Three Hares

Three Hares

The Three Hares is a symbol consisting of three hares or rabbits chasing each other in a circular pattern. It is found in various cultures dating back to ancient China and in medieval churches in Europe.

It is thought to have symbolic meaning related to the Triple Goddess in pagan beliefs, or the Holy Trinity in Christianity. The symbol is also known as “The Tinners’ Rabbits” or “The Trinity Hares.”

Table of Contents

How does the Three Hares Illusion work?

The Three Hares design typically consists of three hares or rabbits arranged in a circular pattern, with each hare’s ears forming a part of the next hare’s ears.

The hares are depicted as if they are chasing each other in a never-ending cycle, with their ears forming a continuous loop.

The design is created by interlocking the ears of the hares in a specific way, so that the ears of each hare are visible on the next hare, forming a continuous loop.

The symbol is thought to have symbolic meaning related to the Triple Goddess in pagan beliefs, or the Holy Trinity in Christianity. It has also been suggested that it could be a symbol of rebirth, continuity, and the cycle of life.

Versions of the Three Hares Illusion

The following are some alternate versions of the Three Hares Illusion:

Three Hares


Three Hares


Illusions like the Three Hares Illusion

Ambiguous illusions are visual stimuli that can be interpreted in more than one way. These illusions typically consist of a single image that can be perceived in multiple ways. Ambiguous illusions can be used to study the neural mechanisms of perception and how the brain resolves ambiguity.

Some related illusions include the following:

A Möbius strip, named after the German mathematician August Möbius, is a one-sided non-orientable surface, which can be created by taking a rectangular strip of paper and giving it a half-twist, then joining the two ends of the strip together.

Mobius Strip
From Wikimedia Commons

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 Penrose stairs, also known as the impossible staircase or the Penrose steps, 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.

Pensrose Staircase

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 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

Discovery of the Three Hares Illusion

The origins of the Three Hares symbol are not well-documented, and the creators of the symbol are unknown.

The symbol has been found in various cultures and historical periods, dating back to ancient China, and in medieval churches in Europe.

It’s believed that the symbol may have originated in Asia and then spread to Europe via the Silk Road. It’s also possible that the symbol was independently created in different cultures, as the concept of three hares chasing each other in a circular pattern is a simple and intuitive image that could have been easily created by different cultures at different times.

There is no specific creator of the symbol that is known.

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Mobius Strip

Mobius Strip

A Möbius strip, named after the German mathematician August Möbius, is a one-sided non-orientable surface, which can be created by taking a rectangular strip of paper and giving it a half-twist, then joining the two ends of the strip together.

The result is a continuous loop with only one surface and one edge. It is a two-dimensional surface that has only one side and one edge. This means that if you were to walk along the edge of a Möbius strip, you would eventually return to your starting point, but on the other side of the strip.

Mobius Strip
From Wikimedia Commons

Table of Contents

How does the Mobius Strip Illusion work?

The Möbius strip is a fascinating mathematical object that has many interesting properties. It is a simple and elegant example of a non-orientable surface, which means that it cannot be consistently defined as having a “top” or “bottom” side. This can be demonstrated by drawing a line on one side of the strip, and following it all the way around. The line will eventually return to the starting point but will be on the opposite side of the strip.

The Möbius strip is also a fascinating object in terms of topology, which is the branch of mathematics that deals with the properties of shapes that are preserved under continuous transformations. The Möbius strip has many interesting topological properties and has been used to demonstrate a number of mathematical concepts, such as the concept of continuity and the concept of the Euler characteristic.

Möbius strips are also used in many engineering applications such as in the design of gears, tapes and conveyor belts, where the one-sidedness has certain advantages in reducing wear and tear.

The Möbius strip works by creating a surface that has only one side and one edge. It is created by taking a rectangular strip of paper and giving it a half-twist, then joining the two ends of the strip together. The result is a continuous loop with only one surface and one edge.

