Necker cube: Difference between revisions

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
imported>OAbot
m Open access bot: url-access=subscription updated in citation with #oabot.
imported>JJMC89 bot III
 
Line 15: Line 15:
The Necker cube is an [[ambiguous]] drawing.
The Necker cube is an [[ambiguous]] drawing.


[[Image:Necker cube and impossible cube.svg|frame|Necker cube on the left, impossible cube on the right]]
Each part of the picture is ambiguous by itself, yet the human visual system picks an interpretation of each part that makes the whole consistent. The Necker cube is sometimes used to test computer models of the human visual system to see whether they can arrive at consistent interpretations of the image the same way humans do.
Each part of the picture is ambiguous by itself, yet the human visual system picks an interpretation of each part that makes the whole consistent. The Necker cube is sometimes used to test computer models of the human visual system to see whether they can arrive at consistent interpretations of the image the same way humans do.


[[File:Necker cube and impossible cube.svg|thumb|Necker cube (left) and impossible cube (right)]]
Humans do not usually see an inconsistent interpretation of the cube.{{Citation needed|date=December 2021}} A cube whose edges cross in an inconsistent way is an example of an [[impossible object]], specifically an [[impossible cube]].
Humans do not usually see an inconsistent interpretation of the cube.{{Citation needed|date=December 2021}} A cube whose edges cross in an inconsistent way is an example of an [[impossible object]], specifically an [[impossible cube]].


Line 23: Line 23:


There is evidence that by focusing on different parts of the figure, one can force a more stable perception of the cube. The intersection of the two faces that are parallel to the observer forms a rectangle, and the lines that converge on the square form a "y-junction" at the two diagonally opposite sides. If an observer focuses on the upper "y-junction" the lower left face will appear to be in front. The upper right face will appear to be in front if the eyes focus on the lower junction.{{sfn|Einhäuser|Martin|König|2004}} Blinking while being on the second perception will probably cause you to switch to the first one.
There is evidence that by focusing on different parts of the figure, one can force a more stable perception of the cube. The intersection of the two faces that are parallel to the observer forms a rectangle, and the lines that converge on the square form a "y-junction" at the two diagonally opposite sides. If an observer focuses on the upper "y-junction" the lower left face will appear to be in front. The upper right face will appear to be in front if the eyes focus on the lower junction.{{sfn|Einhäuser|Martin|König|2004}} Blinking while being on the second perception will probably cause you to switch to the first one.
[[Image:2 necker cubes.svg|300px|thumb|This is an example of two identical Necker cubes, the one on the left showing an intermediate object (blue bar) going in "down from the top" while the one on the right shows the object going in "up from the bottom" which shows how the image can change its perspective simply by changing which face (front or back) appears behind the intervening object.]]
[[File:2 necker cubes.svg|thumb|Adding an intermediate blue bar object going "down from the top" (left) or "up from the bottom" (right) shows how the image can change its perspective simply by changing which face (front or back) appears behind the bar.]]


It is possible to cause the switch to occur by focusing on different parts of the cube. If one sees the first interpretation on the right it is possible to cause a switch to the second by focusing on the base of the cube until the switch occurs to the second interpretation. Similarly, if one is viewing the second interpretation, focusing on the left side of the cube may cause a switch to the first.
It is possible to cause the switch to occur by focusing on different parts of the cube. If one sees the first interpretation on the right it is possible to cause a switch to the second by focusing on the base of the cube until the switch occurs to the second interpretation. Similarly, if one is viewing the second interpretation, focusing on the left side of the cube may cause a switch to the first.
The orientation of the Necker cube can also be altered by shifting the observer's point of view.  When seen from apparent above, one face tends to be seen closer; and in contrast, when seen from a subjective viewpoint that is below, a different face comes to the fore.{{sfn|Martelli|Kubovy|Claessens|1998}}


