Here's how I would layout a diamond pattern.
You haven't said the size of the room. Great room- I'm assuming big.
I don't use chalk lines when laying tile. I set nails in the edges (baseboard, etc.) and pull strings nail-to-nail about 1" above the floor, and leave them there while I work. I can lift them to spread under, and they pop right back when I let go. Chalk lines have a bad way of disappearing when laying tile, and it's almost impossible to re-snap halfway through the job (wet cement, tiles in the way, etc.)
It's very nice to start a long wall with triangular half cut-tile tiles, but I always dry lay a few lines of tile all the way across the floor to see how it will hit the opposite wall. I NEVER leave small tiles.
Of course, there are mathematical ways to lay out the room as well.
There are only 2 ways to layout a room- center a tile, or center a joint. One will leave small pieces at both walls, one will leave large. Of course, with a diamond pattern, is slightly harder, but same principle. The center line of the room has both the center diagonal line (corner to corner) laying on it, and the corners where 4 tiles come together (alternately).
On more trick... 45 deg with a straightedge isn't all that helpful. It's pretty easy to be 47 deg or 42 deg, and be messed up when you get to the other end of the room. However, go back to the strings. If you measure from a 90 deg corner in 2 directions the same dimension (regardless of what it is), connect the dots, and you've got a 45 deg angle. So, after dry fitting a few tiles to see where you want your joints to lay, copy the dimension to the adjacent wall, and connect the two points with a string. This line will be your diagonal joint line.
Did that make sense, or am I talking gibberish?