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gap> blocks := [
> [ 1, 2, 3, 4, 5 ], [ 1, 6, 7, 8, 9 ], [ 1, 10, 11, 12, 13 ],
> [ 1, 14, 15, 16, 17 ], [ 1, 18, 19, 20, 21 ], [ 2, 6, 10, 14, 18 ],
> [ 2, 7, 11, 15, 19 ], [ 2, 8, 12, 16, 20 ], [ 2, 9, 13, 17, 21 ],
> [ 3, 6, 11, 16, 21 ], [ 3, 7, 10, 17, 20 ], [ 3, 8, 13, 14, 19 ],
> [ 3, 9, 12, 15, 18 ], [ 4, 6, 12, 17, 19 ], [ 4, 7, 13, 16, 18 ],
> [ 4, 8, 10, 15, 21 ], [ 4, 9, 11, 14, 20 ], [ 5, 6, 13, 15, 20 ],
> [ 5, 7, 12, 14, 21 ], [ 5, 8, 11, 17, 18 ], [ 5, 9, 10, 16, 19 ] ];;
gap> gp := GeneralisedPolygonByBlocks( blocks );
<projective plane order 4>
gap> l := Random(Lines(gp));
<a line in <projective plane order 4>>
gap> pts := ShadowOfElement(gp,l,1);
<shadow points in <projective plane order 4>>
gap> List(pts);
[ <a point in <projective plane order 4>>,
<a point in <projective plane order 4>>,
<a point in <projective plane order 4>>,
<a point in <projective plane order 4>>,
<a point in <projective plane order 4>> ]
gap> p := Random(Points(gp));
<a point in <projective plane order 4>>
gap> lines := Lines(p);
<shadow lines in <projective plane order 4>>
gap> List(lines);
[ <a line in <projective plane order 4>>, <a line in <projective plane order
4>>, <a line in <projective plane order 4>>,
<a line in <projective plane order 4>>, <a line in <projective plane order
4>> ]
[ Dauer der Verarbeitung: 0.4 Sekunden
(vorverarbeitet)
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