A tiling is said to be fault free if there are no straight lines which can split the tiling without intersecting a tile.

Two L-triominoes trivially form a fault free tiling of a 2x3 rectangle.

Find a fault-free tiling of a 9x5 rectangle using 15 L-triominoes.

(In reply to Harder case by Jer)

Can you post your proof that all the tilings must be fault-free?  I would like to see it.

Posted by Brian Smith on 2016-07-27 11:19:17