Knud B. Olesen

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A formula defining a polycross pattern is introduced. The pattern appears to be a special latin square in which every clone has any one other clone as a neighbour and just once in each of the four directions North, South, East, and West, presenting an ideal polycross pattern. The formula holds good for n clones when n+1 is a prime.
A polycross design for n2 replicates of n distinct clones is introduced. The design consists of n distinct n x n polycross patterns, provided n+1 is a prime number. The design is completely balanced in that it has the following properties with respect to nearest neighbours: In anyone of the four main directions, North, South, East, and West, every clone has(More)
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