The Necker cube has shed light on the human visual system.{{sfn|Ward|Scholl|2015}} The phenomenon has served as evidence of the [[human brain]] being a [[Biological neural network|neural network]] with two distinct equally possible interchangeable stable states.{{sfn|Marr|1982}} [[Sidney Bradford]], [[blindness|blind]] from the age of ten months but regaining his sight following an operation at age 52, did not perceive the ambiguity that normal-sighted observers do, but rather perceived only a flat image.{{sfn|Gregory|2004}}{{sfn|Troje|McAdam|2010}}
The Necker cube has shed light on the human visual system.{{sfn|Ward|Scholl|2015}} The phenomenon has served as evidence of the [[human brain]] being a [[Biological neural network|neural network]] with two distinct equally possible interchangeable stable states.{{sfn|Marr|1982}} [[Sidney Bradford]], [[blindness|blind]] from the age of ten months but regaining his sight following an operation at age 52, did not perceive the ambiguity that normal-sighted observers do, but rather perceived only a flat image.{{sfn|Gregory|2004}}{{sfn|Troje|McAdam|2010}}
Line 31: Line 33:
During the 1970s, undergraduates in the Psychology Department of City University, London, were provided with assignments to measure their Introversion-Extroversion orientations by the time it took for them to switch between the Front and Back perceptions of the Necker Cube.<ref>{{Cite journal |last1=Lindauer |first1=Martin S. |last2=Reukauf |first2=Lynn C. |date=1971 |title=Introversion-extraversion and figure-ground perception. |url=http://doi.apa.org/getdoi.cfm?doi=10.1037/h0031103 |journal=Journal of Personality and Social Psychology |language=en |volume=19 |issue=1 |pages=107–113 |doi=10.1037/h0031103 |pmid=5558334 |issn=1939-1315|url-access=subscription }}</ref>
During the 1970s, undergraduates in the Psychology Department of City University, London, were provided with assignments to measure their Introversion-Extroversion orientations by the time it took for them to switch between the Front and Back perceptions of the Necker Cube.<ref>{{Cite journal |last1=Lindauer |first1=Martin S. |last2=Reukauf |first2=Lynn C. |date=1971 |title=Introversion-extraversion and figure-ground perception. |url=http://doi.apa.org/getdoi.cfm?doi=10.1037/h0031103 |journal=Journal of Personality and Social Psychology |language=en |volume=19 |issue=1 |pages=107–113 |doi=10.1037/h0031103 |pmid=5558334 |issn=1939-1315|url-access=subscription }}</ref>


==Apparent viewpoint==
==References in academia and popular culture==
The orientation of the Necker cube can also be altered by shifting the observer's point of view.  When seen from apparent above, one face tends to be seen closer; and in contrast, when seen from a subjective viewpoint that is below, a different face comes to the fore.{{sfn|Martelli|Kubovy|Claessens|1998}}


==References in popular culture==
The Necker cube is discussed to such extent in [[Robert J. Sawyer]]'s 1998 [[science fiction]] novel ''Factoring Humanity'' that "Necker" becomes a verb, meaning to impel one's brain to switch from one perspective or perception to another.{{sfn|Sawyer|1998|pp=233, 256, 299, et al.}}
The Necker cube is discussed to such extent in [[Robert J. Sawyer]]'s 1998 [[science fiction]] novel ''Factoring Humanity'' that "Necker" becomes a verb, meaning to impel one's brain to switch from one perspective or perception to another.{{sfn|Sawyer|1998|pp=233, 256, 299, et al.}}


The Necker cube is used to illustrate how vampires in [[Peter Watts (author)|Peter Watts]]' science fiction novels ''[[Blindsight (Watts novel)|Blindsight]]'' (2006) and ''[[Echopraxia (novel)|Echopraxia]]'' (2014) have superior pattern recognition skills. One of the pieces of evidence is that vampires can see both interpretations of the Necker Cube simultaneously, which sets them apart from baseline humanity.{{sfn|Watts|2006|pp=42, 284}}
The Necker cube is also used to illustrate how vampires in [[Peter Watts (author)|Peter Watts]]' science fiction novels ''[[Blindsight (Watts novel)|Blindsight]]'' (2006) and ''[[Echopraxia (novel)|Echopraxia]]'' (2014) have superior pattern recognition skills. One of the pieces of evidence is that vampires can see both interpretations of the Necker Cube simultaneously, which sets them apart from baseline humanity.{{sfn|Watts|2006|pp=42, 284}}
 
