Cover Image: August 2006 Scientific American Magazine See Inside

The Quirks of Constancy [Preview]

Even when we consciously know two lines are the same length, why can't we help seeing them as different?














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Illusions are anomalies that can reveal clues about the mysterious workings of the brain to neuroscientists in much the same way as the fictional Sherlock Holmes can solve a crime puzzle by homing in on a single out-of-the-ordinary fact. Think of the phrase "the dog that did not bark" (in Sir Arthur Conan Doyle's short story "Silver Blaze") or of the missing dumbbell (in Conan Doyle's Valley of Fear).

Perhaps the most famous examples of such visual tricks are the geometric optical illusions. In the Ponzo illusion, first demonstrated by Italian psychologist Mario Ponzo in 1913, one horizontal line looks shorter than the other one, although they are identical. In the Mueller-Lyer illusion, created by German psychiatrist Franz Mueller-Lyer in 1889, the line bounded by the diverging arrowheads looks shorter than the one with converging arrowheads--although they, too, are identical.


This article was originally published with the title The Quirks of Constancy.



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  1. 1. nikolaou 01:32 PM 6/3/08

    Dear authors: Your knowledge of the subject is only surpassed by your sense of humor, particularly your uncanny ability for puns! In addition to having enjoyed all of your articles in Scientific American, I have also been deeply impacted by understanding the marvels of nature that you so eloquently describe in your text. Many thanks!

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