Negative Photo Illusion

negative photo illusion

The negative photo illusion is a type of optical illusion that is created when a person views a negative image of a photo.

This illusion can cause the brain to perceive the image as if it were a positive image, even though it is inverted.

This illusion can be especially striking when the negative image is compared side-by-side with the original positive image, as the differences between the two can be quite pronounced.

The negative photo illusion can be a fun and interesting way to challenge one’s visual perception and understanding of images, and can also be used to help demonstrate the workings of the brain and the ways in which it processes visual information.

To give it a try, stare at the image below for 30 seconds and then look to a white surface. It may help to blink a few times when staring at the white surface it it doesn’t work for you the first time.

negative photo illusion
Negative Photo Illusion


Table of Contents


How does the Negative Photo Illusion work?

The negative photo illusion works by exploiting the way our brain processes visual information. Our brains are very good at recognizing patterns and objects, even when they are presented in a slightly different form. When we look at a positive image, our brain quickly recognizes the objects and their relationships to each other, and interprets the image accordingly.

When a positive image is transformed into a negative image, the colors and brightness levels of the objects are reversed. This inversion can disrupt the way our brain recognizes the objects and their relationships, causing us to perceive the negative image as if it were a positive image.

However, despite the inversion, our brain still tries to make sense of the image by recognizing the objects and their relationships to each other, even though they appear different than they would in a positive image. As a result, our brain can perceive the negative image as if it were a positive image, even though it is inverted.

In other words, the negative photo illusion works by taking advantage of the brain’s ability to recognize patterns and objects, and its tendency to interpret images in a way that makes sense, even if the image is inverted.

Negative Photo Illusions vs. Afterimages

Negative photo illusions and positive afterimages are similar in that they both involve the perception of an image that is different from the way it actually appears. However, they are distinct types of optical illusions that are created by different mechanisms.

A positive afterimage is created when the stimulation of the photoreceptors in the eye continues even after the original stimulus is removed. This can cause the brain to perceive a ghost image that is the opposite color of the original image. For example, if you stare at a red image for a long time and then look at a white wall, you might see a green afterimage.

In contrast, a negative photo illusion is created by presenting the brain with an inverted version of an image, with the colors and brightness levels reversed. This can cause the brain to perceive the negative image as if it were a positive image, even though it is inverted.

So, while both negative photo illusions and positive afterimages involve the perception of an image that is different from the way it actually appears, they are created by different mechanisms and result in different types of optical illusions.

Versions of the Negative Photo Illusion

The following is an alternate versions of the Negative Photo Illusion and a few Afterimage examples too:

negative photo illusion



After Image afterimage



After Image afterimage



After Image afterimage
Stare at the center of a single circle for 30 seconds then divert to a white surface. Experiment with the different colors.






Illusions like the Negative Photo Illusion

The negative photo illusion is a type of optical illusion. Optical illusions are visual phenomena that occur when the brain perceives an image differently from the way it actually is. These illusions can be caused by a variety of factors, including the way the brain processes visual information, the way the eyes perceive light and color, and the way the brain fills in missing information.

The negative photo illusion is a specific type of optical illusion that is created when a person views a negative image of a photo. By presenting the brain with an inverted version of an image, the illusion tricks the brain into perceiving the image as if it were a positive image, even though it is inverted. This illusion is an example of how the brain’s visual processing can be influenced by the way information is presented.

Some related illusions include the following:

The afterimage illusion is a type of visual illusion in which an image continues to appear in the observer’s visual field after the original stimulus has been removed.

This can occur due to the persistence of neural activity in the visual system, and can take the form of a positive afterimage (an image that is the same color as the original stimulus) or a negative afterimage (an image that is the opposite color of the original stimulus).

Afterimage illusions can be caused by a variety of factors, including the duration and intensity of the original stimulus, and the observer’s individual visual characteristics.

Stare at the image below for 30 seconds and then look to a white surface.


After Image afterimage
Afterimage illusion


The Checker Shadow Illusion is created by a checkerboard pattern composed of squares with different luminance values, the squares that are not directly illuminated by the light source appear darker than the illuminated squares, creating the illusion of shadows.

Edelson-Checker_shadow_illusion
Checker Shadow Illusion


The simultaneous contrast illusion is a visual effect that occurs when the perception of a color is affected by the colors of the surrounding area.

The illusion creates the appearance of a change in the color of an object, even though the actual color of the object remains constant.


Simultaneous Contrast Effect
The center green dot is the same on both sides, but the surrounding color changes the perception


The Neon Color Spreading illusion refers to the visual phenomenon where an area of color appears to spread or “bleed” beyond its intended boundaries.

Neon Color Spreading
From Wikimedia Commons


The Bezold Effect: This illusion is created by placing two or more colors next to each other, and the way they appear to change when they are close to one another.  

Bezold_Effect
from Wikimedia Commons


The Cornsweet illusion is a classic example of a brightness illusion, which is an illusion in which two areas that are physically the same brightness appear to be different in brightness.

