Can a Chessboard be Tiled with No Overlaps or Half Tiles?

[DaveC426913]

Saw this puzzle during an interview for programmers. Thought it was kind of clever.

Can the domino tile the chessboard with no overlaps, no overhangs and no half tiles?

If so, how can you prove it? If not, how can you prove it?

No, this is not a trick question (or trick answer).

 

[lisab]

Saw this puzzle during an interview for programmers. Thought it was kind of clever.

Can the domino tile the chessboard with no overlaps, no overhangs and no half tiles?

If so, how can you prove it? If not, how can you prove it?

No, this is not a trick question (or trick answer).

Oh crap, Dave, I have homework due tomorrow, but then you go and put this in front of me...

 

[AlephZero]

Spoiler

Hint: each domino covers one blank and one white square.

 

[MarcoD]

Removed the answer.

 

[MarcoD]

Spoiler

Hint: each domino covers one blank and one white square.

Lol. We both were solving it at the same time, and ended at the same conclusion. So there is something to morphogenetic fields after all.