members of the variety generated by the planar modular lattices. These results can easily extended to higher dimensions. Let D be a planar distributive lattice. The basic method in  is the adding new elements to some of the covering squares to get covering M3-s. Take the finite field GF(p n), p =2,n = 1. The corresponding two-dimensional projective geometry GP2 is the Fano-plane. The one-dimensional lattice GP1 i
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