Cornsweet illusion
Cornsweet illusion

The Chubb illusion is based on the perception of brightness and can be observed when a small bright patch is surrounded by a larger dark area, the small bright patch will appear brighter than the same patch surrounded by a bright area.

Chubb Illusion

White’s illusion is a visual phenomenon in which two identical gray bars are placed on a background of alternating black and white stripes.

The gray bars appear to be different shades of gray, with the one on the white stripes appearing lighter than the one on the black stripes.

In the image below, both gray bars have the exact same color.

White's Illusion
White’s Illusion

The Watercolor Illusion: This illusion is created by the way the brain perceives edges of an object. When an object is surrounded by a colored halo, the object appears to have a different color than it actually does.

Watercolor Illusion


The Café Wall Illusion is a visual illusion that is created by a grid of alternating light and dark horizontal and vertical lines. The lines appear to be bent or tilted, even though they are actually straight.

Cafe Wall Illusion


Discovery of the Negative Photo Illusion

The concept of the negative photo illusion has likely been around for as long as people have been creating and viewing photographs. The idea of inverting colors and brightness levels to create a negative image of a photo has been known since the invention of photography. However, the term “negative photo illusion” and the specific understanding of how this illusion works on the brain may have been discovered and documented more recently.

It’s difficult to attribute the discovery or invention of the negative photo illusion to a specific person or group, as it is a relatively common phenomenon that is easily observable. Nevertheless, the concept of optical illusions and the study of how the brain perceives visual information has been the subject of much research and exploration in the fields of psychology, neuroscience, and vision science.

The phenomenon of afterimages, also known as persistence of vision, has been known for centuries.

The ancient Greeks and Romans were aware of the phenomenon, and it was also described by the ancient Chinese and Arab scholars.

The earliest scientific study of afterimages was done by the German scientist Hermann von Helmholtz in the 19th century.

He published a book in 1867 titled “Handbook of Physiological Optics” which gave a detailed explanation of the phenomenon, including the theory that afterimages were caused by the retina’s sensitivity to light.

This study is considered as one of the earliest and most comprehensive explanations of the afterimage effect.

References and Resources

Check out our complete list of illusions.

Sign Up to Have Your Mind Blown

Drawing Hands by Escher

Drawing Hands by Escher

“Drawing Hands” is a famous lithograph by the Dutch artist M.C. Escher. It was created in 1948 and is considered one of Escher’s most famous works.

The image depicts two hands that seem to be drawing each other. The left hand holds a pencil and appears to be drawing the outline of the right hand, while the right hand holds a pencil and appears to be drawing the outline of the left hand. This creates a paradoxical and circular composition, as the hands seem to be both creating and being created by each other.

The image is a good example of Escher’s interest in optical illusions and impossible constructions. The hands are depicted with a high degree of realism, yet they are placed in an impossible and self-referential configuration, challenging our perception of reality. The hands also create a visual link between the act of creation and the act of perception, as if the viewer is witnessing the process of creation happening before their eyes.

“Drawing Hands” is considered one of Escher’s most iconic works and continues to captivate audiences with its paradoxical and visually engaging composition


Drawing Hands by Escher
Drawing Hands by Escher


Table of Contents

How does Drawing Hands by Escher work?

The illusions in M.C. Escher’s “Drawing Hands” work through the manipulation of perspective, spatial relationships, and the use of mirrored reflections. Escher carefully crafted the composition of the two hands to create the illusion that they are drawing each other in a circular and self-referential manner.

The hands are depicted in a way that appears to be anatomically correct, with a high degree of realism. The placement of the hands and the positioning of the pencils creates the illusion of depth and the impression that the hands are reaching out towards the viewer. The circular composition of the hands creates a paradoxical and impossible construction, as the hands seem to be both creating and being created by each other.

Additionally, the use of mirrored reflections reinforces the illusion of a continuous and self-referential space. The reflection of the hands in the surface beneath them creates a visual connection between the two hands, as if they are two sides of the same object.

Overall, the illusions in “Drawing Hands” work through the combination of realistic depictions of the hands, the manipulation of perspective and spatial relationships, and the use of mirrored reflections. These techniques create a visually engaging and paradoxical composition that challenges our perception of reality.

Versions of Drawing Hands by Escher

The following are some alternate versions of Drawing Hands by Escher


Drawing Hands by Escher



Drawing Hands by Escher



Illusions like Drawing Hands by Escher

“Drawing Hands” by M.C. Escher contains several types of illusions, including:

  1. Optical Illusion: The image of the two hands appearing to draw each other creates a paradoxical and self-referential optical illusion. This illusion challenges our perception of reality by depicting a seemingly impossible construction.
  2. Forced Perspective: Escher used forced perspective to create the illusion of depth and the impression that the hands are reaching out towards the viewer. By carefully controlling the size and placement of the hands and pencils, he created the illusion of a three-dimensional space.
  3. Mirrored Reflection: The use of mirrored reflections reinforces the illusion of a continuous and self-referential space. The reflection of the hands in the surface beneath them creates a visual connection between the two hands, as if they are two sides of the same object.
  4. Paradox: The image of the two hands drawing each other creates a paradoxical construction, as the hands seem to be both creating and being created by each other. This paradoxical relationship is a key component of the illusion in “Drawing Hands.”

