Appletons' Popular Science Monthly, January 1899: Volume LIV, No. 3, January 1899 — John Shaqi
Appletons' Popular Science Monthly, January 1899: Volume LIV, No. 3, January 1899Various
Science
Appletons' Popular Science Monthly, January 1899: Volume LIV, No. 3, January 1899
Various
Science -- Periodicals; Technology -- Periodicals
FIGS. 17, 17_a_, and 17_b_.--How many blocks are there in this pile?
Six or seven? Note the change in arrangement of the blocks as they
change in number from six to seven. This change is illustrated in the
text. Figs. 17_a_ and 17_b_ show the two phases of a group of any
three of the blocks. The arrangement of a pyramid of six blocks seems
the more stable and is usually first suggested; but hold the page
inverted, and you will probably see the alternate arrangement (with,
however, the black surfaces still forming the tops). And once knowing
what to look for, you will very likely be able to see either
arrangement, whether the diagram be held inverted or not. This method
of viewing the figures upside down and in other positions is also
suggested to bring out the changes indicated in Figs. 13, 13_a_,
13_b_, and in Figs. 15, 15_a_, 15_b_.]
The blocks in Fig. 16 are subject to a marked fluctuation. Now the
black surfaces represent the bottoms of the blocks, all pointing
downward and to the left, and now the black surfaces have changed and
have become the tops pointing upward and to the right. For some the
changes come at will; for others they seem to come unexpectedly, but
all are aided by anticipating mentally the nature of the
transformation. The effect here is quite striking, the blocks seeming
almost animated and moving through space. In Fig. 17 a similar
arrangement serves to create an illusion as to the real number of
blocks present. If viewed in one way--the black surface forming the
tops of the blocks--there seem to be six arranged as in Fig. 18; but
when the transformation has taken place and the black surfaces have
become the overhanging bottoms of the boxes, there are seven, arranged
as in Fig. 19. Somewhat different, but still belonging to the group of
ambiguous figures, is the ingenious conceit of the duck-rabbit shown
in Fig. 20. When it is a rabbit, the face looks to the right and a
pair of ears are conspicuous behind; when it is a duck, the face looks
to the left and the ears have been changed into the bill. Most
observers find it difficult to hold either interpretation steadily,
the fluctuations being frequent, and coming as a surprise.
[Illustration: FIG. 18.]
[Illustration: FIG. 19.]
[Illustration: FIG. 20.--Do you see a duck or a rabbit, or either?
(From Harper's Weekly, originally in Fliegende Blätter.)]
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