Cover Image: July 2012 Scientific American Magazine See Inside

Size Illusions Trick the Brain

Does size matter? To your brain, it doesn't














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Blown Away

Objects project smaller images on our retinas as they move away from us, which can make it hard to decide if an item is truly small or just far away (as we see in this photograph). Forced perspective photography uses this ambiguity to great effect, while eliminating many of the habitual strategies that our brain uses to distinguish size from distance, such as stereopsis (our visual system can calculate the depth in a scene from the slight differences between our left and right retinal images) and motion parallax (as we move, objects closer to us move farther across our field of view than distant objects do).

Tall and Venti

Is your cuppa joe half empty or half full? It depends on your outlook—and on a little twist on the Jastrow illusion, named after Polish-born American psychologist Joseph Jastrow. In this classic illusion, two identical arches positioned in a certain configuration appear to have very different lengths. Magician Greg Wilson and writer and producer David Gripenwaldt realized that Starbucks coffee sleeves have the perfect shape for an impromptu demonstration of the Jastrow illusion, so now you can amaze your office mates at your next coffee break. All you need to do is align the coffee sleeves as in the accompanying photograph and—presto!—your tall cup sleeve is now venti-sized! Your brain compares the upper arch's lower right corner with the lower arch's upper right corner and concludes, incorrectly, that the upper sleeve is shorter than the lower sleeve. We would like to thank magician Victoria Skye for her demonstration of the Jastrow illusion with Starbucks coffee sleeves.


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ABOUT THE AUTHOR(S)

SUSANA MARTINEZ-CONDE and STEPHEN L. MACKNIK are laboratory directors at the Barrow Neurological Institute in Phoenix. They serve on Scientific American Mind's board of advisers and are authors of Sleights of Mind: What the Neuroscience of Magic Reveals about Our Everyday Deceptions, with Sandra Blakeslee, now in paperback (http://sleightsofmind.com). Their forthcoming book, Champions of Illusion, will be published by Scientific American/Farrar, Straus and Giroux.
SUSANA MARTINEZ-CONDE and STEPHEN L. MACKNIK are laboratory directors at the Barrow Neurological Institute in Phoenix. They serve on Scientific American Mind's board of advisers and are authors of Sleights of Mind: What the Neuroscience of Magic Reveals about Our Everyday Deceptions, with Sandra Blakeslee, now in paperback (http://sleightsofmind.com). Their forthcoming book, Champions of Illusion, will be published by Scientific American/Farrar, Straus and Giroux.


(Further Reading)

Sleights of Mind: What the Neuroscience of Magic Reveals about Our Everyday Deceptions. S. L. Macknik and S. Martinez-Conde, with S. Blakeslee. Henry Holt, 2010.

Applying the Helmholtz Illusion to Fashion: Horizontal Stripes Won't Make You Look Fatter. P. Thompson and K. Mikellidou in i-Perception, Vol. 2, No. 1, pages 6976; 2011.

It Was as Big as My Head, I Swear!: Biased Spider Size Estimation in Spider Phobia. M. W. Vasey, M. R. Vilensky, J. H. Heath, C. N. Harbaugh, A. G. Buffington and R. H. Fazio in Journal of Anxiety Disorders, Vol. 26, No. 1, pages 2024; January 2012.

Weapons Make the Man (Larger): Formidability Is Represented as Size and Strength in Humans. D.M.T. Fessler, C. Holbrook and J. K. Snyder in PLoS ONE, Vol. 7, No. 4, Article e32751; 2012.


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  1. 1. maxw3st 09:57 AM 7/21/12

    This article on size illusions would work much better if you included the photos the article refers too.

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  2. 2. promytius 11:17 AM 7/21/12

    This piece of fluff is all over the place; verbal salad, with NO pictures - hello? You make no sense of the timelines for research and explorations in this area, no attention to the evolution of understanding of illusions, and a chaotic approach to sequencing. You have given the illusion of a logical article.

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  3. 3. Richieo 12:15 PM 7/21/12

    The full moon rising on the horizon appears to be massive. Hours later, when the moon is high overhead, it looks much smaller. Yet the disk that falls on your retina is not smaller for the overhead moon than it is for the rising moon. So why does the overhead moon seem smaller?

    The sun does it too, I was taught it the atmosphere acting as a lens, which is somewhat thicker viewed at an oblique angle, ie. dawn and dusk...

    I always see larger disks at these times, even without a cluttered foreground....

    So I totally disagree with the above statement in this article...

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  4. 4. Richieo 12:20 PM 7/21/12

    The full moon rising on the horizon appears to be massive. Hours later, when the moon is high overhead, it looks much smaller. Yet the disk that falls on your retina is not smaller for the overhead moon than it is for the rising moon. So why does the overhead moon seem smaller?

    The sun does it too, I was taught it is the atmosphere acting as a lens, which is somewhat thicker viewed at an oblique angle, ie. dawn and dusk...