The key feature of the Möbius strip is that it is a non-orientable surface, which means that it cannot be consistently defined as having a “top” or “bottom” side. This can be demonstrated by drawing a line on one side of the strip, and following it all the way around. The line will eventually return to the starting point but will be on the opposite side of the strip.

The Möbius strip also has a number of interesting topological properties, which are properties that are preserved under continuous transformations. For example, the Möbius strip has only one edge, which means that it is not possible to separate the surface of the strip into two distinct parts without cutting the edge. Additionally, the Möbius strip has only one side, which means that it is not possible to consistently define a “top” or “bottom” side of the strip.

In terms of its mathematical properties, the Möbius strip has only one boundary component and its Euler characteristic is zero, which is different from a regular strip or a cylinder. The Euler characteristic is a topological invariant that can be calculated for any surface, and is related to the number of handles, holes and connected components of a surface.

In engineering, Möbius strips can be found in several applications, such as in the design of gears, tapes and conveyor belts, where the one-sidedness has certain advantages in reducing wear and tear. Additionally, the Möbius strip can be applied to the fields of computer science and physics, such as in knot theory, where it is used to study the properties of different types of knots and links.

Versions of the Mobius Strip Illusion

The following are some alternate versions of the Mobius Strip Illusion:

Mobius Strip

Mobius Stip
Google Drive Logo


Mobius Strip
Recycling Logo


Illusions like the Mobius Strip 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 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 Penrose stairs, also known as the impossible staircase or the Penrose steps, 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.

Pensrose Staircase

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 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

Discovery of the Mobius Strip Illusion

The Möbius strip was independently discovered by the German mathematicians August Möbius and Johann Benedict Listing in 1858.

August Möbius, who is considered the primary discoverer, was a German mathematician and astronomer who is best known for his work in topology, particularly for his discovery of the Möbius strip. He described his discovery in a paper published in 1858, entitled “Theory of Schlichen” (or “On the Characteristic Numbers of Multiply-Connected Manifolds”).

Johann Benedict Listing, a German mathematician also independently discovered the Möbius strip in the same year. He described it in his book “Vorstudien zur Topologie” (or “Preliminary studies of topology”).

The Möbius strip was not well-known or studied at the time of its discovery, but it has since become a classic example in the field of topology and has been used to demonstrate a number of mathematical concepts, such as the concept of continuity and the concept of the Euler characteristic.

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Penrose Staircase

Pensrose Staircase

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

Table of Contents

How does the Penrose Staircase Illusion work?

The Penrose stairs work by creating an illusion of a staircase that appears to be physically impossible.

The steps of the staircase are arranged in such a way that they appear to be connected, but in reality, they are not.

The human brain is fooled into perceiving the steps as being connected and therefore the illusion of a staircase that could be climbed or descended is created.

This illusion is created by using certain geometrical shapes such as rhombus and rectangles, which are arranged in a specific pattern.

The steps of the staircase are made up of two different types of rhombus shapes, one of which appears to be slanting upwards while the other appears to be slanting downwards.

This creates the illusion of a staircase that appears to be ascending or descending, while in reality, it is not possible to climb or descend the stairs.

The Penrose stairs 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 Staircase Illusion

The following are some alternate versions of the Penrose Staircase Illusion:



From Wikimedia Commons



From Wikimedia Commons


Illusions like the Penrose Staircase 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 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 Monroe-Einstein illusion works by playing with the viewer’s expectations about the relationships between the features of the faces and the viewer’s sense of facial proportions.

Monroe-Einstein

Discovery of the Penrose Staircase Illusion

It 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.

References and Resources

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Impossible Trident

Impossible Trident

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

Table of Contents

How does the Impossible Trident Illusion work?

The “impossible trident” works by manipulating the viewer’s perception of depth and angles. The angles of the prongs are carefully designed so that they appear to be connected in a way that violates the rules of spatial relationships. This creates an illusion of an impossible object that is difficult for the brain to process.

