to lead in different directions and connect different levels of the building. The central staircase appears to lead both upward and downward, while the other two staircases appear to lead in opposite directions.

People are depicted walking on the stairs and along the hallways, and they seem to be affected by the relative gravitational pull in different parts of the building. Some appear to be walking on the ceiling or walls, while others appear to be upside down, suggesting that the laws of gravity are relative and dependent on one’s location in the building.

The print is notable for its use of impossible constructions, where a two-dimensional image depicts a three-dimensional object that could not exist in the real world. The interlocking staircases, combined with the relative gravity, create a seemingly impossible and paradoxical world that challenges the viewer’s perception.

Overall, “Relativity” is a visually striking and thought-provoking work that showcases Escher’s mastery of mathematical principles and his ability to create playful and intriguing optical illusions.


Relativity (M. C. Escher)
Relativity by Escher


Table of Contents

How does Relativity by Escher work?

The illusions in M.C. Escher’s “Relativity” work through a manipulation of perspective and the use of impossible constructions.

Perspective is the visual technique that artists use to create the illusion of depth and space in a two-dimensional image.

In “Relativity,” Escher employs perspective to create a seemingly three-dimensional world with interlocking staircases that appear to lead in different directions and connect different levels of the building.

An impossible construction is a two-dimensional image that depicts a three-dimensional object that could not exist in the real world.

In “Relativity,” the central staircase appears to lead both upward and downward, while the other two staircases appear to lead in opposite directions, creating an impossible and paradoxical world that challenges the viewer’s perception.

Additionally, the people in the print appear to be walking on the walls and ceiling, suggesting that the laws of gravity are relative and dependent on one’s location in the building. This further adds to the illusion and creates a world that is both confusing and captivating.

Overall, the illusions in “Relativity” work through a combination of mathematical principles, perspective, and impossible constructions.

Escher’s mastery of these techniques creates a visually striking and thought-provoking image that continues to captivate audiences today.

Versions of Relativity by Escher

The following are some alternate versions of Relativity by Escher

Relativity (M. C. Escher)


Relativity (M. C. Escher)



Illusions like Relativity by Escher

The illusions in M.C. Escher’s “Relativity” are primarily optical illusions and impossible constructions.

An optical illusion is a visual deception that occurs when the brain perceives something differently than it actually is. In “Waterfall,” the main optical illusion is the seemingly impossible flow of water upward and through a gear system, which appears to defy the laws of physics.

An impossible construction, also known as an impossible object, is a two-dimensional image that depicts a three-dimensional object that could not exist in the real world.

These illusions are created through Escher’s mastery of perspective and his manipulation of mathematical principles, such as the rules of perspective and the geometry of interlocking shapes. The result is a captivating and intriguing image that challenges the viewer’s perception and encourages a deeper engagement with the artwork.

Some related illusions include the following:

Penrose figures are impossible objects that were first described by the mathematician and philosopher Roger Penrose in the 1950s.

They are optical illusions that depict objects that appear to violate the laws of three-dimensional geometry. Penrose figures are typically drawn or represented as two-dimensional images, but they create the illusion of a three-dimensional object that cannot actually exist in the real world.

Some common examples of Penrose figures include the Penrose triangle, which appears to have vertices that join in impossible ways, and the Penrose stair, which appears to be a staircase that goes on forever, with the steps constantly descending and yet never reaching the bottom.

These figures challenge our perception of the world and have been used in art, architecture, and psychology to study the workings of the human mind and the limits of human perception.

Penrose Shapes
Penrose Shapes


The Penrose stairs, also known as the impossible staircase or the Penrose steps, is a visual illusion in the form of an impossible object created by the mathematician and physicist Roger Penrose.

The illusion is a two-dimensional representation of a staircase that appears to ascend or descend indefinitely, yet is physically impossible to climb or descend because the steps are not connected in a logical manner.

It is often used as an example of the type of optical illusion that can occur in the human brain and is used in cognitive psychology to study perception and attention.

