# A puzzle with dominoes

I've got a puzzle using dominoes for all here at Puzzling. I came up with it while playing around a few days ago, and I know it can be solved. It may not be a new idea, but to the best of my knowledge, no one else has posed it.

Using the standard set of 28 double-six dominoes, form a square frame of 9 by 9 squares with a 5 by 5 square gap in the middle (one domino being one square wide and two squares long). The dominoes must fit together in a brickwork-style interlocking pattern, such that the frame consists of an inner square frame of 12 dominoes and an outer frame of 16 dominoes.

Now, the catch:

All of the 2 by 2 squares of four adjacent domino-halves must have a pip count equal to 12.

• I've added an image which I think summarizes your puzzle. If not, please undo the edit. Feb 21, 2018 at 9:17
• One thing is not 100% clear to me: If I shift a 2x2 with a pips count of 12 by one square (i.e. half its size) does it still needs to have a pips count of 12 ?? Feb 21, 2018 at 9:18
• I've also linked an image of the standard set of double-six dominoes, for people who may not know what it looks like (for instance, me). Feb 21, 2018 at 9:18
• @BmyGuest - I reckon yes, since the frame has an odd dimension and therefore cannot be dissected into 2x2 squares. Feb 21, 2018 at 10:11
• @JaapScherphuis This was also my thining (hence the 3rd green square in my illustration), but I wanted to check back. Feb 21, 2018 at 16:04