Cultural critic Benjamin Kirbach uses the figure of the Necker cube as the basis for what he calls ''neckerology''. Kirbach draws on concepts ranging from [[object-oriented ontology]], [[speculative realism]], and [[New materialism|new materialism]] to show that even the average everyday objects we encounter only ever appear to us through partial aspects and profiles (what [[Phenomenology (philosophy)|phenomenologists]] call "adumbration"). Like a Necker cube, these aspects and profiles can only become perceptible through the occlusion of other aspects and profiles that remain hidden from view. Kirbach also reveals that Necker himself, whose full name is Louis Albert Necker ''de Saussure'', is the first-cousin once-removed of renowned [[Structural linguistics|linguist]] [[Ferdinand de Saussure]]. The latter Saussure's division of the linguistic sign into [[Signified and signifier|''signifier'']] versus [[Signified and signifier|''signified'']]—what he called a "two-sided psychological entity [''une entité psychique à deux faces'']"<ref>{{cite thesis |last= Kirbach |first= Benjamin |date= 2023 |title= Neckerology: Fiction, Technology, and Theory after Postmodernism |url= https://www.proquest.com/docview/2833514084 |degree= PhD |location= The University of Iowa |access-date= 10 September 2025 |page=5 |via= ProQuest |id= {{ProQuest|2833514084}} }}</ref>—is perhaps not unlike the perpetual push-and-pull of a Necker cube. "[B]y dividing it into signifier and signified," Kirbach writes, "we might say that Saussure himself 'neckerized' the sign".<ref>{{cite thesis |last= Kirbach |first= Benjamin |date= 2023 |title= Neckerology: Fiction, Technology, and Theory after Postmodernism |url= https://www.proquest.com/docview/2833514084 |degree= PhD |location= The University of Iowa |access-date= 10 September 2025 |page=5 |via= ProQuest |id= {{ProQuest|2833514084}} }}</ref>