Overall, “Drawing Hands” contains several different types of illusions that work together to create a visually engaging and paradoxical composition.

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

Forced perspective is a technique used in photography, architecture, and other visual arts to manipulate the perception of the size and distance of objects.

It creates the illusion of a larger or smaller object, or of one that is closer or farther away, by carefully controlling the angles, proportions, and placement of objects in the scene.


Forced Perspective


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 Drawing Hands by Escher

“Drawing Hands” is a famous lithograph by the Dutch artist M.C. Escher. It was created in 1948 and is considered one of Escher’s most famous works.

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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Metamorphosis III by Escher

Escher,_Metamorphosis_III

“Metamorphosis III” by M.C. Escher is a woodcut print that showcases his skills in tessellation and transformation. The print features a series of shapes that seem to transform into each other, creating the illusion of a continuous cycle of transformation.

The print starts with a series of hexagons and becomes increasingly complex, with shapes that resemble birds, fish, and beetles transforming into each other. The shapes are arranged in such a way that they form a tessellation, a repeating pattern that covers the entire surface of the print.

The illusion of transformation is created through the use of similar shapes and patterns, as well as the way the shapes are arranged in relation to each other. The shapes are transformed gradually, with each shape becoming a smaller version of the shape that preceded it, creating the illusion of a never-ending cycle of transformation.

The use of color also plays a role in the illusion. The colors used in the print are muted, creating a sense of harmony and coherence, and the gradual change from one color to another reinforces the illusion of transformation.

Overall, “Metamorphosis III” is a masterful example of Escher’s skills in tessellation and transformation, showcasing his ability to create visually stunning and thought-provoking works that challenge the viewer’s perception of reality. The print is a testament to Escher’s mastery of mathematical principles and his ability to bring abstract concepts to life through his art.


Escher,_Metamorphosis_III
Metamorphosis III by Escher


Table of Contents

How does Metamorphosis III by Escher work?

M.C. Escher’s “Metamorphosis III” is a lithograph that features a series of transformed and interconnected architectural structures that create an optical illusion. The work is an example of impossible constructions, where the laws of perspective and gravity appear to be defied.

In this print, Escher used various techniques to create an illusion of multiple levels and impossible spaces. For example, he used a technique known as forced perspective, where he manipulated the size and placement of objects to create the illusion of depth and three-dimensionality. Additionally, he used repeated patterns and shapes to create the sense of a continuous space that transforms and interconnects in unexpected ways.

The print’s central image is a tower-like structure that appears to transform into a staircase, which then transforms into another tower, creating a never-ending cycle of transformation. This transformation is achieved through the use of interlocking shapes and a series of mirrored reflections that create the illusion of a continuous space.

Overall, the optical illusions in “Metamorphosis III” are created through the manipulation of perspective, the repetition of patterns and shapes, and the use of interlocking forms. These techniques work together to create a visually engaging and mind-bending image that challenges our perception of space and reality.

Versions of Metamorphosis III by Escher

The following are some alternate versions of Metamorphosis III by Escher


Escher,_Metamorphosis_II
Metamorphosis II by Escher


Escher,_Metamorphosis_I
Metamorphosis I by Escher



Illusions like Metamorphosis III by Escher

“Metamorphosis III” by M.C. Escher features several illusions, including:

  1. Transformation illusion: The print features a series of shapes that seem to transform into each other, creating the illusion of a continuous cycle of transformation. The illusion of transformation is created through the use of similar shapes and patterns, as well as the way the shapes are arranged in relation to each other.
  2. Tessellation illusion: The shapes used in the print are arranged in such a way that they form a tessellation, a repeating pattern that covers the entire surface of the print. This creates a sense of unity and coherence in the print and reinforces the illusion of transformation.
  3. Perception illusion: The gradual change from one shape to another and the use of muted colors create a sense of harmony and coherence in the print, making it difficult for the viewer to discern the individual shapes and to tell where one transformation ends and the next begins. This challenges the viewer’s perception and forces them to look more closely at the print to understand what is happening.

Overall, “Metamorphosis III” features a combination of transformation, tessellation, and perception illusions,

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 Metamorphosis III by Escher

“Metamorphosis III” is a woodcut print created by M.C. Escher in 1967 and 1968. The work 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.

Sign Up to Have Your Mind Blown

Day and Night by Escher

Day and Night by Escher

“Day and Night” is a woodcut print created by M.C. Escher in 1938. It is a visually striking image that showcases Escher’s mastery of optical illusions and his ability to create playful and intriguing images.

The print features a series of stylized birds and fish that seem to transform into each other as they change from night to day and back again. The birds are depicted as black silhouettes against a white background, while the fish are depicted as white silhouettes against a black background. The two patterns appear to be intertwined and interchangeable, creating an illusion of fluidity and transformation.

