Problem 173 & 174

[sjhillier]

Problem 173 seems pretty ambiguous. What does "not necessarily using all of the tiles at one time" mean? This is the opposite of the "unique" tiling given in the example? Why make the example show one thing then make the problem something, not just more complicated (that's normal), but with no precise definition?

I think I found the meaning clear when I attempted this problem, but you aren't the first to have a little trouble with the wording. I think you'll probably find the answer to this in the earlier thread which, if I get it right, starts with this post.

[rayfil]

The example simply shows you two different ways (not ONE unique way) which would produce a square lamina as defined, using 32 square tiles. Those two would be part of the 41 different hollow laminea you could produce when you use any quantity of square tiles up to 100 in Problem 173.