How to properly hook up to parallel connected batteries: A Common Sense explanation!

So, you've been blessed with, or are going to buy a bunch of batteries to parallel connect: What is the best way to connect your controller, inverter, and load to them?
Do you go end connected, middle connected, or diagonal connected?
Here is a simple proof, no complicated mathematics: If you can count to 8, you should be able to follow along and see for yourself which method provides for a balanced charge/discharge for your batteries.