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Reflectology

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Two red groups of the same size, each consisting of at least X stones, which are mirror-symmetric about any one of the three axis lines depicted in figure 1. This means that, if you folded the board in half along one of these lines, the two groups would fold exactly on top of one another. These groups may be embedded. The player who proposes this pattern should specify X, the number of stones in each group. For example, he might propose the pattern by saying �Reflectology 7�, which means that each group must have at least seven stones in it. An example of a �Reflectology 7� pattern is shown in figure 2, along with its axis of symmetry. Also note: any stone through which an axis line passes (see figure 3 for an example) cannot be part of any pair of groups that are symmetrical about that axis, because there are no other spaces with which it could be symmetric.

Figure 1
Figure 2
Figure 3

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This page was last modified on 19 November 2007, at 01:59.
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