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

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $21$