The brain relies on cues such as relative size, shadow, and perspective to perceive depth and understand spatial relationships. In the case of the impossible trident, the artist manipulates these cues to create an image that appears to be impossible.

It is similar to the Penrose triangle, but the Penrose triangle is a 2D representation of an impossible object, whereas the impossible trident is a 3D representation.

Versions of the Impossible Trident Illusion

The following is an alternate versions of the Impossible Trident Illusion:


Impossible Trident



Illusions like the Impossible Trident 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 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 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 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 Monroe-Einstein illusion works by playing with the viewer’s expectations about the relationships between the features of the faces and the viewer’s sense of facial proportions.

Monroe-Einstein

Discovery of the Impossible Trident Illusion

The impossible trident it is a common variation of the impossible figures and impossible objects, which were popularized by the artist and mathematician Roger Penrose in the 1950s and 60s. He created a famous impossible object called the Penrose triangle, which is a 2D representation of an impossible object.

Impossible figures and impossible objects have been used in art and graphic design for decades, and it is likely that the impossible trident was created by an artist or designer who was inspired by Penrose’s work and created a variation of it.

References and Resources

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Monroe Einstein

Monroe-Einstein

The Monroe-Einstein illusion is a visual illusion that features a photograph of two people, one of whom is Albert Einstein and the other is Marilyn Monroe.

Monroe-Einstein
The Monroe Einstein Illusion

Table of Contents

How does the Monroe Einstein Illusion work?

The Monroe-Einstein illusion works by playing with the viewer’s expectations about the relationships between the features of the faces and the viewer’s sense of facial proportions.

The brain uses cues such as the position of the eyes, nose and mouth, as well as the shape and size of the facial features, to create a sense of familiarity and recognition of the faces.

However, in this case, the brain is presented with conflicting information, such as the distorted and melting features, which creates the illusion of a distorted and melting faces.

This illusion also highlights the concept of “top-down processing” where the brain uses prior knowledge to interpret the visual information coming from the eyes.

The brain recognizes the faces of Albert Einstein and Marilyn Monroe, but it’s unable to reconcile the conflicting information, creating the illusion of distorted and melting faces.

The Monroe-Einstein illusion illustrates how the brain’s prior knowledge can be misleading and create an illusion, and how it organizes the information in a way that creates the most meaningful and coherent interpretation.

Versions of the Monroe Einstein Illusion

The following is some alternate version of the Monroe Einstein Illusion:


Illusions like the Monroe Einstein Illusion

Ambiguous illusions are visual stimuli that can be interpreted in more than one way. These illusions typically consist of a single image that can be perceived in multiple ways. Ambiguous illusions can be used to study the neural mechanisms of perception and how the brain resolves ambiguity.

Some related illusions include the following:

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 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 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

Discovery of the Monroe Einstein Illusion

The illusion was created by the artist George Redhawk in 2007.

References and Resources

Check out our complete list of illusions.

Sign Up to Have Your Mind Blown

Spinning Dancer

Spinning Dancer Gif

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

Table of Contents

How does the Spinning Dancer Illusion work?

The spinning dancer illusion works by exploiting the way the brain interprets the 2-dimensional image of a dancer silhouette, specifically the lines and angles of the dancer’s body, and the viewer’s sense of motion.

The image is ambiguous, and the brain can interpret the position of the dancer’s arms, the tilt of her head, and the direction of her gaze in different ways, creating the impression of motion in opposite directions.

The illusion works by playing with the viewer’s expectations about the relationships between the lines and angles of the dancer’s body and the viewer’s sense of motion.

The brain uses cues such as the position of the dancer’s arms, the tilt of her head, and the direction of her gaze to create the impression of motion in one direction, but then the brain starts to interpret the same cues in a different way creating the impression of motion in the opposite direction.

The brain is unable to reconcile the conflicting information, and it tends to flip between the two directions of motion, creating the illusion that the dancer is changing her spin direction.

