My dog Lily is about the same size as an average cat!
I learned cats don't see red or orange but do see other colors. I learned they also see really well in low light. I learned cats see utra violet which is invisible to us so they see scent trails made by prey and can follow it by sight. Also that they see contrast very well, much better than we do. All useful for catching prey.
It showed the difference between what we see and they see.
I learned about all the things a cats whiskers do, which is why a blind cat can navigate so well, the whiskers tell it where objects are located.
I learned cats mark their territory by rubbing their body against objects including their people. And that they remark their territory constantly. So your cat rubbing against you is claiming you as her own.
And I already knew this but the common domestic cat is an extraordinary predator.