Visual Illusions: Their Causes, Characteristics and ApplicationsLuckiesh, Matthew
Science
Visual Illusions: Their Causes, Characteristics and Applications
Luckiesh, Matthew
Optical illusions
This Zöllner illusion is very striking and may be constructed in a variety
of forms. In Fig. 37 the effect is quite apparent and it is interesting to
view the figure at various angles. For example, hold the figure so that
the broad parallel lines are vertical. The illusion is very pronounced in
this position; however, on tilting the page backward the illusion finally
disappears. In Fig. 38 the short oblique lines do not cross the long
parallel lines and to make the illusion more striking, the obliquity of
the short lines is reversed at the middle of the long parallel lines.
Variations of this figure are presented in Figs. 39 and 40. In this case
by steady fixation the perspective effect is increased but there is a
tendency for the parallel lines to appear more nearly truly parallel than
when the point of sight is permitted to roam over the figures.
[Illustration: Fig. 38.--Parallel lines which do not appear so.]
[Illustration: Fig. 39.--Wundt's illusion of direction.]
[Illustration: Fig. 40.--Hering's illusion of direction.]
Many investigations of the Zöllner illusion are recorded in the
literature. From these it is obvious that the result is due to the
additive effects of many simple illusions of angle. In order to give an
idea of the manner in which such an illusion may be built up the reasoning
of Jastrow[1] will be presented in condensed form. When two straight lines
such as _A_ and _B_ in Fig. 41 are separated by a space it is usually
possible to connect the two mentally and to determine whether or not, if
connected, they would lie on a straight line. However, if another line is
connected to one, thus forming an angle as _C_ does with _A_, the lines
which appeared to be continuous (as _A_ and _B_ originally) no longer
appear so. The converse is also true, for lines which are not in the same
straight line may be made to appear to be by the addition of another line
forming a proper angle. All these variations cannot be shown in a single
figure, but the reader will find it interesting to draw them. Furthermore,
the letters used on the diagram in order to make the description clearer
may be confusing and these can be eliminated by redrawing the figure. In
Fig. 41 the obtuse angle _AC_ tends to tilt _A_ downward, so apparently if
_A_ were prolonged it would fall below _B_. Similarly, _C_ appears to fall
to the right of _D_.
[Illustration: Fig. 41.--Simple effect of angles.]
This illusion apparently is due to the presence of the angle and the
effect is produced by the presence of right and acute angles to a less
degree. The illusion decreases or increases in general as the angle
decreases or increases respectively.
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