Abstract

Of two circles of the same diameter arranged side by side, if one is surrounded by a larger circle and a smaller circle is placed inside the other, they appear to be different in size. This is called the Delboeuf illusion. That is, the outer circle looks smaller, and the inner one looks larger. Using concentric circles and comparison ones, Morinaga (1935) and Ogasawara (1952) measured the Delboeuf illusion by the method of limits and showed that the inner circle was overestimated, and the outer one was underestimated. Furthermore, they found that the Delboeuf illusion is at its maximum when the ratio of the inner circle diameter to that of the outer circle is 2:3. Hamada (2002) confirmed this phenomenon by the constant method. In this way, size assimilation occurs when comparing concentric and comparison circles.

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