Visualizing lattice/atoms in cubes?

[orangeincup]

Homework Statement

I have a lot of questions about body-centered, face-centered, diamond, zincblende, etc structures and how many atoms are in a face, or on the 100, 110, or 111 plane. I just want to know in general how I should visualize these. For example, why are there only 2 atoms in the 110 place of GaAs(which is meant to be a Diamond lattice?)

I have trouble seeing how there isn't more then the numbers listed for all the different structures.

Homework Equations

The Attempt at a Solution

 

[orangeincup]

I found a book that explained it better with pictures, I think I understand it now. Thanks for asking.