==See also==
==See also==
* [[Ambigram]]
* [[Ambigram]]
* [[Binocular rivalry]]
* [[Binocular rivalry]]
* [[Crow T. Robot]]
* [[Multistable perception]]
* [[Multistable perception]]
* [[Pareidolia]]  
* [[Pareidolia]]  
Line 52: Line 53:
{{reflist}}
{{reflist}}
{{refbegin}}
{{refbegin}}
'''Citations'''
'''Sources'''
* {{cite journal |last1=Einhäuser |first1=W. |last2=Martin |first2=K.A.C. |last3=König |first3=P. |year=2004 |title=Are switches in perception of the Necker cube related to eye position? |journal=European Journal of Neuroscience |volume=20 |issue=10 |pages=2811–2818 |pmid=15548224 |doi=10.1111/j.1460-9568.2004.03722.x |citeseerx=10.1.1.71.6358 |s2cid=1831130 }}
* {{cite journal |last1=Einhäuser |first1=W. |last2=Martin |first2=K. A. C. |last3=König |first3=P. |year=2004 |title=Are switches in perception of the Necker cube related to eye position? |journal=European Journal of Neuroscience |volume=20 |issue=10 |pages=2811–2818 |pmid=15548224 |doi=10.1111/j.1460-9568.2004.03722.x |citeseerx=10.1.1.71.6358 |s2cid=1831130 }}
* {{cite journal |last1=Einhäuser |first1=Wolfgang |last2=Stout |first2=James |last3=Koch |first3=Christof |last4=Carter |first4=Olivia Louise |date=March 2008 |title=Pupil dilation reflects perceptual selection and predicts subsequent stability in perceptual rivalry |journal=[[PNAS]] |volume=105 |issue=5 |pages=1704–9 |doi=10.1073/pnas.0707727105|pmid=18250340 |pmc=2234208 |doi-access=free }}
* {{cite journal |last=Gregory |first=R. |date=August 2004 |title=The Blind Leading the Sighted: An Eye-Opening Experience of the Wonders of Perception |journal=Nature |volume=430 |issue=7002 |pages=836 |pmid=15318199 |doi=10.1038/430836a |url=http://www.richardgregory.org/papers/articles/seeing-after-blindness.pdf |doi-access=free }}
* {{cite journal |last=Gregory |first=R. |date=August 2004 |title=The Blind Leading the Sighted: An Eye-Opening Experience of the Wonders of Perception |journal=Nature |volume=430 |issue=7002 |pages=836 |pmid=15318199 |doi=10.1038/430836a |url=http://www.richardgregory.org/papers/articles/seeing-after-blindness.pdf |doi-access=free }}
* {{cite journal |last1=Khan |first1=Aarlenne |last2=Crawford |first2=J. Douglas |date=June 2001 |title=Ocular dominance reverses as a function of horizontal gaze angle |journal=Vision Research |volume=41 |issue=14 |pages=1743–8 |doi=10.1016/S0042-6989(01)00079-7 |pmid=11369037 |doi-access=free }}
* {{cite journal |last1=Khan |first1=Aarlenne |last2=Crawford |first2=J. Douglas |date=June 2001 |title=Ocular dominance reverses as a function of horizontal gaze angle |journal=Vision Research |volume=41 |issue=14 |pages=1743–8 |doi=10.1016/S0042-6989(01)00079-7 |pmid=11369037 |doi-access=free }}
* {{cite book |last=Marr |first=D. |year=1982 |title=Vision: A Computational Investigation into the Human Representation and Processing of Visual Information |publisher=W.H. Freeman. Reprint: The MIT Press |isbn=978-0-7167-1284-8 |url=https://archive.org/details/vision00davi }}
* {{cite book |last=Marr |first=D. |year=1982 |title=Vision: A Computational Investigation into the Human Representation and Processing of Visual Information |publisher=W.H. Freeman. Reprint: The MIT Press |isbn=0-7167-1284-9 |url=https://archive.org/details/vision00davi }}
* {{cite journal |last1=Martelli |first1=M.L. |last2=Kubovy |first2=M. |last3=Claessens |first3=P. |year=1998 |title=Instability of the Necker cube: influence of orientation and configuration |journal=Perception |volume=27 |issue=ECVP Abstract Supplement |at=90a }}
* {{cite journal |last1=Martelli |first1=M. L. |last2=Kubovy |first2=M. |last3=Claessens |first3=P. |year=1998 |title=Instability of the Necker cube: influence of orientation and configuration |journal=Perception |volume=27 |issue=ECVP Abstract Supplement |at=90a }}
* {{cite journal |last=Necker |first=L.A. |year=1832 |title=Observations on some remarkable optical phaenomena seen in Switzerland; and on an optical phaenomenon which occurs on viewing a figure of a crystal or geometrical solid |journal=London and Edinburgh Philosophical Magazine and Journal of Science |volume=1 |issue=5 |pages=329–337 |doi=10.1080/14786443208647909 |url=https://zenodo.org/record/1430991 }}
* {{cite journal |last=Necker |first=L. A. |year=1832 |title=Observations on some remarkable optical phaenomena seen in Switzerland; and on an optical phaenomenon which occurs on viewing a figure of a crystal or geometrical solid |journal=London and Edinburgh Philosophical Magazine and Journal of Science |volume=1 |issue=5 |pages=329–337 |doi=10.1080/14786443208647909 |url=https://zenodo.org/record/1430991 }}
* {{cite book |last=Sawyer |first=Robert J. |year=1998 |title=Factoring Humanity |location=New York |publisher=Tor |isbn=978-0-312-86458-3 }}
* {{cite book |last=Sawyer |first=Robert J. |year=1998 |title=Factoring Humanity |location=New York |publisher=Tor |isbn=0-312-86458-2 }}
* {{cite journal |last1=Troje |first1=Nikolaus F. |last2=McAdam |first2=Matthew |year=2010 |title=The viewing-from-above bias and the silhouette illusion |journal=i-Perception |issue=3 |pages=143–148 |doi=10.1068/i0408 |pmc=3485768 |pmid=23145219 |volume=1 }}
* {{cite journal |last1=Troje |first1=Nikolaus F. |last2=McAdam |first2=Matthew |year=2010 |title=The viewing-from-above bias and the silhouette illusion |journal=i-Perception |issue=3 |pages=143–148 |doi=10.1068/i0408 |pmc=3485768 |pmid=23145219 |volume=1 }}
* {{cite journal |last1=Ward |first1=Emily J. |last2=Scholl |first2=Brian J. |year=2015 |title=Stochastic or Systematic? Seemingly Random Perceptual Switching in Bistable Events Triggered by Transient Unconscious Cues |journal=Journal of Experimental Psychology: Human Perception and Performance |volume=41 |issue=4 |pages=929–939 |url=http://perception.research.yale.edu/papers/15-Ward-Scholl-JEPHPP.pdf#3190c40 |doi=10.1037/a0038709 |pmid=25915074 }}
* {{cite journal |last1=Ward |first1=Emily J. |last2=Scholl |first2=Brian J. |year=2015 |title=Stochastic or Systematic? Seemingly Random Perceptual Switching in Bistable Events Triggered by Transient Unconscious Cues |journal=Journal of Experimental Psychology: Human Perception and Performance |volume=41 |issue=4 |pages=929–939 |url=http://perception.research.yale.edu/papers/15-Ward-Scholl-JEPHPP.pdf#3190c40 |doi=10.1037/a0038709 |pmid=25915074 }}
* {{cite book |last=Watts |first=Peter |year=2006 |title=Blindsight |publisher=Tor |isbn=978-0-7653-1218-1 |url=https://archive.org/details/blindsight00watt }}
* {{cite book |last=Watts |first=Peter |year=2006 |title=Blindsight |location=New York |publisher=Tor |isbn=0-7653-1218-2 |url=https://archive.org/details/blindsight00watt }}
{{refend}}
{{refend}}
==Further reading==
* {{cite journal |last1=Einhäuser |first1=Wolfgang |last2=Stout |first2=James |last3=Koch |first3=Christof |last4=Carter |first4=Olivia Louise |date=March 2008 |title=Pupil dilation reflects perceptual selection and predicts subsequent stability in perceptual rivalry |journal=[[PNAS]] |volume=105 |issue=5 |pages=1704–9 |doi=10.1073/pnas.0707727105|pmid=18250340 |pmc=2234208 |doi-access=free }}


