Show that a 6x6 square tiled with dominoes will always have at least one fault line.

(In reply to A counting solution by Joel)

Great solution.

This explains why there are not coverings of 4x4 and 4x6 but there are ones for 6x8 and 8x8.

It also explains why you can have smaller coverings if one of the sides is odd, such as problem 4258

Posted by Jer on 2007-03-23 10:46:44