    I always see larger disks at these times, even without a cluttered foreground, ie. sun/moon rise/set over the sea...

    So I totally disagree with the above statement in this article...

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  5. 5. Rev.Corvette 02:36 PM 7/21/12

    Cheap shot Scientific American....(the pictures?)

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  6. 6. rwormus 05:19 PM 7/21/12

    Excerpts from my published paper, might make 'tricking the mind' seem superfluous!!!

    The evolutionary process has created an aggressive territorial human animal with a highly evolved brain, capable of 'fabricating' its own intuitive-based reality; and incapable of counter-intuitive arguments.Analogous to the maternal instinct, the human mind, then, protects it’s ‘illusion’ of reality by deploying an armory, the Human Psyche's insurmountably powerful defense mechanisms; first, and most formidable, denial and then, as necessary, rationalization, repression, regression, and dissociation, affectively closing off Man’s mind to the external input of alternate counter-intuitive realities, concepts, or change. Recent research in neuroscience has irrefutably proven that the mind actually augments crude two-dimensional, blurred afferent images, sounds, smells, and context clues into the sharp, clear, crisp ‘illusion’ of the intuitive external reality mankind takes for granted. Like an artist, it does this by cleverly adding form, dimensionality, animation, colorization, and shadowing; virtually fabricating an experientially-based version of an external reality.
    This synthesized illusion of reality (a hologram in effect) has been well documented in the scientific community. The universality, or ‘conserved parity’, between humans of like realities, is far less understood; but, ironically, plays well into the current research in Quantum Physics.

    This incapacity to accept the counter intuitive, actually explains the inexplicable; mankind’s blatant disregard for his environment, his gluttonous misuse of natural resources, his failure to properly identify universal survival threats, and his apparent apathy towards the future.

    It further explains the budget cuts affecting our nation’s science programs, the alarming decline in math and science scores, our exit from the active space program, the transplant of Fermi lab, the cancelation of the Web telescope and fusion research.
    Mankind’s fate, in light of our Central Nervous System’s ruse, barring intervention from the scientific community, may be the eminent and unelectable human ‘Extinction Event’.
    Robert C. Wormus, Physicist, Audiologist, and Speech Pathologist



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  7. 7. jfh_dragonfly@yahoo.com 09:00 PM 7/21/12

    Thanks for the detailed description of invisible photos.

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  8. 8. Peter65 01:52 AM 7/22/12

    I can see the photos, though they are rather small.

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  9. 9. TobyNSaunders 11:38 AM 7/22/12

    "Your brain literally enlarges the moon to fit the context." Haha, no Stephen & Susana, it does not literally enlarge the moon. It's the mental image of the moon in question.

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  10. 10. almoore in reply to maxw3st 08:24 AM 7/24/12

    I concur, actual pictures would have made this article. What is the meme? Pictures or it didn't happen.

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  11. 11. almoore in reply to TobyNSaunders 08:30 AM 7/24/12

    My brain has super powers, it can literally change the size of celestial objects.

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  12. 12. PolishMartian 12:26 AM 7/27/12

    I agree with many of you regarding the missing photos. Was that a trick by SciAm to force non-subscribers to buy this online issue or just a horrible writing or editing job? I'm guessing the latter, especially since the ABOUT THE AUTHOR(S) section was repeated. One plug for the authors is enough; we don't need two.

    Not only were those errors made, but several of you had to correct a couple incorrect "facts" stated by the authors. And these authors are laboratory directors at a neurological institute and serve as Scientific American Mind's board of "advisers" (or "advisors" in the preferred American English, not traditional British English spelling)? Unless the whole article or blog was meant as an illusion, parody or satire – which I don't believe it was, because much of its information was absolutely correct – it was poorly written or illustrated and edited by people who should know better (unless SciAm Online has intern editors running the show during summer vacations).

    Regarding one significant optical (brain) illusion error mentioned by the authors, which was caught by and commented on by at least one other reader, anybody with an elementary knowledge of physics knows that the moon and sun look larger on the rising and setting horizons due to moonlight and sunlight passing through more layers of Earth's atmosphere then, which causes wider light refraction and different colors due to longer wavelengths of light reaching our eyes. Trees and buildings may cause additional optical-brain object comparison illusions, but that's slight compared to the refraction and wavelength until those celestial bodies are far enough above the horizon. Neurologists should know that, and if they do, they shouldn't leave it out of their description of the phenomenon.

    Is it my imagination or just an illusion, but I've noticed a lot more British and less American English spelling in SciAm Online articles and blogs in recent months? Also, many SciAm employee authors or editors whom I remember seeing frequently before are gone in the newsletters I receive; a few former employees just contribute blogs now. I know there were a few announced personnel changes before, but it seems that many more have occurred, voluntarily or involuntarily, with many new people replacing the previous ones. Did I miss a merger, move or something? This seems to be a sign of significant culture change, some of which I wish hadn't occurred. Has Scientific American become Scientific British or Canadian (or elsewhere else not from the U.S.)? I'm just wondering.

