The Seven Follies of Science [2nd ed.]: A popular account of the most famous scientific impossibilities and the attempts which have been made to solve them. To which is added a small budget of interesting paradoxes, illusions, and marvelsPhin, John
History
The Seven Follies of Science [2nd ed.]: A popular account of the most famous scientific impossibilities and the attempts which have been made to solve them. To which is added a small budget of interesting paradoxes, illusions, and marvels
Phin, John
Geometry -- Famous problems; Scientific recreations
Take a large pea or a small marble or bullet and place it on the table
or in the palm of the left hand. Then cross the fingers of the right
hand as shown in the engraving, Fig. 22, the second finger crossing the
first, and place them on the ball, so that the latter may lie between
the fingers, as figured in the cut. If the pea or ball be now rolled
about, the sensation is apparently that given by two peas under the
fingers, and this illusion is so strong that it cannot be dispelled by
calling in any of the other senses (the sense of sight for example) as
is usually the case under similar circumstances. We may try and try, but
it will only be after considerable experience that we shall learn to
disregard the apparent impression that there are two balls.
The cause of this illusion is readily found. In the ordinary position of
the fingers the same ball cannot touch at the same time the exterior
sides of two adjoining fingers. When the two fingers are crossed, the
conditions are exceptionally changed, but the instinctive interpretation
remains the same, unless a frequent repetition of the experiment has
overcome the effect of our first education on this point. The
experiment, in fact has to be repeated a great number of times to make
the illusion become less and less appreciable.
But of all the senses, that of sight is the most liable to error and
illusion, as the following simple illustrations will show.
[Illustration: Fig. 23.]
[Illustration: Fig. 24.]
In Fig. 23 a black spot has been placed on a white ground, and in Fig.
24 a white spot is placed on a black ground; which is the larger, the
black spot or the white one? To every eye the white spot will appear to
be the largest, but as a matter of fact they are both the same size.
This curious effect is attributed by Helmholtz to what is called
irradiation. The eye may also be greatly deceived even in regard to the
length of lines placed side by side. Thus, in Fig. 25 a thin vertical
line stands upon a thick horizontal one; although the two lines are of
precisely the same length, the vertical one seems to be considerably
longer than the other.
[Illustration: Fig. 25.]
In Figs. 26 and 27 a series of vertical and horizontal lines are shown,
and in both forms the space that is covered seems to be longer one way
than the other. As a matter of fact the space in each case is a perfect
square, and the apparent difference in width and height depends upon
whether the lines are vertical or horizontal.
[Illustration: Fig. 26.]
[Illustration: Fig. 27.]
Advantage is taken of this curious illusion in decorating rooms and in
selecting dresses. Stout ladies of taste avoid dress goods having
horizontal stripes, and ladies of the opposite conformation avoid those
in which the stripes are vertical.
Public-domain text, read in full here on John Shaqi.
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