Yes, very true!
Hyperplanes would be 3D objects.
Just like if a 4D object was shoved into a 3d universe, we'd only see chunks of the 3D objects (or hyperplanes) that make it up
Read the book Hyperspace by Michio Kaku, provides a lot of thought
Also, the book What to Make and Do in the 4th dimension by Matthew Parker is great as well!