1. The _position_ of a figure influences its view. According to the
position in which objects are viewed different muscle-sensations come
into play and the impression is altered. To recognise inverted letters
as such long experience is required. The best proof of this are the
letters d, b, p, q, which are represented by the same figure in
different positions and yet are always distinguished as different.[149]
2. It will not escape the attentive observer that for the same reasons
and even with the same figure and in the same position the fixation
point is also decisive. The figure seems to change _during_ the act of
vision. For example, an eight-pointed star constructed by successively
joining in a regular octagon the first corner with the fourth, the
fourth with the seventh, etc., skipping in every case two corners,
assumes alternately, according to where we suffer the centre of vision
to rest, a predominantly architectonic or a freer and more open
character. Vertical and horizontal lines are always differently
apprehended from what oblique lines are.
[Illustration: Fig. 58.]
3. The reason why we prefer vertical symmetry and regard it as something
special in its kind, whereas we do not recognise horizontal symmetry at
all immediately, is due to the vertical symmetry of the muscular
apparatus of the eye. The left-hand side _a_ of the accompanying
vertically-symmetrical figure induces in the left eye the same muscular
feelings as the right-hand side _b_ does in the right eye. The pleasing
effect of symmetry has its cause primarily in the repetition of muscular
feelings. That a repetition actually occurs here, sometimes sufficiently
marked in character as to lead to the confounding of objects, is proved
apart from the theory by the fact which is familiar to every one _quem
dii oderunt_ that children frequently reverse figures from the right to
the left, but never from above downwards; for example, write [epsilon]
instead of 3 until they finally come to notice the slight difference.
Figure 50 shows how pleasing the repetition of muscular feelings may be.
As will be readily understood, vertical and horizontal lines exhibit
relations similar to symmetrical figures which are immediately disturbed
when oblique positions are chosen for the lines. Compare what Helmholtz
says regarding the repetition and coincidence of partial tones.
[Illustration: Fig. 59.]
I may be permitted to add a general remark. It is a quite universal
phenomenon in psychology that certain qualitatively quite different
series of percepts mutually awaken and reproduce one another and in a
certain aspect produce the appearance of sameness or similarity. We say
of such series that they are of like or of similar form, naming their
abstracted likeness _form_.
1. Of spatial figures we have already spoken.
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