(ii) Divisions using concrete shapes

It is not difficult to imagine how difficult it is to divide using concrete and similar shapes which have complex outlines.

In contrast to other two examples easier to understand (Figs. 219, 221), the work of Escher below (Fig. 220) makes a delicate difference between the shapes in the same kind. Specifically, assemblies of two kinds of fishes drawn using a little thick gray or a little light gray are made. But when we see them carefully, we find that the shapes of the fishes are different; one has a head which is a little bending to the left (fishes with a light gray color), and another has a head which is a little bending to the right (fishes with a thick gray color). In a word, the work is divided using two kinds of groups of configurations with different sizes. In addition, the two kinds of shapes are designed so that the difference between the two are not recognized, which make us feel that the work is made of a kind of similar shapes. Concrete shapes are even suitable for the camouflage of such a trick.
 
 


219
 
221

 

220

 

Figure 219: Division of a screen by two kinds of similar shapes.
Figure 220: "Converging circles" by M.C. Escher.
Figure 221: Division using concrete similar shapes.


 

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