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Polycross designs with complete neighbor balance

Morgan J.P.

Euphytica 39(1): 59-64

1988

Polycross designs for n clones in n2 replicates, composed of n n .times. n squares, are presented, n being any positive integer. The method depends on whether n is odd or even, and for even n the squares are Latin. In either case, each clone has every other clone as a nearest neighbor exactly n times in each of the four primary directions (N, S, E, W) and n-2 times in each of the four intermediate directions (NE, SE, SW, NW). Also, each clone has itself as nearest neighbor n-1 in each intermediate direction.

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