==External links==
==External links==
Line 71: Line 74:


{{Optical illusions}}
{{Optical illusions}}
[[Category:1832 introductions]]
[[Category:1832 introductions]]
[[Category:Optical illusions]]
[[Category:Optical illusions]]
[[Category:Impossible objects]]
[[Category:Impossible objects]]
[[Category:Cubes]]
[[Category:Cubes]]

Latest revision as of 22:48, 9 November 2025

Template:Short description Template:Multiple image The Necker cube is an optical illusion that was first published as a rhomboid in 1832 by Swiss crystallographer Louis Albert Necker.Template:Sfn It is a simple wire-frame, two dimensional drawing of a cube with no visual cues as to its orientation, so it can be interpreted to have either the lower-left or the upper-right square as its front side.

Ambiguity

Script error: No such module "Labelled list hatnote". The Necker cube is an ambiguous drawing.

Each part of the picture is ambiguous by itself, yet the human visual system picks an interpretation of each part that makes the whole consistent. The Necker cube is sometimes used to test computer models of the human visual system to see whether they can arrive at consistent interpretations of the image the same way humans do.

File:Necker cube and impossible cube.svg
Necker cube (left) and impossible cube (right)

Humans do not usually see an inconsistent interpretation of the cube.Script error: No such module "Unsubst". A cube whose edges cross in an inconsistent way is an example of an impossible object, specifically an impossible cube.

