A technical Question

Q7: How many ways can you make something that looks more or less like:

After you make the squares in a given symmetry, fill them in and see what the symmetry really is...


Thus we see some trouble; this may have been apparent (or the source of frustration) in last week's homework. First, symmetries can be produced by a sub-symmetry. Just keep your eyes out for this problem. Second, and more seriously, many choices of motif and generating isometries can produce the same symmetry. This seems like a serious obstacle to understanding the different possiblities. But never fear... a surprise will save us...


So, What do all those symbols mean anyway?

to outline

  Chaim Goodman-Strauss
  Dept. Mathematics
  Univ. Arkansas
  Fayetteville, AR 72701