Projective plane

These parallel lines appear to intersect in the vanishing point

The Moulton plane. Lines sloping down and to the right are bent where they cross the y-axis.

The Fano plane. Points are shown as dots; lines are shown as lines or circles.

(Non-empty) Degenerate Projective Planes

In mathematics, a projective plane is a geometric structure that extends the concept of a plane. In the ordinary Euclidean plane, two lines typically intersect in a single point, but there are some pairs of lines (namely, parallel lines) that do not intersect. A projective plane can be thought of as an ordinary plane equipped with additional "points at infinity" where parallel lines intersect. Thus any two lines in a projective plane intersect in one and only one point.

单词	Finite projective plane
释义	Finite projective plane 英语百科 Projective plane In mathematics, a projective plane is a geometric structure that extends the concept of a plane. In the ordinary Euclidean plane, two lines typically intersect in a single point, but there are some pairs of lines (namely, parallel lines) that do not intersect. A projective plane can be thought of as an ordinary plane equipped with additional "points at infinity" where parallel lines intersect. Thus any two lines in a projective plane intersect in one and only one point.
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Finite projective plane

Projective plane