In the center of the print, there is a sphere that seems to represent the sun. The sphere is divided into two halves, with the white half representing daylight and the black half representing nighttime. The white half of the sphere casts light on the white fish, making them visible, while the black half of the sphere casts shadows on the black birds, making them disappear.

The print is notable for its use of tessellation, or repeated patterns of shapes that fit together seamlessly like tiles. The stylized birds and fish form a tessellation that covers the entire surface of the print, creating a sense of unity and coherence.

Overall, “Day and Night” 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. The print continues to captivate audiences with its intricate details and its depiction of a world where day and night seem to transform into each other.


Day and Night by Escher
Day and Night by Escher


Table of Contents

How does Day and Night by Escher work?

The illusions in M.C. Escher’s “Day and Night” work through a combination of tessellation, repetition, and transformation.

Tessellation is the repetition of shapes to form a seamless pattern, and in “Day and Night,” Escher uses tessellation to create a repeating pattern of birds and fish that seem to transform into each other as they change from night to day and back again. The birds are arranged in a pattern that forms stylized waves, while the fish are arranged in a similar pattern that forms the background of the sky. The two patterns appear to be intertwined and interchangeable, creating an illusion of fluidity and transformation.

Repetition is used to create a sense of unity and coherence in the print. The stylized waves and sky form a tessellation that covers the entire surface of the print, creating a sense of unity and coherence.

The transformation between birds and fish is created through a visual play on the viewer’s perception. The shapes and patterns used to depict the birds and fish are similar, and the two patterns are arranged in such a way that they appear to transform into each other as they change from night to day and back again. This creates the illusion of a world where day and night seem to transform into each other, adding to the playful and intriguing nature of the print.

The illusion of light and shadow is created through the use of contrasting colors. The sphere in the center of the print represents the sun, and is divided into two halves, with the white half representing daylight and the black half representing nighttime. The white half of the sphere casts light on the white fish, making them visible, while the black half of the sphere casts shadows on the black birds, making them disappear.

Overall, the illusions in “Day and Night” work through a combination of tessellation, repetition, transformation, and contrast, to create a visually striking and thought-provoking image. Escher’s mastery of these techniques creates a world where day and night seem to transform into each other in a playful and intriguing manner.

Versions of Day and Night by Escher

The following are some alternate versions of Day and Night by Escher


Day and Night by Escher


Day and Night by Escher



Illusions like Day and Night by Escher

“Day and Night” by M.C. Escher features several types of illusions, including:

  1. Transformation illusion: The print features a series of stylized birds and fish that seem to transform into each other as they change from night to day and back again. The illusion of transformation is created through a visual play on the viewer’s perception, as the shapes and patterns used to depict the birds and fish are similar, and the two patterns are arranged in such a way that they appear to transform into each other.
  2. Trompe-l’œil illusion: The illusion of a three-dimensional sphere in the center of the print is created through the use of shading and contrast, giving the impression of a real, spherical object.
  3. Light and shadow illusion: The illusion of light and shadow is created through the use of contrasting colors, with the white half of the sphere representing daylight and the black half representing nighttime. The white half of the sphere casts light on the white fish, making them visible, while the black half of the sphere casts shadows on the black birds, making them disappear.
  4. Tessellation illusion: The use of tessellation, or repeated patterns of shapes that fit together seamlessly like tiles, creates a sense of unity and coherence in the print. The stylized birds and fish form a tessellation that covers the entire surface of the print, creating a sense of unity and coherence.

Overall, “Day and Night” features a combination of trompe-l’œil, transformation, light and shadow, and tessellation illusions, making it 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.

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

Trompe-l’œil is a French term that means “trick the eye.”

It refers to a style of art that uses realistic depictions of three-dimensional objects to create the illusion of depth and a life-like appearance.

Trompe-l’œil paintings and murals are often used to create the illusion of an extended space or to make a room appear larger than it actually is.

Trompe-l'œil Capri
Trompe-L’œil


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 Day and Night by Escher

“Day and Night” is a woodcut print created by M.C. Escher in 1938. It is a visually striking image that showcases Escher’s mastery of optical illusions and his ability to create playful and intriguing images.

“Sky and Water I” is a woodcut print created by in 1938. The work 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.

Sign Up to Have Your Mind Blown

Sky and Water I by Escher

Sky and Water I

“Sky and Water I” is a woodcut print created by M.C. Escher in 1938.

It is one of his most famous works and is widely recognized for its playfulness, intricate details, and optical illusions.

The print features an intricate pattern of birds and fish that seem to transform into each other. The birds are arranged in a repeating pattern that forms a series of stylized waves, while the fish are arranged in a similar pattern that forms the background of the sky. The two patterns appear to be intertwined and interchangeable, creating an illusion of fluidity and transformation.

The print is notable for its use of tessellation, or repeated patterns of shapes that fit together seamlessly like tiles. The stylized waves and sky form a tessellation that covers the entire surface of the print, creating a sense of unity and coherence.

Overall, “Sky and Water I” 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. The print continues to captivate audiences with its intricate details and its depiction of a world where birds and fish seem to transform into each other.


Sky and Water I
Sky and Water I by Escher


Table of Contents

How does Sky and Water I by Escher work?

The illusions in M.C. Escher’s “Sky and Water I” work through a combination of tessellation, repetition, and transformation.

Tessellation is the repetition of shapes to form a seamless pattern, and in “Sky and Water I,” Escher uses tessellation to create a repeating pattern of birds and fish that seem to transform into each other. The birds are arranged in a pattern that forms stylized waves, while the fish are arranged in a similar pattern that forms the background of the sky. The two patterns appear to be intertwined and interchangeable, creating an illusion of fluidity and transformation.

Repetition is used to create a sense of unity and coherence in the print. The stylized waves and sky form a tessellation that covers the entire surface of the print, creating a sense of unity and coherence.

The transformation between birds and fish is created through a visual play on the viewer’s perception. The shapes and patterns used to depict the birds and fish are similar, and the two patterns are arranged in such a way that they appear to transform into each other. This creates the illusion of a world where birds and fish seem to transform into each other, adding to the playful and intriguing nature of the print.

Overall, the illusions in “Sky and Water I” work through a combination of tessellation, repetition, and transformation. Escher’s mastery of these techniques creates a visually striking and thought-provoking image that continues to captivate audiences today.

Versions of Sky and Water I by Escher

The following are some alternate versions of Sky and Water I by Escher


Sky and Water I


Sky and Water I



Illusions like Sky and Water I by Escher

The illusions in M.C. Escher’s “Sky and Water I” are primarily optical illusions created through tessellation, repetition, and transformation.

The tessellation of stylized waves and sky creates the illusion of a repeating pattern that covers the entire surface of the print. This repetition creates a sense of unity and coherence in the work.

The transformation between birds and fish is created through a visual play on the viewer’s perception. The shapes and patterns used to depict the birds and fish are similar, and the two patterns are arranged in such a way that they appear to transform into each other. This creates the illusion of a world where birds and fish seem to transform into each other, adding to the playful and intriguing nature of the print.

Additionally, the print can be seen as a form of impossible construction, as the birds and fish seem to transform into each other in a way that is not possible in the real world. This creates a paradoxical and visually striking image that challenges the viewer’s perception.

Overall, “Sky and Water I” showcases a variety of illusions, including tessellation, repetition, transformation, and impossible constructions, which are used to create a visually striking and thought-provoking image.

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 Sky and Water I by Escher

“Sky and Water I” is a woodcut print created by M.C. Escher in 1938. The work 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.

Sign Up to Have Your Mind Blown

Relativity by Escher

Relativity (M. C. 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.

Sign Up to Have Your Mind Blown

Waterfall by Escher

Waterfall (M. C. Escher)

“Waterfall” is a famous woodcut print by the Dutch artist M.C. Escher. The work was created in 1961 and is considered one of Escher’s most iconic and recognizable pieces.

The print depicts a seemingly impossible architecture with a waterfall that flows upward and through a gear system before cascading down into a pool below. The waterfall creates a hydroelectric power source which powers the gear system, creating a never-ending cycle of water flow. The architecture also features a bridge that leads to a small building, with stairs leading up and down in a continuous loop. The scene is surrounded by a lush forest, with trees and bushes growing both up and down.

“Waterfall” showcases Escher’s mastery of perspective, as well as his playful exploration of impossible constructions and the interplay between two-dimensional and three-dimensional space. The piece has become one of Escher’s most beloved works and is widely recognized as a masterpiece of optical illusion and mathematical art.


Waterfall (M. C. Escher)
Waterfall by Escher


Table of Contents

How does Waterfall by Escher work?

The illusions in M.C. Escher’s “Waterfall” print are created through his use of mathematical principles and manipulation of perspective.

The central illusion in the piece is the waterfall appearing to flow upward and through a gear system before cascading down into a pool below.

This seemingly impossible flow is achieved by Escher’s use of two different perspectives in the same image.

The top half of the print shows a birds-eye view of the waterfall and gear system, while the bottom half shows a worm’s-eye view of the pool and surrounding landscape.

In the top half of the print, the waterfall is depicted flowing downward and into the gear system, which redirects the water back up and through the top of the gears before cascading downward again.

This creates a loop that makes the water appear to flow continuously and impossibly upward.

The interlocking gears also add to the illusion, as they suggest a mechanical movement that is driving the water’s flow.

The bottom half of the print shows the pool and surrounding landscape from a worm’s-eye view, which gives the impression that the water is actually flowing downward and into the pool.

This creates a seamless connection between the top and bottom halves of the print and reinforces the illusion of an impossible and cyclical flow of water.

Overall, Escher’s use of mathematical principles and perspective manipulation in “Waterfall” creates an intriguing optical illusion that has captivated audiences for decades.