This illusion also highlights the concept of “perceptual set” which refers to the brain’s ability to focus on specific aspects of the image and ignore others depending on the context and “top-down processing” where the brain uses prior knowledge to interpret the visual information coming from the eyes.

The spinning dancer illusion illustrates how the brain’s prior knowledge of how motion should look like can be misleading and create an illusion, and how it organizes the information in a way that creates the most meaningful and coherent interpretation.

Versions of the Spinning Dancer Illusion

The following are some alternate versions of the Spinning Dancer Illusion:

Spinning Dancer GIF colorful versions


Illusions like the Spinning Dancer Illusion

Ambiguous illusions are visual stimuli that can be interpreted in more than one way. These illusions typically consist of a single image that can be perceived in multiple ways. Ambiguous illusions can be used to study the neural mechanisms of perception and how the brain resolves ambiguity.

Some related illusions include the following:

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 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 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 Monroe-Einstein illusion works by playing with the viewer’s expectations about the relationships between the features of the faces and the viewer’s sense of facial proportions.

Monroe-Einstein

Discovery of the Spinning Dancer Illusion

The illusion was created by the web designer Nobuyuki Kayahara in 2003 and it quickly went viral on the internet.

References and Resources

Check out our complete list of illusions.

Sign Up to Have Your Mind Blown

Penrose Triangle

Penrose Triangle

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.

The illusion is a two-dimensional drawing that is designed to create the impression of a triangular structure, but the angles of the lines are inconsistent with the laws of Euclidean geometry, making it impossible to construct in the real world.

Penrose Triangle
The Penrose Triangle Illusion

Table of Contents

How does the Penrose Triangle Illusion work?

The Penrose triangle works by exploiting the way the brain interprets the 2-dimensional image of a triangular structure, but with impossible angles and lines that are inconsistent with the laws of Euclidean geometry.

These impossible angles and lines create a visual illusion of depth and three-dimensionality that is impossible to construct in the real world.

The illusion works by playing with the viewer’s expectations about the relationships between the lines and angles of the object and the viewer’s sense of depth.

The brain uses cues such as perspective, shading, and past experiences to create a 3-dimensional perception of the image.

However, in the case of the Penrose triangle, the brain is unable to reconcile the conflicting information, creating the illusion of an impossible object.

The Penrose triangle illusion also highlights the concept of “perceptual set” which refers to the brain’s ability to focus on specific aspects of the image and ignore others depending on the context.

The brain tends to focus on the lines and angles that suggest depth and three-dimensionality, while ignoring the impossible angles and lines that would make the object impossible to construct in the real world.

Additionally, the concept of “top-down processing” comes into play as the brain uses prior knowledge to interpret the visual information coming from the eyes, and tries to make sense of the image with the information it has.

The brain is unable to reconcile the conflicting information in the Penrose triangle, creating the illusion of an impossible object.

Versions of the Penrose Triangle Illusion

The following are some alternate versions of the Penrose Triangle Illusion:

Penrose Triangle clored
From Wikimedia Commons



Penrose Triangle
From Wikimedia Commons



Penrose Triangle rainbow GIF
From Wikimedia Commons


Illusions like the Penrose Triangle 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 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 Monroe-Einstein illusion works by playing with the viewer’s expectations about the relationships between the features of the faces and the viewer’s sense of facial proportions.

Monroe-Einstein

Discovery of the Penrose Triangle Illusion

It 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.

References and Resources

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Impossible Cube

Impossible Cube Illusion

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

The illusion is a two-dimensional drawing that is designed to create the impression of a cube-like structure, but the angles of the lines are inconsistent with the laws of Euclidean geometry, making it impossible to construct in the real world.

Impossible Cube Illusion
From Wikimedia Commons

Table of Contents

How does the Impossible Cube Illusion work?

The impossible cube works by exploiting the way the brain interprets the 2-dimensional image of a cube-like structure, but with impossible angles and lines that are inconsistent with the laws of Euclidean geometry.