With the cube on the left, most people see the lower-left face as being in front most of the time. This is possibly because people view objects from above, with the top side visible, far more often than from below, with the bottom visible, so the brain "prefers" the interpretation that the cube is viewed from above.Template:SfnTemplate:SfnTemplate:Sfn

There is evidence that by focusing on different parts of the figure, one can force a more stable perception of the cube. The intersection of the two faces that are parallel to the observer forms a rectangle, and the lines that converge on the square form a "y-junction" at the two diagonally opposite sides. If an observer focuses on the upper "y-junction" the lower left face will appear to be in front. The upper right face will appear to be in front if the eyes focus on the lower junction.Template:Sfn Blinking while being on the second perception will probably cause you to switch to the first one.

File:2 necker cubes.svg
Adding an intermediate blue bar object going "down from the top" (left) or "up from the bottom" (right) shows how the image can change its perspective simply by changing which face (front or back) appears behind the bar.

It is possible to cause the switch to occur by focusing on different parts of the cube. If one sees the first interpretation on the right it is possible to cause a switch to the second by focusing on the base of the cube until the switch occurs to the second interpretation. Similarly, if one is viewing the second interpretation, focusing on the left side of the cube may cause a switch to the first.

The orientation of the Necker cube can also be altered by shifting the observer's point of view. When seen from apparent above, one face tends to be seen closer; and in contrast, when seen from a subjective viewpoint that is below, a different face comes to the fore.Template:Sfn

The Necker cube has shed light on the human visual system.Template:Sfn The phenomenon has served as evidence of the human brain being a neural network with two distinct equally possible interchangeable stable states.Template:Sfn Sidney Bradford, blind from the age of ten months but regaining his sight following an operation at age 52, did not perceive the ambiguity that normal-sighted observers do, but rather perceived only a flat image.Template:SfnTemplate:Sfn

During the 1970s, undergraduates in the Psychology Department of City University, London, were provided with assignments to measure their Introversion-Extroversion orientations by the time it took for them to switch between the Front and Back perceptions of the Necker Cube.[1]

References in academia and popular culture

The Necker cube is discussed to such extent in Robert J. Sawyer's 1998 science fiction novel Factoring Humanity that "Necker" becomes a verb, meaning to impel one's brain to switch from one perspective or perception to another.Template:Sfn

The Necker cube is also used to illustrate how vampires in Peter Watts' science fiction novels Blindsight (2006) and Echopraxia (2014) have superior pattern recognition skills. One of the pieces of evidence is that vampires can see both interpretations of the Necker Cube simultaneously, which sets them apart from baseline humanity.Template:Sfn

Cultural critic Benjamin Kirbach uses the figure of the Necker cube as the basis for what he calls neckerology. Kirbach draws on concepts ranging from object-oriented ontology, speculative realism, and new materialism to show that even the average everyday objects we encounter only ever appear to us through partial aspects and profiles (what phenomenologists call "adumbration"). Like a Necker cube, these aspects and profiles can only become perceptible through the occlusion of other aspects and profiles that remain hidden from view. Kirbach also reveals that Necker himself, whose full name is Louis Albert Necker de Saussure, is the first-cousin once-removed of renowned linguist Ferdinand de Saussure. The latter Saussure's division of the linguistic sign into signifier versus signified—what he called a "two-sided psychological entity [une entité psychique à deux faces]"[2]—is perhaps not unlike the perpetual push-and-pull of a Necker cube. "[B]y dividing it into signifier and signified," Kirbach writes, "we might say that Saussure himself 'neckerized' the sign".[3]

See also

References

Template:Reflist Template:Refbegin Sources

  • Script error: No such module "Citation/CS1".
  • Script error: No such module "Citation/CS1".
  • Script error: No such module "Citation/CS1".
  • Script error: No such module "citation/CS1".
  • Script error: No such module "Citation/CS1".
  • Script error: No such module "Citation/CS1".
  • Script error: No such module "citation/CS1".
  • Script error: No such module "Citation/CS1".
  • Script error: No such module "Citation/CS1".
  • Script error: No such module "citation/CS1".

Template:Refend

Further reading

  • Script error: No such module "Citation/CS1".

External links

Template:Sister project

Template:Optical illusions

  1. Script error: No such module "Citation/CS1".
  2. Template:Cite thesis
  3. Template:Cite thesis