Versions of Waterfall by Escher

The following are some alternate versions of Waterfall by Escher

Waterfall by Escher


Waterfall by Escher



Illusions like Waterfall by Escher

The illusions in M.C. Escher’s “Waterfall” 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. “Waterfall” is an example of an impossible construction because it features a building, a bridge, and stairs that seem to lead up and down in a continuous loop, which is impossible in the physical 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 Waterfall by Escher

“Waterfall” is a famous woodcut print by the Dutch artist M.C. Escher. The work was created in 1961 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.

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Pareidolia

Pareidolia

Pareidolia is a psychological phenomenon in which the brain unconsciously perceives recognizable patterns or objects in random or ambiguous stimuli.

This can manifest in various ways, such as seeing faces in clouds, the moon, or other random shapes, hearing recognizable sounds in random noise, or interpreting random data as having meaningful significance.

Pareidolia is a type of apophenia, which is the tendency to see meaningful patterns in random or meaningless data. It is a natural part of human cognition and can serve as a survival mechanism, helping the brain to quickly identify potential threats in the environment.

However, pareidolia can also lead to misunderstandings and false perceptions. For example, some people might see religious imagery or messages in random patterns, leading to claims of miracles or supernatural phenomena. In other cases, pareidolia can lead to overinterpretation of scientific data or to conspiracy theories.

Overall, pareidolia is a fascinating aspect of human cognition and serves as an important reminder of the limitations of human perception and interpretation.

Pareidolia
Pareidolia


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How does Pareidolia work?

Pareidolia works by the brain unconsciously perceiving recognizable patterns or objects in random or ambiguous stimuli.

The brain is wired to recognize patterns and make sense of the world around us, and pareidolia is an example of how this process can sometimes lead to false perceptions.

Here’s how it works:

  1. Ambiguous stimuli: The brain is presented with stimuli that is unclear or open to interpretation, such as a random arrangement of shapes or a series of sounds that lack a clear pattern.
  2. Pattern recognition: The brain naturally seeks to identify patterns and make sense of the stimuli. In the case of pareidolia, it perceives recognizable patterns or objects in the ambiguous stimuli.
  3. False perception: The brain unconsciously creates a false perception of the stimuli, seeing a face in a cloud, for example, or hearing recognizable sounds in random noise.
  4. Confirmation bias: The brain tends to look for evidence to support its initial perception, leading to a confirmation bias that reinforces the false perception.

Overall, pareidolia works by the brain unconsciously perceiving recognizable patterns or objects in random or ambiguous stimuli, leading to the creation of a false perception.

While pareidolia can serve important functions, such as helping the brain to quickly identify potential threats in the environment, it can also lead to misunderstandings and false perceptions.


Versions of Pareidolia

The following are some alternate versions of Pareidolia:

Pareidolia


Pareidolia



Illusions like Pareidolia

Pareidolia is a type of perceptual illusion, specifically a form of apophenia. Apophenia is the tendency to see meaningful patterns or connections in random or meaningless data.

In the case of pareidolia, the brain unconsciously perceives recognizable patterns or objects in random or ambiguous stimuli, leading to the creation of a false perception.

For example, seeing faces in clouds, hearing recognizable sounds in random noise, or interpreting random data as having meaningful significance.

Pareidolia is a form of visual illusion in that it involves the misinterpretation of sensory information, leading to a false perception of patterns or objects in the environment.

It is also related to other types of illusions, such as optical illusions and auditory illusions, in that it involves the misperception of sensory information.

Some examples of illusions like Pareidolia include:

Illusory contours are visual stimuli that appear to form a boundary or shape, but in reality do not exist as a solid object.

Illusory contours are created by the brain’s interpretation of visual information, such as the arrangement and contrast of lines and shapes in the visual field.

The brain perceives these stimuli as a solid edge or contour, even though no physical boundary is present. Illusory contours are a well-known phenomenon in the field of visual perception, and are often used to study the brain’s interpretation of visual information.


Illusory Contour
Illusory Contours – Ehrenstein Figure


The Kanizsa triangle is a visual illusion that was first described by the Italian psychologist Gaetano Kanizsa in 1955. The illusion consists of a white equilateral triangle that appears to be surrounded by three Pac-Man-like shapes, which are black and have white crescents facing inwards.

The three Pac-Man-like shapes are actually made up of three partially-overlapping circles with white edges that create the illusion of a triangle.

Kanizsa Triangle Illusion
The Kanizsa Triangle

The Muller-Lyer illusion: an illusion in which two lines of the same length appear to be of different lengths due to the presence of arrowheads at the ends of the lines.


müller-lyer illusion



The Poggendorff illusion: an illusion in which two lines that are parallel in reality appear to be skewed or converging due to the presence of a third shape in the foreground.


Poggendorff illusion transparent gray bar



The Café Wall illusion: an illusion in which the lines that form a tiled wall appear to be skewed or distorted due to the presence of contrasting colored tiles.

Cafe Wall Illusion



The Zöllner illusion: an illusion in which parallel lines appear to be skewed or converging due to the presence of intersecting lines at an angle.

Zöllner illusion

The Ebbinghaus illusion: This illusion involves circles of different sizes, but with the same-sized circles placed close to each other. The brain perceives the smaller circles as being larger when they are placed next to larger circles.

Ebbinghaus Illusion


The T illusion: This illusion involves a T-shaped figure with a horizontal bar and a vertical bar. The brain perceives the vertical bar as being longer than the horizontal bar, even though they are the same length.


T Illusion


Moon illusion: This illusion involves the perception of the Moon appearing larger when it is near the horizon compared to when it is high in the sky.


Moon Illusion



Ponzo illusion: This illusion involves the perception of an object appearing larger or smaller depending on the size of the surrounding context.

Ponzo Illusion


All these illusions work by exploiting the way the brain processes visual information and the way it interprets the relationship between different elements in an image. Illusory contours are thought to be created by the activity of neurons that respond selectively to edges and contours in the visual field, which can be influenced by different visual cues.


Discovery of Pareidolia

The phenomenon of pareidolia has been known and documented by humans for centuries, but it wasn’t given a formal name or systematic study until modern times.

The term “pareidolia” was first used by psychologist Carl Jung in the early 20th century to describe the tendency to see meaningful patterns in random stimuli.

Since then, pareidolia has been the subject of research and study in the fields of psychology, neuroscience, and perception, with many scientists and researchers exploring the underlying mechanisms and implications of this phenomenon.

While it’s difficult to say who exactly “discovered” pareidolia, Carl Jung’s use of the term marked a major step forward in the systematic study and understanding of this fascinating aspect of human cognition.

Carl Jung was a Swiss psychologist and psychiatrist who was born in Kesswil, Switzerland in 1875. He is best known as the founder of analytical psychology, which is a school of psychology that emphasizes the role of the unconscious mind in shaping human behavior and experience.

Jung’s work was deeply influenced by his training in psychiatry and his interest in Eastern philosophy, spirituality, and mythology. He developed the concept of the collective unconscious, which is the idea that the unconscious mind is not just personal, but also collective, containing universal archetypes and symbols that are shared by all humans.

Jung’s ideas have had a significant impact on the field of psychology and on the larger culture, influencing fields such as literature, film, and art. He wrote many influential books and articles, including “Man and His Symbols,” “Memories, Dreams, Reflections,” and “The Interpretation of Dreams.”

Overall, Carl Jung was a highly influential figure in the field of psychology and is considered one of the founding figures of modern psychology. His ideas continue to shape our understanding of the human mind and human behavior to this day.


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Infinity Mirror

Infinity mirror

An infinity mirror is a type of optical illusion created by reflecting a source of light repeatedly between two parallel mirrors, creating a seemingly infinite series of reflections that fade into the distance.

The effect is achieved by using one mirror that is partially transparent, allowing some of the light to pass through and escape from the series of reflections.

This creates the illusion of an infinite reflection, hence the name “infinity mirror.” Infinity mirrors are often used for artistic or decorative purposes and can add a mesmerizing effect to any space.


Infinity mirror
Infinity mirror


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How do Infinity Mirrors work?

An infinity mirror works by reflecting light between two parallel mirrors.

The first mirror is a regular mirror, while the second mirror is partially transparent, allowing some of the light to escape and pass through to the other side.

Here’s how it works in detail:

  1. A light source, such as an LED light, is placed at one end of the mirror setup.
  2. The light from the source is reflected by the first mirror, creating a reflection.
  3. This reflection is then reflected by the second mirror, and the process is repeated multiple times, creating a series of reflections that appear to fade into the distance.
  4. The partially transparent mirror allows some of the light to pass through, creating the illusion that the reflections are continuing into the distance.
  5. The final result is an optical illusion of an infinitely long series of reflections, hence the name “infinity mirror.”

This illusion can be created in a variety of shapes and sizes and can be used for artistic or decorative purposes.

The mesmerizing effect of an infinity mirror often captivates viewers and can add a unique touch to any room or space.

Versions of the Infinity Mirrors

The following are some alternate versions of the Infinity Mirrors:

Infinity mirror


Infinity mirror




Illusions like Infinity Mirrors

An infinity mirror is a type of optical illusion that creates a seemingly endless series of reflections.

It’s a perceptual illusion that tricks the mind into perceiving a much larger space than what is actually present.

The reflection of light between two mirrors is what creates the illusion, and the partially transparent mirror that allows some of the light to escape is what gives the illusion its depth and makes it appear as though the reflections go on forever.

This illusion is often used for artistic or decorative purposes and can create a fascinating and mesmerizing effect.

Some related illusions include the following:

Anamorphic street art is a form of street art that uses optical illusion to create a three-dimensional image when viewed from a specific angle.

Anamorphic street art is often created by distorting the image, so that when it is viewed from a specific viewpoint, the image appears to be three-dimensional and in full perspective.

It is often seen as a way of transforming urban spaces into playful, interactive environments.

Anamorphic street art
Anamorphic Street Art

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.


Discovery of Infinity Mirrors

The concept of an infinity mirror is not necessarily the invention of a single person. The use of mirrors to create optical illusions and the idea of using partially reflective surfaces to create an illusion of depth have been around for centuries.