These impossible angles and lines create a visual illusion of depth and three-dimensionality that is impossible to construct in the real world.

The illusion works by playing with the viewer’s expectations about the relationships between the lines and angles of the object and the viewer’s sense of depth.

The brain uses cues such as perspective, shading, and past experiences to create a 3-dimensional perception of the image.

However, in the case of the impossible cube, the brain is unable to reconcile the conflicting information, creating the illusion of an impossible object.

The impossible cube illusion also highlights the concept of “perceptual set” which refers to the brain’s ability to focus on specific aspects of the image and ignore others depending on the context.

The brain tends to focus on the lines and angles that suggest depth and three-dimensionality, while ignoring the impossible angles and lines that would make the object impossible to construct in the real world.

Additionally, the concept of “top-down processing” comes into play as the brain uses prior knowledge to interpret the visual information coming from the eyes, and tries to make sense of the image with the information it has.

In the case of the impossible cube, the brain’s prior knowledge of how a cube should look like makes it hard to reconcile the conflicting information, creating the illusion of an impossible

Versions of the Impossible Cube Illusion

The following are some alternate versions of the Impossible Cube Illusion:

Impossible Cube Colorful


Impossible Cube Gray and White


Illusions like the Impossible Cube 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 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 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 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 Monroe-Einstein illusion works by playing with the viewer’s expectations about the relationships between the features of the faces and the viewer’s sense of facial proportions.

Monroe-Einstein

Discovery of the Impossible Cube Illusion

This type of illusion was first created by the British mathematician and physicist Roger Penrose and his father Lionel Penrose, a psychiatrist and mathematician, in the 1950s.

The impossible cube is also associated with the Dutch graphic artist M.C. Escher. Escher was known for his use of impossible objects, such as the impossible cube, in his art.

Escher created a number of drawings and lithographs that feature impossible cubes, and other impossible objects like Penrose triangle, in the 1940s and 1950s.

He used these impossible figures to create mind-bending optical illusions and to explore the relationship between mathematics and art.

Although, Penrose and his father were the first to publish the concept of impossible object, Escher’s use of these impossible objects in his art popularized them, and made them well-known to the general public.

References and Resources

Check out our complete list of illusions and this Impossible Arch.

Schroeder Stairs

Schroeders_stairs

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.

In the image below, the direction of the stairs depends on whether you believe A or B to be the closer wall.

Schroeders_stairs
From Wikimedia Commons

Table of Contents

How does the Schroeder Stairs Illusion work?

The illusion is created by the way the brain interprets the 2-dimensional image of the staircase.

The brain can interpret the image in different ways, as a staircase that is going up or going down depending on how the brain organizes the information.

The illusion works by playing with the viewer’s expectations about the relationship between the lines of the staircase and the viewer’s sense of depth.

The brain uses cues such as perspective, shading, and past experiences to create a 3-dimensional perception of the image.

In the case of Schröder Stairs, the brain can interpret the lines of the staircase as either the front or back of a staircase.

Since there is no clear cue that indicates which interpretation is correct, the brain tends to flip between these two interpretations in a random manner, creating the illusion that the staircase is changing its orientation.

This illusion also highlights the concept of “perceptual set” which refers to the brain’s ability to focus on specific aspects of the image and ignore others depending on the context and “top-down processing” where the brain uses prior knowledge to interpret the visual information coming from the eyes.

Versions of the Schroeder Stairs Illusion

The following are some alternate versions of the Schroeder Stairs Illusion:


The Schröder Staircase


The Schröder Staircase


Illusions like the Schroeder Stairs Illusion

Ambiguous illusions are visual stimuli that can be interpreted in more than one way. These illusions typically consist of a single image that can be perceived in multiple ways. Ambiguous illusions can be used to study the neural mechanisms of perception and how the brain resolves ambiguity.

Some related illusions include the following:

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

Impossible Cube 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 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 Monroe-Einstein illusion works by playing with the viewer’s expectations about the relationships between the features of the faces and the viewer’s sense of facial proportions.

