For Exercises 24–28, you will find it useful to make yourself several copies of each of the polyominos (e.g., by cutting them out of graph paper).

Question 20.58

image 28. In Exercises 25 and 27, we indulged in what would appear to be “overkill,” demonstrating the same result in two different ways. Doing so can be useful in mathematics for giving greater understanding about why and how something occurs or is true. Here, those exercises should give you the idea that alternative 2 of the Translation Criterion can reduce to (and hence is more general than) alternative 1 if some points are allowed to coincide. For such a reduction, which pairs of points must coincide? (You are allowed to relabel the remaining four distinct points.)