# zbMATH — the first resource for mathematics

Construction of magic rectangles of odd order. (English) Zbl 1278.05034
Summary: Magic rectangles are well-known for their very interesting and entertaining combinatorics. Such magic rectangles have also been used in designing experiments. In a magic rectangle, the integers 1 to $$pq$$ are arranged in an array of $$p$$ rows and $$q$$ columns so that each row adds to the same total $$P$$ and each column to the same total $$Q$$. In the present paper we provide a systematic method for constructing a $$p$$ by $$q$$ magic rectangle where $$p>1$$ and $$q>1$$ are any odd integers.

##### MSC:
 05B15 Orthogonal arrays, Latin squares, Room squares
Full Text: