Visual Illusions: Their Causes, Characteristics and Applications — John Shaqi
Visual Illusions: Their Causes, Characteristics and ApplicationsLuckiesh, Matthew
Science
Visual Illusions: Their Causes, Characteristics and Applications
Luckiesh, Matthew
Optical illusions
Although it is not safe to present simple statements in a field so complex
as that of visual illusion where explanations are still controversial, it
is perhaps possible to generalize as Jastrow did in the foregoing case as
follows: If the direction of an angle is that of the line bisecting it and
pointing toward the apex, the direction of the sides of an angle will
apparently be deviated toward the direction of the angle. The deviation
apparently is greater with obtuse than with acute angles, and when obtuse
and acute angles are so placed in a figure as to give rise to opposite
deviations, the greater angle will be the dominant influence.
Although the illusion in such simple cases as Fig. 41 is slight, it is
quite noticeable. The effect of the addition of many of these slight
individual influences is obvious in accompanying figures of greater
complexity. These individual effects can be so multiplied and combined
that many illusory figures may be devised.
In Fig. 42 the oblique lines are added to both horizontal lines in such a
manner that _A_ is tilted downward at the angle and _B_ is tilted upward
at the angle (the letters corresponding to similar lines in Fig. 41). In
this manner they appear to be deviated considerably out of their true
straight line. If the reader will draw a straight line nearly parallel to
_D_ in Fig. 41 and to the right, he will find it helpful. This line
should be drawn to appear to be a continuation of _C_ when the page is
held so _D_ is approximately horizontal. This is a simple and effective
means of testing the magnitude of the illusion, for it is measured by the
degree of apparent deviation between _D_ and the line drawn adjacent to
it, which the eye will tolerate. Another method of obtaining such a
measurement is to begin with only the angle and to draw the apparent
continuation of one of its lines with a space intervening. This deviation
from the true continuation may then be readily determined.
[Illustration: Fig. 42. The effect of two angles in tilting the horizontal
lines.]
[Illustration: Fig. 43. The effect of crossed lines upon their respective
apparent directions.]
A more complex case is found in Fig. 43 where the effect of an obtuse
angle _ACD_ is to make the continuation of _AB_ apparently fall below
_FG_ and the effect of the acute angle is the reverse. However, the net
result is that due to the preponderance of the effect of the larger angle
over that of the smaller. The line _EC_ adds nothing, for it merely
introduces two angles which reinforce those above _AB_. The line _BC_ may
be omitted or covered without appreciably affecting the illusion.
[Illustration: Fig. 44.--Another step toward the Zöllner illusion.]
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