Pensrose Staircase
The Penrose Staircase Illusion


The Penrose triangle, also known as the Penrose tribar, is an optical illusion that depicts a three-dimensional object that is physically impossible to construct.

Penrose Triangle

The Rubin vase, also known as the Rubin face or the figure-ground vase, is a famous optical illusion in which the image of a vase can also be perceived as two faces in profile looking at each other.


Rubin Vase Classic Black and White


The duck-rabbit illusion is an optical illusion that is an image that can be perceived as either a duck or a rabbit depending on how the viewer looks at it.

Duck Rabbit Illusion

The Necker cube is an optical illusion that features a simple wireframe drawing of a cube. The cube appears to switch back and forth between two different orientations.

Necker Cube

The My Wife and My Mother-in-Law illusion is an optical illusion with an image of a young woman’s face that can also be perceived as an older woman’s face.

Wife and Mother In Law

The Schröder Staircase is an optical illusion that features a drawing of a staircase. The staircase appears to be either ascending or descending, depending on how the brain interprets the angles of the lines.

Schroeders_stairs
From Wikimedia Commons

The impossible cube is an optical illusion that depicts a three-dimensional object that is physically impossible to construct.

Impossible Cube Illusion


The impossible trident is a three-pronged impossible shape resembling a trident. It is usually depicted as a three-pronged fork with each prong appearing to be a continuation of the next, creating an impossible shape.

Impossible Trident
From Wikimedia Commons

The spinning dancer illusion is a visual illusion that depicts a silhouette of a dancer spinning clockwise or counterclockwise. The direction of the dancer’s spin can appear to change depending on the viewer’s perception

Spinning Dancer Gif
From Wikimedia Commons

The impossible cylinder is an impossible shape resembling a cylinder similar to the Penrose triangleimpossible cube, and the impossible trident.

Impossible Cylinder

The Shepard elephant illusion is an optical illusion that was created by the artist David H. Shepard. The illusion is a black-and-white line drawing of an elephant that appears to be three-dimensional and in motion, despite being a flat, static image.

The illusion is created by using a technique called “anamorphosis,” which involves distorting an image in a specific way so that when it is viewed from a certain angle or perspective, it appears to be in a different form or shape.


Creation of Relativity by Escher

“Relativity” is a lithograph by the Dutch artist M.C. Escher. The work was created in 1953 and is considered one of Escher’s most iconic and recognizable pieces.

Maurits Cornelis (M.C.) Escher was a Dutch graphic artist born on June 17, 1898, in Leeuwarden, Netherlands. He was widely known for his mathematically inspired and often impossible constructions, as well as his use of tessellations, or repeated patterns of shapes that fit together seamlessly like tiles.

Escher’s works are characterized by their playfulness, intricate details, and optical illusions. He created many famous prints and drawings, including “Relativity,” “Sky and Water I,” and “Day and Night,” all of which showcase his fascination with impossible constructions and the interplay between two-dimensional and three-dimensional space.

Escher’s works have had a profound influence on mathematics, art, and popular culture, and continue to be widely recognized and celebrated today. He is considered one of the greatest graphic artists of the 20th century, and his works are prized by collectors and art enthusiasts all over the world.

M.C. Escher is widely known for his mathematically inspired and often impossible constructions, and his works are characterized by their playfulness, intricate details, and optical illusions. Some of his most famous works include:

Relativity” – A lithograph that depicts a world where gravity and direction are relative and interchangeable.

Waterfall” – A woodcut print that features a seemingly impossible flow of water that cascades upward and through a gear system before falling back down into a pool.

Sky and Water I” – A woodcut print that features an intricate pattern of birds and fish that seem to transform into each other.

Day and Night” – A woodcut print that features a world where the boundary between day and night is fluid and interchangeable.

Metamorphosis III” – A lithograph that features a series of interlocking shapes that seem to change and transform into one another.

Hands Drawing Hands” – A lithograph that features a series of hands drawing hands, creating a never-ending cycle of creation.

These works, and many others by Escher, continue to captivate and inspire audiences with their intricate details, playful illusions, and mathematical elegance.

References and Resources

Check out our complete list of illusions.

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