Shape as Memory Storage - Ambient Intelligence for Scientific Discovery - page 83

other. Fig 1, is an example of such a shape. However, in such cases, one might
still wish to regard the figure, or part of it, as symmetrical about some curved
axis. Such a generalized axis can be constructed in the following way.
Consider Fig 2. It shows two curves

c 2 , which can be understood as
two sides of an object. Notice that no mirror could reflect one of these curves
onto the other. The goal is to construct a symmetry axis between the two curves.
One proceeds as follows: As shown in Fig 3, introduce a circle that is tangential
simultaneously to the two curves. Here the two tangent points are marked as A
and B.

c 1 and

Fig. 2. How can one construct a symmetry axis between these to curves?

Fig. 3. The points Q define the symmetry axis.