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gap> geom1 := ProjectiveSpace(2, 3);
ProjectiveSpace(2, 3)
gap> geom2 := ProjectiveSpace(3, 3);
ProjectiveSpace(3, 3)
gap> planes := Planes(geom2);
<planes of ProjectiveSpace(3, 3)>
gap> hyp := Random(planes);
<a plane in ProjectiveSpace(3, 3)>
gap> em := NaturalEmbeddingBySubspace(geom1, geom2, hyp);
<geometry morphism from <All elements of ProjectiveSpace(2,
3)> to <All elements of ProjectiveSpace(3, 3)>>
gap> points := Points(geom1);
<points of ProjectiveSpace(2, 3)>
gap> x := Random(points);
<a point in ProjectiveSpace(2, 3)>
gap> x^em;
<a point in ProjectiveSpace(3, 3)>
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