Gromov's inequality for complex projective space

Gromov's inequality for complex projective space tells us how much of a space we can fill up with a certain number of points or shapes. In other words, it gives us information about how much of a space can be filled with shapes and points. To understand this, let's think about an empty room. The amount of space we can fill in the room depends on how many people, furniture, and other things we can fit in the room. Gromov's inequality tells us how much of the room we can fill, depending on how many people and things we have.