# A Domino Rectangle

Can you arrange a standard set of $$28$$ dominoes into a rectangle of $$7\times8$$, where each of the 8 rows sum to $$21$$ and each of the 7 columns sum to $$24$$?

Image from WikiPedia.

Or, alternatively, pack the dominoes into their $$7\times4\times2$$ box, with equal rows and stacks.

## 1 Answer

This is a well known problem which has been solved. One of the solutions is described in the following paper by Michael Springfield and Wayne Goddard:

Here is the domino arrangement from this paper (it is 7x8, rotate it to get 8x7):