15 May
2007
15 May
'07
1:22 p.m.
Can someone prove the converse:
"If T can be tiled by N congruent squares, then N is the sum of 2 square numbers." . . .
. . . or come up with a counterexample ???
--Dan
This is a really nice question; has anyone made progress with it? For instance, can someone show that you can't tile a torus with 3 congruent squares? If nobody reports any progress with Dan's question, then I'll mention it on the domino forum (see jamespropp.org/ about-domino); I'm sure someone there will have some ideas. Jim