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Müller-Lyer illusion : ウィキペディア英語版
Müller-Lyer illusion

The Müller-Lyer illusion is an optical illusion consisting of a stylized arrow. When viewers are asked to place a mark on the figure at the midpoint, they invariably place it more towards the "tail" end. It was devised by Franz Carl Müller-Lyer (1857–1916), a German sociologist, in 1889.〔Müller-Lyer, FC (1889), "Optische Urteilstäuschungen"; ''Archiv für Physiologie Suppl.'' 263–270.〕〔Brentano, F (1892), "Über ein optisches Paradoxen", ''Zeitschrift für Psychologie'', 3:349–358.〕〔Müller-Lyer, FC (1894), "Über Kontrast und Konfluxion", ''Zeitschrift für Psychologie'', IX p 1 / X p 421.〕
A variation of the same illusion (and the most common form in which it is seen today, see figure) consists of a set of arrow-like figures. Straight line segments of equal length comprise the "shafts" of the arrows, while shorter line segments (called the fins) protrude from the ends of the shaft. The fins can point inwards to form an arrow "head" or outwards to form an arrow "tail". The line segment forming the shaft of the arrow with two tails is perceived to be longer than that forming the shaft of the arrow with two heads.
==Variation in perception ==

It has been shown that perception of the Müller-Lyer illusion varies across cultures and age groups.
Segall, Campbell and Herskovitz〔Cultural Differences in the Perception of Geometric Illusions Author(s): Marshall H. Segall, Donald T. Campbell, Melville J. Herskovits Source: Science, New Series, Vol. 139, No. 3556 (February 22, 1963), pp. 769-771〕 compared susceptibility to four different visual illusions in three population samples of Caucasians, twelve of Africans, and one from the Philippines. For the Müller-Lyer illusion, the mean fractional misperception of the length of the line segments varied from 1.4% to 20.3%. The three European-derived samples were the three most susceptible samples, while the San foragers of the Kalahari desert were the least susceptible.

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