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gap> mat := [ [ 1, 1, 0, 0, 0, 1, 0 ], [ 1, 0, 0, 1, 1, 0, 0 ],
> [ 1, 0, 1, 0, 0, 0, 1 ], [ 0, 1, 1, 1, 0, 0, 0 ],
> [ 0, 1, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 1, 0, 1, 1 ],
> [ 0, 0, 1, 0, 1, 1, 0 ] ];
[ [ 1, 1, 0, 0, 0, 1, 0 ], [ 1, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 1, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 1, 0, 1, 1 ],
[ 0, 0, 1, 0, 1, 1, 0 ] ]
gap> gp := GeneralisedPolygonByIncidenceMatrix(mat);
<projective plane order 2>
gap> l := Random(Lines(gp));
<a line in <projective plane order 2>>
gap> m := Random(Lines(gp));
<a line in <projective plane order 2>>
gap> Meet(l,m);
<a point in <projective plane order 2>>
gap> ps := ParabolicQuadric(4,3);
Q(4, 3)
gap> gp := GeneralisedPolygonByElements(Set(Points(ps)),Set(Lines(ps)),\*);
<generalised quadrangle of order [ 3, 3 ]>
gap> l := Random(Lines(gp));
<a line in <generalised quadrangle of order [ 3, 3 ]>>
gap> m := Random(Lines(gp));
<a line in <generalised quadrangle of order [ 3, 3 ]>>
gap> Meet(l,m);
#I <x> and <y> do meet in a common point of gp
fail
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