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  13. 13. PolishMartian 12:45 AM 7/27/12

    @Peter65 #8: I can see five total images, of which four are definitely related to the "Small Change" and the fifth (second one down on the right) appears to be included in the group of images credited to Theo and Lars, creators of the giant wooden 50-cent euro coin. However, I couldn't identify parts of the fifth one even with zoom set at 400%.

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  14. 14. PolishMartian in reply to almoore 02:43 AM 7/27/12

    @TobyNSaunders #9: You definitely caught the authors, Susana & Stephen, misstating how the brain enlarges the moon; however, @almoore #11 gave a nice sarcastic, teasing, facetious reply to you.

    Actually, guys, you don't have to be dealing with size illusions to do what almoore said. Not only can your super-powered brain (mind, consciousness or thought, dreams and imagination) change the size of celestial (or terrestrial) objects, but you can create new celestial or terrestrial objects, quantum particles, matter, energy, forces, physical laws, dimensions, universes and travel to all those places instantaneously – faster than Scotty's transporter in Star Trek and way faster than the speed of light (no Einstein relativistic speed limit). And to your imagination – and especially your vivid dreams – it's all LITERAL.

    Let's let the neurologists explain THAT one! I'm not sure they or the AI researchers have gotten all the way there yet.

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  15. 15. PolishMartian in reply to PolishMartian 03:49 AM 7/27/12

    Oh, while talking about changing sizes of things and creating new ones, I forgot to add one critical thing: namely, that your super-powered brain (imagination, etc.) can destroy any or all of them...slowly or instantaneously.

    I do hope and wish that nobody ever does the latter in a vivid dream for obvious physical and mental health reasons, but I wouldn't bet against someone (or many people) already imagining it. However, a straw poll of living organisms and rocks in all multiverses (i.e., the entire cosmos) has requested that nobody with a stupid-powered brain actually try to make that dream come true.

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  16. 16. rwormus 03:09 PM 9/2/12

    The Nefarious Irishman on Human Perception
    By Robert Castleton Wormus

    On the subject of opening our eyes: When we open our eyes, what do we really see? Wildly oversimplified, there are two answers to this question. What our minds have 'learned ' to perceive; and the physics of the Electromagnetic Spectrum. Not surprisingly, both will astound you! First I’ll touch on physics, followed by a synopsis of Human Visual Perception.
    The Electromagnetic Spectrum is made up of light radiation ranging from Radio waves, microwaves, Infra-red waves, visible waves, Ultra-violet waves, X-rays waves, Gamma ray waves, and possibly higher energy radiation we have yet to discover. The Electromagnetic Spectrum is what is really there. What we ‘see’, or ‘perceive to see’ is a minuscule portion of what is actually reality; greater than 99.9% of the spectrum is invisible to our retinas, and therefore never reaches our visual cortex!. To put it another way, if we scale the entire electromagnetic spectrum to a 2,500 hundred mile movie reel (approximately the distance from the California-Mexico border to the Southern border of Alaska) we see one inch of the converted 64,500,000 inches in that length. We see 1/64,500,000th of what is there! I wonder what we're missing.
    Robert Wormus 310 9535939 imnubgentl@aol.com

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  17. 17. rwormus 03:13 PM 9/2/12

    Part Two: Psycho physiology of Vision

    by Robert Castleton Wormus

    The physiological ramifications of this miniscule amount of perceived radiation, is further watered down by the fact that what we see is in two dimensions, and that a large amount of human perception is ‘filled in’ by the neural synapses of some 32 separate areas of the brain, and is based on past experience, not reality.

    The human brain weights approximately 10 pounds, 30% of its mass makes up the Cortex. With our 100 billion neurons and their electrochemical synapses we ‘piece together’ what we ‘think we see’ from past experiences. Human vision including motion, 3D, color, identification, etc are all based on previous experience and intuition.
    Without going any further into the intricate mind games we play with our vision; let me offer as evidence a recent Neuroscience experiment recently aired on Nova, the History Channel, and National Geographic Channel.
    A basketball placed on the floor of a basketball court in front of any number of observers (all with the same vantage point) will be ‘seen’ as a basketball ball sitting on the floor. Dah! But, if we now project a prerecorded shadow of a basketball (not the basketball, just the shadow of a basketball) undergoing many different maneuvers (i.e. rolling, bouncing, and even going through the hoop) close to the sitting ball, every observer will see the sitting ball disappear, and instead ‘perceive’ the ball rolling, bouncing, and arcing in the air! No matter how hard we try, we will not ‘see’ the sitting basketball. The attention center of the visual cortex is not as strong as the intuition centers based on a moving shadow.

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