Definition:Finite Projective Plane/Order 4

Definition
The finite projective plane of order $4$.

It can be denoted:
 * $\operatorname {PG} \left({4, 4}\right)$

where:
 * $\operatorname {PG}$ stands for projective geometry
 * the first parameter $2$ specifies the dimension
 * the second parameter $2$ specifies the order.

$\operatorname {PG} \left({4, 4}\right)$ has the following properties:
 * It has $21$ points
 * It has $21$ lines
 * There are $5$ points on each line
 * There are $5$ lines through each point.

Also see

 * Projective Plane of Order 4 is Unique