Abstract
The purpose of the present article is to obtain partitions of Desarguesian projective planes PG (2,q2), and of Hughes planes, too, into a number of q2+q+1 equicardinal arcs. In a previous paper we showed that PG(2,q2) is a disjoint union of arcs as above, which, as it turned out later, were also complete. We now prove that a similar partition can be obtained for the Hughes planes. We also partition Desarguesian and Hughes planes into incomplete arcs with the same number of points.
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Kestenband, B.C. Partitions of Desarguesian and Hughes planes into complete and incomplete arcs. J Geom 36, 91–98 (1989). https://doi.org/10.1007/BF01231024
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DOI: https://doi.org/10.1007/BF01231024