Yayoi Kusama is a Japanese artist helped popularize the infinity mirrow. She is known for her work in a variety of media, including painting, sculpture, installation art, performance art, and literary works. Born in 1929 in Matsumoto, Japan, Kusama has been a major figure in the international art world for many years and is widely recognized as one of the most important and influential artists of the 20th and 21st centuries.

Kusama is perhaps best known for her large-scale installations, many of which feature repetitive patterns and shapes that are intended to evoke a sense of infinite space. One of her signature forms of expression is the use of the infinity mirror, which she has used in a variety of ways throughout her career.

Her work is characterized by its vibrant colors, bold forms, and repetitive patterns, and she often creates immersive, multi-sensory installations that challenge conventional perceptions of space and time. Kusama’s work has been widely exhibited in museums and galleries around the world and has been the subject of numerous solo exhibitions and retrospectives. Today, she continues to work and create new works of art, and her influence on the art world is widely acknowledged.

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Penrose Figures

Penrose Shapes

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

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How do the Penrose Shapes work?

Penrose shapes work by exploiting the limitations of human perception.

They create the illusion of objects that violate the laws of three-dimensional geometry, by arranging two-dimensional lines and shapes in such a way as to suggest depth and perspective.

Our brains interpret these lines and shapes as representing a three-dimensional object, even though the object depicted is physically impossible.

The illusion arises because our brain relies on certain assumptions and expectations about the way objects should behave in space, and these assumptions are violated by the impossible objects depicted in Penrose figures.

As a result, our perception of the object is altered, and we see something that is not actually there.

The exact way that Penrose figures work is still not fully understood, and they continue to be a subject of study in the fields of psychology, neuroscience, and mathematics.

Penrose shapes have been used to study cognitive psychology and perception as it is a good example of how the human brain can be deceived by visual illusions, and also how we perceive and interpret visual information.

Versions of the Penrose Shapes

The following are some alternate versions of the Penrose Shapes:

Penrose Pentagram
Penrose Pentagram


Penrose torus
Penrose Torus




Penrose Pentabar
Penrose Pentabar

Penrose Trefoil
Penrose Trefoil

Penrose Angstrom
Penrose Angstrom



Illusions like Penrose Shapes

Penrose shapes are an optical illusion. They create the illusion of three-dimensional objects that appear to violate the laws of geometry, and as a result, our perception of the object is altered, and we see something that is not actually there.

Penrose shapes are a type of impossible object, which are objects that appear to be logically and physically impossible.

They are also a type of Paradox illusion. Paradox illusions are a type of optical illusion that involve images that appear to be self-contradictory or impossible. They typically involve the manipulation of visual cues such as size, shape, movement, and depth perception to create an image that appears to be impossible or defies our understanding of the physical world.

In general, these illusions work by exploiting the way the visual system processes information. The brain relies on certain cues, such as perspective, shading, and texture, to infer the 3D structure of an object. When these cues are manipulated in a certain way, the brain can be fooled into perceiving an impossible or self-contradictory image.

Some related illusions include the following:

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.


Discovery of Penrose Shapes

Penrose shapes were first described by the British mathematician and philosopher Roger Penrose in the 1950s.

He published a paper on the topic in 1958, in which he introduced the concept of impossible objects and demonstrated how they could be used to create illusions that challenge our perception of the world. P

enrose’s work was inspired by the artist M.C. Escher, who was known for his use of impossible objects in his art, and Penrose sought to understand the mathematical and perceptual principles behind these illusions. His work laid the foundation for the field of impossible objects, and his name has become synonymous with the concept of impossible figures.

Today, Penrose shapes continue to be a subject of study in the fields of psychology, neuroscience, and mathematics, and they are widely recognized as one of the most famous examples of optical illusions.

One of the more famous Penrose shapes, the Penrose stairs, was first created by the British mathematician and physicist Roger Penrose and his father Lionel Penrose, a psychiatrist and mathematician, in the 1950s.

Sir Roger Penrose is a renowned British mathematical physicist and Nobel laureate. He was born in 1931 and is still active today. He is known for his work in the fields of cosmology, general relativity, and quantum mechanics. He was awarded the Nobel Prize in Physics in 2020, jointly with Reinhard Genzel and Andrea Ghez, for his contributions to the understanding of the properties of black holes.

Penrose’s research has focused on the fundamental nature of space and time and the structure of the universe, he proposed new ways of understanding the Big Bang, black holes, and the nature of the universe itself. He has also been interested in the connection between physics and mathematics, particularly in the area of geometry. Penrose has written several books on these topics, which have been widely read and discussed by both scientists and the general public.

Penrose is also known for his work on the concept of “cosmic censorship” which is a theory that states that the singularities that occur in black holes are always hidden from the outside observer. He also developed new mathematical techniques, such as the Penrose diagram, which are used to describe the behavior of black holes and other singularities. Penrose is considered one of the most influential theoretical physicist of the 20th century and his work has had a significant impact on our understanding of the universe.

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