Monroe-Einstein

Discovery of the Schroeder Stairs Illusion

The illusion was named after the German psychologist Hermann Schröder, who first published it in his 1858 book “Untersuchungen zur Lehre vom Lichtsinn” (Investigations into the Theory of Light Sense).

Hermann Schröder was a German psychologist and physiologist who was born in 1838 and died in 1902.

He is best known for his work on visual perception, especially his study of optical illusions.

Schröder was one of the first scientists to systematically study optical illusions and the ways in which the brain interprets visual information. He published a book in 1858 called “Untersuchungen zur Lehre vom Lichtsinn” (Investigations into the Theory of Light Sense) which contains several optical illusions, including the Schröder Staircase, which is named after him.

Schröder also conducted research on other areas of psychology, such as the perception of color and the physiology of the eye.

He was a professor of physiology and neurology at the University of Kiel, and later at the University of Strasbourg.

Schröder was a pioneer in the field of visual perception and his work laid the foundation for the modern study of optical illusions and the brain’s interpretation of visual information.

His work was influential in the development of Gestalt psychology, which is a psychological theory that emphasizes the importance of the whole experience and the context in which it is perceived.

References and Resources

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My Husband and Father In Law

Husband-and-Father-In-Law

The “My husband and father-in-law” illusion is a variation of the “My wife and my mother-in-law” illusion, which is an optical illusion that is an image of a man’s face that can also be perceived as an older man’s face.

This illusion is also created by the way the brain organizes the visual information in the image, and how it interprets the relationships between the different features of the face.

Husband-and-Father-In-Law
The My Husband and Father In Law Illusion

Table of Contents


How does the My Husband and Father In Law Illusion work?

The illusion is based on a drawing that shows a young man’s face in profile view, but by slightly adjusting the position of the features, the same image can also be perceived as an older man’s face in profile view.

The brain organizes the visual information in a way that creates the most meaningful and coherent interpretation, which can vary depending on how the viewer looks at the image.

This illusion is similar to the “My wife and my mother-in-law” illusion.

It works by playing with the viewer’s expectations about the relationships between the different facial features, and highlights the brain’s ability to perceive depth and 3-dimensional structure in 2-dimensional images, and how it organizes the information in a way that creates the most meaningful and coherent interpretation.

Additionally, it is also related to the concept of “perceptual set” which refers to the brain’s ability to focus on specific aspects of the image and ignore others depending on the context, and “top-down processing” where the brain uses prior knowledge to interpret the visual information coming from the eyes.

Versions of the My Husband and Father In Law Illusion

The following are some alternate versions of the My Husband and Father In Law Illusion:

My_Wife_and_My_Mother-in-Law-1915


Wife and Mother In Law
The very similar My Wife and Mother In Law


Illusions like the My Husband and Father In Law Illusion

Ambiguous illusions are visual stimuli that can be interpreted in more than one way. These illusions typically consist of a single image that can be perceived in multiple ways. Ambiguous illusions can be used to study the neural mechanisms of perception and how the brain resolves ambiguity.

Some related illusions include the following:

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 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 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 Monroe-Einstein illusion works by playing with the viewer’s expectations about the relationships between the features of the faces and the viewer’s sense of facial proportions.

Monroe-Einstein

Discovery of the My Husband and Father In Law Illusion

The My Husband and My Father In Law illusion was created by neurology professor Dr. Jack Botwinick.

Dr. Jack Botwinick is a well-known neuropsychologist who has made significant contributions in the field of aging and cognitive psychology.

He is a professor of psychology at the City University of New York, and has also served as a faculty member at other institutions.

He has authored several books and numerous research papers on topics such as aging and memory, cognitive aging, and neuropsychology.

He is also known for his work in developing and testing theories of cognitive aging, and for his contributions to the understanding of the neural and cognitive mechanisms underlying memory and aging.

References and Resources

Check out our complete list of illusions.

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