ABSTRACT

The fact that it may be possible to construct a map from a table of distances can be seen by considering the example of four objects A, B, C, and D shown in Figure 11.1. The distances between the objects are given in Table 11.1. For example, the distance from A to B, which is the same as the distance from B to A, is 6.0, while the distance from each object to itself is always 0.0. It seems plausible that the map can be reconstructed from the array of distances. However, it is also apparent that a mirror image of the map, as shown in Figure 11.2, will have the same array of distances between objects. Consequently, it seems clear that a recovery of the original map will be subject to a possible reversal of this type.