Abstract
A Room square of even side cannot exist. We study arrays of even side which very closely resemble Room squares. The spectrum is determined: the desired arrays exist for all even sides exceeding 4. These arrays are useful in a construction for Room squares containing subsquares. It is shown that, for alln≧4, and all oddr≧7 (exceptr=11), there is a Room square of sidenr +n − 1 which contains subsquares of sidesr and 2n − 1.
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