They took the pictures off the tutorial <_<
In either case, it doesn't seem like either the thread or the tutorial explains
mobile grid systems (not that I looked particularly closely).
But the best way of understanding mobile grids, i think, is firstly to understand how burrowed grid systems work.
Burrowed gridsIn a burrowed-grid system, you have a grid of preplaced burrowed units. Then, by giving a specific number of them away, you can find any specific one when you center a location on the next one. So let's say we've got a simple grid of burrowed zerglings belonging to player 7 like this:
Now say we wanted to do something at the middle one on the top row. What we do is give zerglings away until the next one is the one we want - in this case, we give five lings to player 8:
Then we center a
location on a ling owned by player 7:
And we can do whatever we like at that location.
Depending on how many zerglings we give away, we can put a location on top of any one of the pre-placed zerglings. Just remember to reset all the lings back to player 7 each time.
--------------------
Mobile GridsNow, mobile grids work exactly the same way, except that instead of preplacing the grid, we make one on the spot, and then remove it afterwards.
Often we prefer to use air units, so that we can place them even if there are ground units in the way - you should start away from the edge of the map, though, so that your grid doesn't get distorted. A common unit to use is the overlord, and normally we make nine of them, so we get a nice square:
Just like before. And we can do exactly what we did before to these overlords.
Then we remove all the overlords, and we're cool.
The cool thing about mobile grids is that we can find locations
relative to other ones. So I might want to find a spot which is directly to the left of my Marine, no matter where my Marine is.
In this case, I firstly center a location on my marine. Then I create my mobile grid of overlords or whatever on top. Then I give a specific number away - or actually, with mobile grids it's more common to simply remove them (since you're going to remove all of them eventually anyway). Then I center a location on the next one. Then I've found my location. I can remove all the other ovvies now. Then I can do whatever I like at my newfound location!
Here's a sample trigger:
| Trigger |
| Actions: |
| ¤ center location labeled 'Location1' on Marine owned by Player 1 at 'Anywhere'. |
| ¤ Create 9 overlords at 'Location1' for Player 1. |
| ¤ Remove 1 overlord at 'Anywhere' for Player 1. |
| ¤ Center location labeled 'Location1' on overlord owned by Player 1 at 'Anywhere' |
| ¤ Remove all overlords for Player 1. |
| ¤ Create 1 Firebat for Player 2 at 'Location1'. |
| ¤ Display text for current player: "FIREBAT: Hey! I'm standing to the left of that marine! =D" |
To get further away from the marine, simply repeat the mobile grid process multiple times.
As for what you can do with them, that's up to your imagination

Have fun!