\(21=9+12\): PG\((2,4)\)=AG\((2,3)\)+DAG\((2,3)\).

Chiara Mancini1, Mauro Zannetti1
1Department of Industrial and Information Engineering and of Economics University of L’ Aquila Via G. Gronchi, 18 I-67100 L’ Aquila Italy

Abstract

In this paper, we provide a construction of \(\mathrm{PG}(2,4)\) by a collage of \(\mathrm{AG}(2,3)\) and its dual \(\mathrm{DAG}(2,3)\). Moreover, we prove that the construction is unique.